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University of Kentucky
1.
Cheng, Jin.
Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions.
Degree: 2012, University of Kentucky
URL: https://uknowledge.uky.edu/ece_etds/11 
► This dissertation develops surface integral equations using constraint-based Helmholtz decompositions for electromagnetic modeling. This new approach is applied to the electric field integral equation (EFIE),…
(more)
▼ This dissertation develops surface integral equations using constraint-based Helmholtz decompositions for electromagnetic modeling. This new approach is applied to the electric field integral equation (EFIE), and it incorporates a Helmholtz decomposition (HD) of the current. For this reason, the new formulation is referred to as the EFIE-hd. The HD of the current is accomplished herein via appropriate surface integral constraints, and leads to a stable linear system. This strategy provides accurate solutions for the electric and magnetic fields at both high and low frequencies, it allows for the use of a locally corrected Nyström (LCN) discretization method for the resulting formulation, it is compatible with the local global solution framework, and it can be used with non-conformal meshes.
To address large-scale and complex electromagnetic problems, an overlapped localizing local-global (OL-LOGOS) factorization is used to factorize the system matrix obtained from an LCN discretization of the augmented EFIE (AEFIE). The OL-LOGOS algorithm provides good asymptotic performance and error control when used with the AEFIE. This application is used to demonstrate the importance of using a well-conditioned formulation to obtain efficient performance from the factorization algorithm.
Subjects/Keywords: Helmholtz decomposition; electric field integral equation; low frequency; Nyström; local-global solution; Electromagnetics and Photonics
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APA (6th Edition):
Cheng, J. (2012). Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/ece_etds/11
Chicago Manual of Style (16th Edition):
Cheng, Jin. “Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions.” 2012. Doctoral Dissertation, University of Kentucky. Accessed April 10, 2021.
https://uknowledge.uky.edu/ece_etds/11.
MLA Handbook (7th Edition):
Cheng, Jin. “Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions.” 2012. Web. 10 Apr 2021.
Vancouver:
Cheng J. Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions. [Internet] [Doctoral dissertation]. University of Kentucky; 2012. [cited 2021 Apr 10].
Available from: https://uknowledge.uky.edu/ece_etds/11.
Council of Science Editors:
Cheng J. Formulation and Solution of Electromagnetic Integral Equations Using Constraint-Based Helmholtz Decompositions. [Doctoral Dissertation]. University of Kentucky; 2012. Available from: https://uknowledge.uky.edu/ece_etds/11
Indian Institute of Science
2.
Padhy, Venkat Prasad.
Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation.
Degree: PhD, Faculty of Engineering, 2018, Indian Institute of Science
URL: http://etd.iisc.ac.in/handle/2005/3104
► Estimation of the Radar Cross Section of large inhomogeneous scattering objects such as composite aircrafts, ships and biological bodies at high frequencies has posed large…
(more)
▼ Estimation of the Radar Cross Section of large inhomogeneous scattering objects such as composite aircrafts, ships and biological bodies at high frequencies has posed large computational challenge. The detection of scattering from wake vortex leading to detection and possible identification of low observable aircrafts also demand the development of computationally efficient and rigorous numerical techniques. Amongst the various methods deployed in Computational Electromagnetics, the Method of Moments predicts the electromagnetic characteristics accurately. Method of Moments is a rigorous method, combined with an array of modeling techniques such as triangular patch, cubical cell and tetrahedral modeling. Method of Moments has become an accurate technique for solving electromagnetic problems from complex shaped homogeneous and inhomogeneous objects. One of the drawbacks of Method of Moments is the fact that it results into a dense matrix, the inversion of which is a computationally complex both in terms of physical memory and compute power. This has been the prime reason for the Method of Moments hitherto remaining as a low frequency method. With recent advances in supercomputing, it is possible to extend the range of Method of Moments for Radar Cross Section computation of aircraft like structures and radiation characteristic of antennas mounted on complex shaped bodies at realistic frequencies of practical interest. This thesis is a contribution in this direction.
The main focus of this thesis is development of parallel Method of Moments solvers, applied to solve real world electromagnetic wave scattering and radiation problems from inhomogeneous objects. While the methods developed in this thesis are applicable to a variety of problems in Computational Electromagnetics as shown by illustrative examples, in specific, it has been applied to compute the Radar Cross Section enhancement due to acoustic disturbances and flow inhomogeneities from the wake vortex of an aircraft, thus exploring the possibility of detecting stealth aircraft. Illustrative examples also include the analysis of antenna mounted on an aircraft.
In this thesis, first the RWG basis functions have been used in Method of Moments procedure, for solving scattering problems from complex conducting structures such as aircraft and antenna(s) mounted on airborne vehicles, of electrically large size of about 45 and 0.76 million unknowns.
Next, the solver using SWG basis functions with tetrahedral and pulse basis functions with cubical modeling have been developed to solve scattering from 3D inhomogeneous bodies. The developed codes are validated by computing the Radar Cross Section of spherical homogeneous and inhomogeneous layered scatterers, lossy dielectric cylinder with region wise inhomogeneity and high contrast dielectric objects.
Aerodynamic flow solver ANSYS FLUENT, based on Finite Volume Method is used to solve inviscid compressible flow problem around the aircraft. The gradients of pressure/density are converted to dielectric constant variation…
Advisors/Committee Members: Balakrishnan, N (advisor).
Subjects/Keywords: Wake-Vortex; Singularities; Antennas Analysis; Surface Integral Equation; Electric Field Integral Equation (EFIE); Volume Integral Equation (VIE); Computational Electromagnetics; Volume-Surface Integral Equations (VSIE); Radar Cross Section; RCS; Wake-Vortex Sensors; Wake Vortex; Aerospace Engineering
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APA (6th Edition):
Padhy, V. P. (2018). Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3104
Chicago Manual of Style (16th Edition):
Padhy, Venkat Prasad. “Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation.” 2018. Doctoral Dissertation, Indian Institute of Science. Accessed April 10, 2021.
http://etd.iisc.ac.in/handle/2005/3104.
MLA Handbook (7th Edition):
Padhy, Venkat Prasad. “Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation.” 2018. Web. 10 Apr 2021.
Vancouver:
Padhy VP. Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2018. [cited 2021 Apr 10].
Available from: http://etd.iisc.ac.in/handle/2005/3104.
Council of Science Editors:
Padhy VP. Study of RCS from Aerodynamic Flow using Parallel Volume-Surface Integral Equation. [Doctoral Dissertation]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3104
Missouri University of Science and Technology
3.
Ke, Haixin.
On improving the low-frequency performance of full-wave modeling techniques.
Degree: PhD, Electrical Engineering, Missouri University of Science and Technology
URL: https://scholarsmine.mst.edu/doctoral_dissertations/1673
► "The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application…
(more)
▼ "The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination" – Abstract, page iv.
Subjects/Keywords: Electric field integral equation (EFIE); Electrical and Computer Engineering
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APA (6th Edition):
Ke, H. (n.d.). On improving the low-frequency performance of full-wave modeling techniques. (Doctoral Dissertation). Missouri University of Science and Technology. Retrieved from https://scholarsmine.mst.edu/doctoral_dissertations/1673
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Chicago Manual of Style (16th Edition):
Ke, Haixin. “On improving the low-frequency performance of full-wave modeling techniques.” Doctoral Dissertation, Missouri University of Science and Technology. Accessed April 10, 2021.
https://scholarsmine.mst.edu/doctoral_dissertations/1673.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
MLA Handbook (7th Edition):
Ke, Haixin. “On improving the low-frequency performance of full-wave modeling techniques.” Web. 10 Apr 2021.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Vancouver:
Ke H. On improving the low-frequency performance of full-wave modeling techniques. [Internet] [Doctoral dissertation]. Missouri University of Science and Technology; [cited 2021 Apr 10].
Available from: https://scholarsmine.mst.edu/doctoral_dissertations/1673.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Council of Science Editors:
Ke H. On improving the low-frequency performance of full-wave modeling techniques. [Doctoral Dissertation]. Missouri University of Science and Technology; Available from: https://scholarsmine.mst.edu/doctoral_dissertations/1673
Note: this citation may be lacking information needed for this citation format:
No year of publication.
University of Kentucky
4.
Johnson, Buxton L., Sr.
HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL.
Degree: 2017, University of Kentucky
URL: https://uknowledge.uky.edu/ece_etds/99
► Understanding, predicting, and controlling electromagnetic field interactions on and between complex RF platforms requires high fidelity computational electromagnetic (CEM) simulation. The primary CEM tool within…
(more)
▼ Understanding, predicting, and controlling electromagnetic field interactions on and between complex RF platforms requires high fidelity computational electromagnetic (CEM) simulation. The primary CEM tool within NASA is GEMINI, an integral equation based method-of-moments (MoM) code for frequency domain electromagnetic modeling. However, GEMINI is currently limited in the size and complexity of problems that can be effectively handled. To extend GEMINI’S CEM capabilities beyond those currently available, primary research is devoted to integrating the MFDlib library developed at the University of Kentucky with GEMINI for efficient filling, factorization, and solution of large electromagnetic problems formulated using integral equation methods. A secondary research project involves the hybrid parallelization of GEMINI for the efficient speedup of the impedance matrix filling process. This thesis discusses the research, development, and testing of the secondary research project on the High Performance Computing DLX Linux supercomputer cluster. Initial testing of GEMINI’s existing MPI parallelization establishes the benchmark for speedup and reveals performance issues subsequently solved by the NASA CEM Lab. Implementation of hybrid parallelization incorporates GEMINI’s existing course level MPI parallelization with Open MP fine level parallel threading. Simple and nested Open MP threading are compared. Final testing documents the improvements realized by hybrid parallelization.
Subjects/Keywords: computational electromagnetics; method of moments; electric field integral equation; hybrid parallelization; high performance computing; Electromagnetics and Photonics; Numerical Analysis and Scientific Computing
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APA (6th Edition):
Johnson, Buxton L., S. (2017). HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL. (Masters Thesis). University of Kentucky. Retrieved from https://uknowledge.uky.edu/ece_etds/99
Chicago Manual of Style (16th Edition):
Johnson, Buxton L., Sr. “HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL.” 2017. Masters Thesis, University of Kentucky. Accessed April 10, 2021.
https://uknowledge.uky.edu/ece_etds/99.
MLA Handbook (7th Edition):
Johnson, Buxton L., Sr. “HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL.” 2017. Web. 10 Apr 2021.
Vancouver:
Johnson, Buxton L. S. HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL. [Internet] [Masters thesis]. University of Kentucky; 2017. [cited 2021 Apr 10].
Available from: https://uknowledge.uky.edu/ece_etds/99.
Council of Science Editors:
Johnson, Buxton L. S. HYBRID PARALLELIZATION OF THE NASA GEMINI ELECTROMAGNETIC MODELING TOOL. [Masters Thesis]. University of Kentucky; 2017. Available from: https://uknowledge.uky.edu/ece_etds/99
5.
Xia, Tian.
A surface integral equation method for dielectrics at low frequencies.
Degree: MS, 1200, 2015, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/72907
► This thesis is dedicated to using surface integral equations to solve electro- magnetic problems involved in integrated circuits. Since normally the sizes of the devices…
(more)
▼ This thesis is dedicated to using surface
integral equations to solve electro-
magnetic problems involved in integrated circuits. Since normally the sizes
of the devices in this application are much smaller than the wavelength of
the electromagnetic waves, special considerations are needed because of the
low frequency breakdown.
The augmented technique, a useful remedy for low frequency breakdown
of the
electric field integral equation is introduced as the background of this
thesis. This augmented
electric field integral equation provides a simple solu-
tion for broadband electromagnetic simulation of perfect
electric conductor
structures. This thesis presented here exploits the augmented method for
lossless and lossy dielectrics.
The use of the conventional Rao-Wilton-Glisson (RWG) basis function as
basis and testing functions fails because of the testing issue. Instead, the
Buffa-Christiansen (BC) basis function is proposed to overcome this diffi-
culty. With the combined use of RWG and BC basis functions, a new formu-
lation is developed achieving a good convergence and accuracy. For highly
lossy medium, however, a new integration scheme and a simple, efficient
strategy with a fast algorithm is adopted. After these treatments, the skin
depth of current in the conductive medium can be accurately captured down
to very low frequency.
Advisors/Committee Members: Chew, Weng C. (advisor).
Subjects/Keywords: Computational Electromagnetics; Integral Equation; Augmented electric field integral equation; Dielectrics; Conductors
…called the augmented electric field integral equation (A-EFIE) eliminates the search… …2
AUGMENTED ELECTRIC FIELD
INTEGRAL EQUATION
The electric field integral equation (… …augmented
electric field integral equation (A-EFIE), to solve this problem.
2.1 Low… …integral equations (EFIE), magnetic field integral equation (MFIE) and a… …surface integral equation method for both
the perfect electric conductor (PEC) and…
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APA ·
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APA (6th Edition):
Xia, T. (2015). A surface integral equation method for dielectrics at low frequencies. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/72907
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Xia, Tian. “A surface integral equation method for dielectrics at low frequencies.” 2015. Thesis, University of Illinois – Urbana-Champaign. Accessed April 10, 2021.
http://hdl.handle.net/2142/72907.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Xia, Tian. “A surface integral equation method for dielectrics at low frequencies.” 2015. Web. 10 Apr 2021.
Vancouver:
Xia T. A surface integral equation method for dielectrics at low frequencies. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2015. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/2142/72907.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Xia T. A surface integral equation method for dielectrics at low frequencies. [Thesis]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/72907
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Indian Institute of Science
6.
Das, Arkaprovo.
Fast Solvers for Integtral-Equation based Electromagnetic Simulations.
Degree: PhD, Faculty of Engineering, 2018, Indian Institute of Science
URL: http://etd.iisc.ac.in/handle/2005/2998
► With the rapid increase in available compute power and memory, and bolstered by the advent of efficient formulations and algorithms, the role of 3D full-wave…
(more)
▼ With the rapid increase in available compute power and memory, and bolstered by the advent of efficient formulations and algorithms, the role of 3D full-wave computational methods for accurate modelling of complex electromagnetic (EM) structures has gained in significance. The range of problems includes Radar Cross Section (RCS) computation, analysis and design of antennas and passive microwave circuits, bio-medical non-invasive detection and therapeutics, energy harvesting etc. Further, with the rapid advances in technology trends like System-in-Package (SiP) and System-on-Chip (SoC), the fidelity of chip-to-chip communication and package-board electrical performance parameters like signal integrity (SI), power integrity (PI), electromagnetic interference (EMI) are becoming increasingly critical. Rising pin-counts to satisfy functionality requirements and decreasing layer-counts to maintain cost-effectiveness necessitates 3D full wave electromagnetic solution for accurate system modelling.
Method of Moments (MoM) is one such widely used computational technique to solve a 3D electromagnetic problem with full-wave accuracy. Due to lesser number of mesh elements or discretization on the geometry, MoM has an advantage of a smaller matrix size. However, due to Green's Function interactions, the MoM matrix is dense and its solution presents a time and memory challenge. The thesis focuses on formulation and development of novel techniques that aid in fast MoM based electromagnetic solutions.
With the recent paradigm shift in computer hardware architectures transitioning from single-core microprocessors to multi-core systems, it is of prime importance to parallelize the serial electromagnetic formulations in order to leverage maximum computational benefits. Therefore, the thesis explores the possibilities to expedite an electromagnetic simulation by scalable parallelization of near-linear complexity algorithms like Fast Multipole Method (FMM) on a multi-core platform.
Secondly, with the best of parallelization strategies in place and near-linear complexity algorithms in use, the solution time of a complex EM problem can still be exceedingly large due to over-meshing of the geometry to achieve a desired level of accuracy. Hence, the thesis focuses on judicious placement of mesh elements on the geometry to capture the physics of the problem without compromising on accuracy- a technique called Adaptive Mesh Refinement. This facilitates a reduction in the number of solution variables or degrees of freedom in the system and hence the solution time.
For multi-scale structures as encountered in chip-package-board systems, the MoM formulation breaks down for parts of the geometry having dimensions much smaller as compared to the operating wavelength. This phenomenon is popularly known as low-frequency breakdown or low-frequency instability. It results in an ill-conditioned MoM system matrix, and hence higher iteration count to converge when solved using an iterative solver framework. This consequently increases the solution time…
Advisors/Committee Members: Gope, Dipanjan (advisor).
Subjects/Keywords: Electromagnetic Solvers; Method of Moments (MOM); Electromagnetic Simulations; Computational Electromagnetics; Electromagnetics; Fast Multiple Method; Adaptive Mesh Refinement; Integral Equation Electromagnetic Solvers; Electromagnetic Refinement Indicators; Electric Field Integral Equation; Electrical Communication Engineering
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APA ·
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APA (6th Edition):
Das, A. (2018). Fast Solvers for Integtral-Equation based Electromagnetic Simulations. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/2998
Chicago Manual of Style (16th Edition):
Das, Arkaprovo. “Fast Solvers for Integtral-Equation based Electromagnetic Simulations.” 2018. Doctoral Dissertation, Indian Institute of Science. Accessed April 10, 2021.
http://etd.iisc.ac.in/handle/2005/2998.
MLA Handbook (7th Edition):
Das, Arkaprovo. “Fast Solvers for Integtral-Equation based Electromagnetic Simulations.” 2018. Web. 10 Apr 2021.
Vancouver:
Das A. Fast Solvers for Integtral-Equation based Electromagnetic Simulations. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2018. [cited 2021 Apr 10].
Available from: http://etd.iisc.ac.in/handle/2005/2998.
Council of Science Editors:
Das A. Fast Solvers for Integtral-Equation based Electromagnetic Simulations. [Doctoral Dissertation]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/2998
7.
Dély, Alexandre.
Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel.
Degree: Docteur es, Génie électrique, 2019, Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire
URL: http://www.theses.fr/2019IMTA0135
► L'équation intégrale du champ électrique (EFIE) est très utilisée pour résoudre des problèmes de diffusion d'ondes électromagnétiques grâce à la méthode aux éléments de frontière…
(more)
▼ L'équation intégrale du champ électrique (EFIE) est très utilisée pour résoudre des problèmes de diffusion d'ondes électromagnétiques grâce à la méthode aux éléments de frontière (BEM). En domaine fréquentiel, les systèmes matriciels émergeant de la BEM souffrent, entre autres, de deux problèmes de mauvais conditionnement : l'augmentation du nombre d'inconnues et la diminution de la fréquence entrainent l'accroissement du nombre de conditionnement. En conséquence, les solveurs itératifs requièrent plus d'itérations pour converger vers la solution, voire ne convergent pas du tout. En domaine temporel, ces problèmes sont également présents, en plus de l'instabilité DC qui entraine une solution erronée en fin de simulation. La discrétisation en temps est obtenue grâce à une quadrature de convolution basée sur les méthodes de Runge-Kutta implicites.Dans cette thèse, diverses formulations d'équations intégrales utilisant notamment des conditions d'impédance aux frontières (IBC) sont étudiées et préconditionnées. Dans une première partie en domaine fréquentiel, l'IBC-EFIE est stabilisée pour les basses fréquences et les maillages denses grâce aux projecteurs quasi-Helmholtz et à un préconditionnement de type Calderón. Puis une nouvelle forme d'IBC est introduite, ce qui permet la construction d'un préconditionneur multiplicatif. Dans la seconde partie en domaine temporel, l'EFIE est d'abord régularisée pour le cas d'un conducteur électrique parfait (PEC), la rendant stable pour les pas de temps larges et immunisée à l'instabilité DC. Enfin, unerésolution efficace de l'IBC-EFIE est recherchée, avant de stabiliser l'équation pour les pas de temps larges et les maillages denses.
The Electric Field Integral Equation (EFIE) is widely used to solve wave scattering problems in electromagnetics using the Boundary Element Method (BEM). In frequency domain, the linear systems stemming from the BEM suffer, amongst others, from two ill-conditioning problems: the low frequency breakdown and the dense mesh breakdown. Consequently, the iterative solvers require more iterations to converge to the solution, or they do not converge at all in the worst cases. These breakdowns are also present in time domain, in addition to the DC instability which causes the solution to be completely wrong in the late time steps of the simulations. The time discretization is achieved using a convolution quadrature based on Implicit Runge-Kutta (IRK) methods, which yields a system that is solved by Marching-On-in-Time (MOT). In this thesis, several integral equations formulations, involving Impedance Boundary Conditions (IBC) for most of them, are derived and subsequently preconditioned. In a first part dedicated to the frequency domain, the IBC-EFIE is stabilized for the low frequency and dense meshes by leveraging the quasi-Helmholtz projectors and a Calderón-like preconditioning. Then, a new IBC is introduced to enable the development of a multiplicative preconditioner for the new IBC-EFIE. In the second part on time domain,the EFIE is regularized for…
Advisors/Committee Members: Andriulli, Francesco Paolo (thesis director), Cools, Kristof (thesis director).
Subjects/Keywords: Equation intégrale du champ électrique (EFIE); Conditions d'impédance aux frontières (IBC); Préconditionnement; Domaine fréquentiel; Domaine temporel; Electric field integral equation (EFIE); Impedance boundary condition (IBC); Preconditioning; Frequency domain; Time domain; 620
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APA (6th Edition):
Dély, A. (2019). Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel. (Doctoral Dissertation). Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire. Retrieved from http://www.theses.fr/2019IMTA0135
Chicago Manual of Style (16th Edition):
Dély, Alexandre. “Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel.” 2019. Doctoral Dissertation, Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire. Accessed April 10, 2021.
http://www.theses.fr/2019IMTA0135.
MLA Handbook (7th Edition):
Dély, Alexandre. “Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel.” 2019. Web. 10 Apr 2021.
Vancouver:
Dély A. Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel. [Internet] [Doctoral dissertation]. Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire; 2019. [cited 2021 Apr 10].
Available from: http://www.theses.fr/2019IMTA0135.
Council of Science Editors:
Dély A. Computational strategies for impedance boundary condition integral equations in frequency and time domains : Stratégies computationelles pour des équations intégrales avec conditions d'impédance aux frontières en domaines fréquentiel et temporel. [Doctoral Dissertation]. Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire; 2019. Available from: http://www.theses.fr/2019IMTA0135
NSYSU
8.
Kang, Po-Song.
A study of Time Scales for Plasma Boundary Layers on a Surface.
Degree: Master, Mechanical and Electro-Mechanical Engineering, 2017, NSYSU
URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716117-201416
► This study purposes a magnetohydrodynamics (MHD) model to simulate the unsteady two-dimensional transport phenomena, magnetic field and electric field in argon (Ar) plasma, under low…
(more)
▼ This study purposes a magnetohydrodynamics (MHD) model to simulate the unsteady two-dimensional transport phenomena, magnetic
field and
electric field in argon (Ar) plasma, under low pressure and high density between two infinite planes, while the lower plane has a negative voltage. This model accounts for viscous, ionization and recombination effects. The results and times scales analysis show density, velocity, temperature, magnetic
field,
electric field and the boundary layer thickness of the electrons, ion and neutral. The property of thermal conductivity is a function of temperature.
Advisors/Committee Members: Lin, Kuang C (chair), Chen, Long-Jeng (chair), Wei, Peng-Sheng (committee member), Chen, Han-Taw (chair), Lee, Ming-San (chair).
Subjects/Keywords: electric field; temperature boundary layer; magnetic field; Saha equation; Magnetohydrodynamics; velocity boundary layer
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APA (6th Edition):
Kang, P. (2017). A study of Time Scales for Plasma Boundary Layers on a Surface. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716117-201416
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Kang, Po-Song. “A study of Time Scales for Plasma Boundary Layers on a Surface.” 2017. Thesis, NSYSU. Accessed April 10, 2021.
http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716117-201416.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Kang, Po-Song. “A study of Time Scales for Plasma Boundary Layers on a Surface.” 2017. Web. 10 Apr 2021.
Vancouver:
Kang P. A study of Time Scales for Plasma Boundary Layers on a Surface. [Internet] [Thesis]. NSYSU; 2017. [cited 2021 Apr 10].
Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716117-201416.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Kang P. A study of Time Scales for Plasma Boundary Layers on a Surface. [Thesis]. NSYSU; 2017. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716117-201416
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Iowa State University
9.
Wu, Tao.
The theory of eddy current nondestructive evaluation by using the volume integral equation method.
Degree: 2016, Iowa State University
URL: https://lib.dr.iastate.edu/etd/16058
► Since 1950s sodium cooled fast reactors (SFR) have been developed and have been approaching their commercialization as nuclear power plants through the development of experimental…
(more)
▼ Since 1950s sodium cooled fast reactors (SFR) have been developed and have been approaching their commercialization as nuclear power plants through the development of experimental and prototype reactors. High-performance steels such as 9Cr-1Mo, oxide dispersion strengthened (ODS) have been used for metallic parts such as heat exchanger tubes and fuel cladding in fast reactors. They are favored because of their high temperature creep and fatigue resistance properties. Periodical nondestructive in-service inspection (ISI) of those metallic parts is essential since any damage in the parts can lead to malfunction or even destructive accidents. However, most of the numerical and theoretical models are developed for non-magnetic materials. In this dissertation, theoretical and computational approaches are proposed to solve eddy current problems for both ferromagnetic and non-ferromagnetic conductors.
By applying the volume equivalence theorem, the effects of a flaw in the conductor are represented by an equivalent electric current dipole density and a magnetic dipole density. Volume integral equations are then derived for multi-layered structures. The general dyadic Green's kernels dedicated to a layered geometry are derived here based on a decomposition of the electromagnetic field into a transverse electric scalar potential and a transverse magnetic scalar potential. The dyadic Green's kernels for either planar-layered or cylindrical-layered structures can be derived from the corresponding scalar kernels.
The dedicated dyadic Green's kernels for a conductive half-space and slab are derived and discussed. Naturally, the method of moments (MoM) is used to obtain the numerical approximation of the integral equations. The incident field, also known as the unperturbed field, plays a important role in the method of moments and is determined in Chapter 4, 7 and Chapter 8. For better accuracy and calculation efficiency, a simple analytical method for evaluating the hyper-singular element is provided for the matrix component calculation and validated by calculating the radar cross-section (RCS) of dielectric sphere.
Experiments are carried out to obtain the impedance variation of a circular coil probe due to narrow notches in a ferromagnetic steel slabs (440 stainless steel) for comparison with theoretical and computational models. Good agreement has been achieved. The model validation of the non-ferromagnetic conductor has also done by comparing model predictions with existing benchmark experimental data. This numerical model can be used to refine the eddy current probe design and predict the probe signal due to cracks in ferromagnetic metallic parts.
A particular challenge of eddy current inspection in a fast reactor is that the coil position cannot be guided by optical aids due to the presence of liquid sodium during the periods when inspection is possible. However, electromagnetic sensing can be used. in the dissertation, we proposed a novel theoretical electromagnetic model of an eddy current probe with arbitrary orientation…
Subjects/Keywords: Eddy current; Electromagnetic field; Ferromagnetic steel; Method of moment; Nondestructive evaluation; Volume integral equation; Electrical and Electronics; Electromagnetics and Photonics; Engineering
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APA (6th Edition):
Wu, T. (2016). The theory of eddy current nondestructive evaluation by using the volume integral equation method. (Thesis). Iowa State University. Retrieved from https://lib.dr.iastate.edu/etd/16058
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Wu, Tao. “The theory of eddy current nondestructive evaluation by using the volume integral equation method.” 2016. Thesis, Iowa State University. Accessed April 10, 2021.
https://lib.dr.iastate.edu/etd/16058.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Wu, Tao. “The theory of eddy current nondestructive evaluation by using the volume integral equation method.” 2016. Web. 10 Apr 2021.
Vancouver:
Wu T. The theory of eddy current nondestructive evaluation by using the volume integral equation method. [Internet] [Thesis]. Iowa State University; 2016. [cited 2021 Apr 10].
Available from: https://lib.dr.iastate.edu/etd/16058.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Wu T. The theory of eddy current nondestructive evaluation by using the volume integral equation method. [Thesis]. Iowa State University; 2016. Available from: https://lib.dr.iastate.edu/etd/16058
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
University of Illinois – Urbana-Champaign
10.
Banerjee, Debapriya.
Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness.
Degree: PhD, Materials Science & Engineering, 2015, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/89266
► Motivated by the persistent interest in different nanoparticles added to various polymer matrices, the Polymer Reference Interaction Site Model (PRISM) theory is extended and applied…
(more)
▼ Motivated by the persistent interest in different nanoparticles added to various polymer matrices, the Polymer Reference Interaction Site Model (PRISM) theory is extended and applied to study the thermodynamics, statistical structure, and miscibility of diverse polymer nanocomposites (PNCs). Under chemistry-matched conditions and in the absence of interfacial attractions between a spherically smooth nanoparticle and the matrix fluid, the polymer-induced depletion attraction is dominant and induces entropic phase separation. The depletion attraction can be potentially reduced by modifying the nanoparticle surface topography as recently observed in experiments. Two types of surface-modified nanoparticles have been considered in this thesis – (1) spheres with ordered roughness on the surface and (2) soft polymeric nanoparticles with surface fluctuations and fuzziness. Monte Carlo integration and other computational techniques have been developed to compute the effective interactions between such particles. The morphologically diverse particles introduce additional length scales, making the physics non-monotonic, subtle, and rich. The common advantage with using either of the particles is reduced contact aggregation and enhanced miscibility. Optimal surface corrugation and/or particle softness allow monomer penetration resulting in favourable (entropic) mixing. However, high enough degree of corrugation/softness can also result in destabilization by excluding the polymer from its interior.
Another route of developing new nanocomposites is by tuning the polymer-particle interfacial chemistry. Prior work has established three states of spatial organization, namely depletion, steric stabilization and bridging, depending upon the effective interfacial attraction strengths. Introducing polymer chemical heterogeneity via the use of AB copolymers offers additional control over the equilibrium structure. Specifically, two types of copolymers are considered – (1) random copolymers (RCP) of disordered sequence and (2) ordered, alternating multiblock copolymers (MBCP). Quantum chemical calculations are combined with the polymer liquid state theory to predict structure and miscibility. The chain connectivity, monomer sequence, copolymer composition and differential wettability results in unique frustration in the system leading to novel states of organization of the polymer around the nanoparticles. In the context of strongly attractive nanoscopic fullerenes, this results in improved miscibility relative to the corresponding homopolymers. For some of the systems studied, maximum dispersion is predicted at an intermediate copolymer composition due to packing correlations and differential wetting effects with favourable comparison to experiments.
Advisors/Committee Members: Schweizer, Kenneth S (advisor), Schweizer, Kenneth S (Committee Chair), Braun, Paul V (committee member), Ferguson, Andrew L (committee member), Schroeder, Charles M (committee member).
Subjects/Keywords: Polymer Nanocomposites; Integral Equation Theory
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APA ·
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Manager
APA (6th Edition):
Banerjee, D. (2015). Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/89266
Chicago Manual of Style (16th Edition):
Banerjee, Debapriya. “Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 10, 2021.
http://hdl.handle.net/2142/89266.
MLA Handbook (7th Edition):
Banerjee, Debapriya. “Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness.” 2015. Web. 10 Apr 2021.
Vancouver:
Banerjee D. Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/2142/89266.
Council of Science Editors:
Banerjee D. Statistical mechanical theory of equilibrium structure and miscibility of polymer nanocomposites: effects of polymer chemical heterogeneity and architecture, and nanoparticle surface corrugation and softness. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/89266
11.
NG TIONG HUAT.
Electromagnetic simulations in frequency and time domain using adaptive integral method.
Degree: 2008, National University of Singapore
URL: http://scholarbank.nus.edu.sg/handle/10635/15966
Subjects/Keywords: Adaptive integral method; fast computational method; fast Fourier transform; time domain integral equation; combined field integral equation; MPI
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APA (6th Edition):
HUAT, N. T. (2008). Electromagnetic simulations in frequency and time domain using adaptive integral method. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/15966
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
HUAT, NG TIONG. “Electromagnetic simulations in frequency and time domain using adaptive integral method.” 2008. Thesis, National University of Singapore. Accessed April 10, 2021.
http://scholarbank.nus.edu.sg/handle/10635/15966.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
HUAT, NG TIONG. “Electromagnetic simulations in frequency and time domain using adaptive integral method.” 2008. Web. 10 Apr 2021.
Vancouver:
HUAT NT. Electromagnetic simulations in frequency and time domain using adaptive integral method. [Internet] [Thesis]. National University of Singapore; 2008. [cited 2021 Apr 10].
Available from: http://scholarbank.nus.edu.sg/handle/10635/15966.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
HUAT NT. Electromagnetic simulations in frequency and time domain using adaptive integral method. [Thesis]. National University of Singapore; 2008. Available from: http://scholarbank.nus.edu.sg/handle/10635/15966
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Brunel University
12.
Fresneda-Portillo, Carlos.
Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media.
Degree: PhD, 2016, Brunel University
URL: http://bura.brunel.ac.uk/handle/2438/14521
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715863
► The importance of the Stokes system stems from the fact that the Stokes system is the stationary linearised form of the Navier Stokes system [Te01,…
(more)
▼ The importance of the Stokes system stems from the fact that the Stokes system is the stationary linearised form of the Navier Stokes system [Te01, Chapter1]. This linearisation is allowed when neglecting the inertial terms at a low Reinolds numbers Re << 1. The Stokes system essentially models the behaviour of a non - turbulent viscous fluid. The mixed interior boundary value problem related to the compressible Stokes system is reduced to two different BDIES which are equivalent to the original boundary value problem. These boundary-domain integral equation systems (BDIES) can be expressed in terms of surface and volume parametrix-based potential type operators whose properties are also analysed in appropriate Sobolev spaces. The invertibility and Fredholm properties related to the matrix operators that de ne the BDIES are also presented. Furthermore, we also consider the mixed compressible Stokes system with variable viscosity in unbounded domains. An analysis of the similarities and differences with regards to the bounded domain case is presented. Furthermore, we outline the mapping properties of the surface and volume parametrix-based potentials in weighted Sobolev spaces. Equivalence and invertibility results still hold under certain decay conditions on the variable coeffi cient The last part of the thesis refers to the mixed boundary value problem for the stationary heat transfer partial di erential equation with variable coe cient. This BVP is reduced to a system of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs). We use a parametrix different from the one employed by Chkadua, Mikhailov and Natroshvili in the paper [CMN09]. Mapping properties of the potential type integral operators appearing in these equations are presented in appropriate Sobolev spaces. We prove the equivalence between the original BVP and the corresponding BDIE system. The invertibility and Fredholm properties of the boundary-domain integral operators are also analysed in both bounded and unbounded domains.
Subjects/Keywords: 515; Boundry domain integral equation; Variable coefficient; Boundary integral equation
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APA ·
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APA (6th Edition):
Fresneda-Portillo, C. (2016). Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media. (Doctoral Dissertation). Brunel University. Retrieved from http://bura.brunel.ac.uk/handle/2438/14521 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715863
Chicago Manual of Style (16th Edition):
Fresneda-Portillo, Carlos. “Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media.” 2016. Doctoral Dissertation, Brunel University. Accessed April 10, 2021.
http://bura.brunel.ac.uk/handle/2438/14521 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715863.
MLA Handbook (7th Edition):
Fresneda-Portillo, Carlos. “Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media.” 2016. Web. 10 Apr 2021.
Vancouver:
Fresneda-Portillo C. Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media. [Internet] [Doctoral dissertation]. Brunel University; 2016. [cited 2021 Apr 10].
Available from: http://bura.brunel.ac.uk/handle/2438/14521 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715863.
Council of Science Editors:
Fresneda-Portillo C. Boundary-domain integral equation systems for the Stokes system with variable viscosity and diffusion equation in inhomogeneous media. [Doctoral Dissertation]. Brunel University; 2016. Available from: http://bura.brunel.ac.uk/handle/2438/14521 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715863
University of Illinois – Urbana-Champaign
13.
Yan, Su.
Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics.
Degree: MS, 1200, 2012, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/34442
► In computational electromagnetics, the second-kind Fredholm integral equations (IEs) are known to have very fast iterative convergence but rather poor solution accuracy compared with the…
(more)
▼ In computational electromagnetics, the second-kind Fredholm
integral equations (IEs) are known to have very fast iterative convergence but rather poor solution accuracy compared with the first-kind Fredholm
integral equations. The loss of the numerical accuracy is mainly due to the discretization error of the identity operators involved in second-kind IEs. In the past decade, although much effort has been made to improve the numerical accuracy of the second-kind
integral equations, no conclusive understandings and final resolutions are achieved.
In this thesis, the widely used surface
integral equations in computational electromagnetics are first presented along with the discussions of their respective mathematical and numerical properties. The
integral operators involved in these
integral equations are investigated in terms of their mathematical properties and numerical discretization strategies. Based on such discussions and investigations, a numerical scheme is presented to significantly suppress the discretization error of the identity operators by using the Buffa-Christiansen (BC) functions as the testing function, leading to much more accurate solutions to the second-kind
integral equations for smooth objects in both perfect
electric conductor (PEC) and dielectric cases, while maintaining their fast convergence properties. This technique is then generalized for generally shaped objects in both PEC and dielectric cases by using the BC functions as the testing functions, and by handling the near-singularities in the evaluation of the system matrix elements carefully. The extinction theorem is applied for accurate evaluation of the numerical errors in the calculation of scattering problems for generally shaped objects. Several examples are given to investigate and demonstrate the performance of the proposed techniques in the accuracy improvement of the second-kind surface
integral equations in both PEC and dielectric cases. The reasons for the accuracy improvement are explained, and several important conclusive remarks are made.
Advisors/Committee Members: Jin, Jianming (advisor).
Subjects/Keywords: Accuracy analysis; Buffa-Christiansen functions; extinction theorem; first-kind integral equations; identity operator; magnetic-field integral equation; method of weighted residuals; near-singularity extraction; N-Müller integral equations; numerical accuracy; Rayleigh-Ritz scheme; second-kind integral equations; testing scheme.
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APA (6th Edition):
Yan, S. (2012). Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/34442
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Yan, Su. “Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics.” 2012. Thesis, University of Illinois – Urbana-Champaign. Accessed April 10, 2021.
http://hdl.handle.net/2142/34442.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Yan, Su. “Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics.” 2012. Web. 10 Apr 2021.
Vancouver:
Yan S. Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2012. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/2142/34442.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Yan S. Accuracy improvement of the second-kind Fredholm integral equations in computational electromagnetics. [Thesis]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/34442
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
14.
Rožič, Rok.
Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb.
Degree: 2016, Univerza v Mariboru
URL: https://dk.um.si/IzpisGradiva.php?id=58037
;
https://dk.um.si/Dokument.php?id=87996&dn=
;
https://plus.si.cobiss.net/opac7/bib/22190600?lang=sl
► V tej magistrski nalogi obravnavamo teorijo Darbouxjeve integrabilnosti. V prvem poglavju opišemo osnovne pojme komutativne algebre, ki so potrebni za našo študijo. V drugem poglavju…
(more)
▼ V tej magistrski nalogi obravnavamo teorijo Darbouxjeve integrabilnosti. V prvem poglavju opišemo osnovne pojme komutativne algebre, ki so potrebni za našo študijo. V drugem poglavju obravnavamo teorijo Darbouxjeve integrabilnosti za dvodimenzionalne sisteme navadnih diferencialnih enačb. Opišemo obstoj Darbouxjevih prvih integralov in Darbouxjevih integrirajočih množiteljev v odvisnosti od števila invariantnih krivulj ter predstavimo izračun invariantnih krivulj in z uporabo le-teh konstrukcijo Darbouxjevih prvih integralov in integrirajočih množiteljev. Nadalje v tem poglavju s pomočjo opisane teorije Darbouxjeve integrabilnosti poiščemo Darbouxjev prvi integral in integrirajoči množitelj dveh dvodimenzionalnih sistemov četrte stopnje. V tretjem poglavju opišemo Darbouxjevo teorijo za n-dimenzionalne sisteme in v zadnjem poglavju navedemo odprto vprašanje za ravninska polinomska vektorska polja in nekatere uporabnosti Darbouxjeve teorije.
In
this master thesis we review some aspects of the Darboux integrability. In the first chapter we describe some basic notions of commutative algebra, which are needed for our study. In the second chapter we consider the theory of Darboux integrability for two-dimensional systems of ordinary differential equations. We describe the existence of Darboux first integrals and Darboux integrating factors depending on the number of invariant curves and then we present the calculation of invariant curves and using them the construction of Darboux first integrals and Darboux integrating factors. Then, using the described methods we find the Darboux first integral and the Darboux integrating factor for two systems inside of the family of two-dimensional systems of degree four. In the third chapter we describe the Darboux theory for n-dimensional systems and finally, in the last chapter we state an open question for planar polynomial vector fields and some applications of Darboux theory.
Advisors/Committee Members: Romanovskij, Valerij.
Subjects/Keywords: Ideal; prvi integral; vektorsko polje; diferencialna enačba; invariantna krivulja; invariantna površina; Darbouxjev prvi integral; Darbouxjev integrirajoči množitelj.; Ideal; first integral; vector field; differential equation invariant curve; invariant hypersurfaces; Darboux first integral; Darboux integrating factor.; info:eu-repo/classification/udc/517.9(043.2)
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APA ·
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Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Rožič, R. (2016). Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb. (Masters Thesis). Univerza v Mariboru. Retrieved from https://dk.um.si/IzpisGradiva.php?id=58037 ; https://dk.um.si/Dokument.php?id=87996&dn= ; https://plus.si.cobiss.net/opac7/bib/22190600?lang=sl
Chicago Manual of Style (16th Edition):
Rožič, Rok. “Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb.” 2016. Masters Thesis, Univerza v Mariboru. Accessed April 10, 2021.
https://dk.um.si/IzpisGradiva.php?id=58037 ; https://dk.um.si/Dokument.php?id=87996&dn= ; https://plus.si.cobiss.net/opac7/bib/22190600?lang=sl.
MLA Handbook (7th Edition):
Rožič, Rok. “Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb.” 2016. Web. 10 Apr 2021.
Vancouver:
Rožič R. Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb. [Internet] [Masters thesis]. Univerza v Mariboru; 2016. [cited 2021 Apr 10].
Available from: https://dk.um.si/IzpisGradiva.php?id=58037 ; https://dk.um.si/Dokument.php?id=87996&dn= ; https://plus.si.cobiss.net/opac7/bib/22190600?lang=sl.
Council of Science Editors:
Rožič R. Darbouxjeva integrabilnost polinomskih sistemov navadnih diferencialnih enačb. [Masters Thesis]. Univerza v Mariboru; 2016. Available from: https://dk.um.si/IzpisGradiva.php?id=58037 ; https://dk.um.si/Dokument.php?id=87996&dn= ; https://plus.si.cobiss.net/opac7/bib/22190600?lang=sl
Queens University
15.
Gilhuly, Colleen.
The Most Complete Photometric Analysis of 548 CALIFA Galaxies
.
Degree: Physics, Engineering Physics and Astronomy, 2016, Queens University
URL: http://hdl.handle.net/1974/14835
► We present an extensive photometric catalog for 548 CALIFA galaxies observed as of the summer of 2015. CALIFA is currently lacking photometry matching the scale…
(more)
▼ We present an extensive photometric catalog for 548 CALIFA galaxies observed as of the summer of 2015. CALIFA is currently lacking photometry matching the scale and diversity of its spectroscopy; this work is intended to meet all photometric needs for CALIFA galaxies while also identifying best photometric practices for upcoming integral field spectroscopy surveys such as SAMI and MaNGA. This catalog comprises gri surface brightness profiles derived from Sloan Digital Sky Survey (SDSS) imaging, a variety of non-parametric quantities extracted from these pro files, and
parametric models fitted to the i-band pro files (1D) and original galaxy images (2D). To compliment our photometric analysis, we contrast the relative performance of our 1D and 2D modelling approaches. The ability of each measurement to characterize
the global properties of galaxies is quantitatively assessed, in the context of constructing the tightest scaling relations. Where possible, we compare our photometry with existing photometrically or spectroscopically obtained measurements from the literature. Close agreement is found with Walcher et al. (2014), the current source of basic photometry and classifications of CALIFA galaxies, while comparisons with spectroscopically
derived quantities reveals the effect of CALIFA's limited field of view
compared to broadband imaging surveys such as the SDSS. The colour-magnitude diagram, star formation main sequence, and Tully-Fisher relation of CALIFA galaxies are studied, to give a small example of the investigations possible with this rich
catalog. We conclude with a discussion of points of concern for ongoing integral
field spectroscopy surveys and directions for future expansion and exploitation of this work.
Subjects/Keywords: galaxy photometry
;
integral field spectroscopy
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Manager
APA (6th Edition):
Gilhuly, C. (2016). The Most Complete Photometric Analysis of 548 CALIFA Galaxies
. (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/14835
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Gilhuly, Colleen. “The Most Complete Photometric Analysis of 548 CALIFA Galaxies
.” 2016. Thesis, Queens University. Accessed April 10, 2021.
http://hdl.handle.net/1974/14835.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Gilhuly, Colleen. “The Most Complete Photometric Analysis of 548 CALIFA Galaxies
.” 2016. Web. 10 Apr 2021.
Vancouver:
Gilhuly C. The Most Complete Photometric Analysis of 548 CALIFA Galaxies
. [Internet] [Thesis]. Queens University; 2016. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/1974/14835.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Gilhuly C. The Most Complete Photometric Analysis of 548 CALIFA Galaxies
. [Thesis]. Queens University; 2016. Available from: http://hdl.handle.net/1974/14835
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Georgia Tech
16.
Han, Ki Jin.
Electromagnetic modeling of interconnections in three-dimensional integration.
Degree: PhD, Electrical and Computer Engineering, 2009, Georgia Tech
URL: http://hdl.handle.net/1853/29642
► As the convergence of multiple functions in a single electronic device drives current electronic trends, the need for increasing integration density is becoming more emphasized…
(more)
▼ As the convergence of multiple functions in a single electronic device drives current electronic trends, the need for increasing integration density is becoming more emphasized than in the past. To keep up with the industrial need and realize the new system integration law, three-dimensional (3-D) integration called System-on-Package (SoP) is becoming necessary. However, the commercialization of 3-D integration should overcome several technical barriers, one of which is the difficulty for the electrical design of interconnections. The 3-D interconnection design is difficult because of the modeling challenge of electrical coupling from the complicated structures of a large number of interconnections. In addition, mixed-signal design requires broadband modeling, which covers a large frequency spectrum for integrated microsystems. By using currently available methods, the electrical modeling of 3-D interconnections can be a very challenging task.
This dissertation proposes a new method for constructing a broadband model of a large number of 3-D interconnections. The basic idea to address the many interconnections is using modal basis functions that capture electrical effects in interconnections. Since the use of global modal basis functions alleviates the need for discretization process of the interconnection structure, the computational cost is reduced considerably. The resultant interconnection model is a RLGC model that describes the broadband electrical behavior including losses and couplings. The smaller number of basis functions makes the interconnection model simpler, and therefore allows the generation of network parameters at reduced computational cost. Focusing on the modeling of bonding wires in stacked ICs and through-silicon via (TSV) interconnections, this research validates the interconnection modeling approach using several examples from 3-D full-wave EM simulation results.
Advisors/Committee Members: Madhavan Swaminathan (Committee Chair), Andrew E. Peterson (Committee Member), Emmanouil M. Tentzeris (Committee Member), Hao-Min Zhou (Committee Member), Saibal Mukhopadhyay (Committee Member).
Subjects/Keywords: Bonding wires; Through-silicon via (TSV); 3-D integration; Interconnection modeling; Electric field integral equation (EFIE); Cylindrical conduction mode basis function; Interconnects (Integrated circuit technology); Multichip modules (Microelectronics)
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APA (6th Edition):
Han, K. J. (2009). Electromagnetic modeling of interconnections in three-dimensional integration. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/29642
Chicago Manual of Style (16th Edition):
Han, Ki Jin. “Electromagnetic modeling of interconnections in three-dimensional integration.” 2009. Doctoral Dissertation, Georgia Tech. Accessed April 10, 2021.
http://hdl.handle.net/1853/29642.
MLA Handbook (7th Edition):
Han, Ki Jin. “Electromagnetic modeling of interconnections in three-dimensional integration.” 2009. Web. 10 Apr 2021.
Vancouver:
Han KJ. Electromagnetic modeling of interconnections in three-dimensional integration. [Internet] [Doctoral dissertation]. Georgia Tech; 2009. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/1853/29642.
Council of Science Editors:
Han KJ. Electromagnetic modeling of interconnections in three-dimensional integration. [Doctoral Dissertation]. Georgia Tech; 2009. Available from: http://hdl.handle.net/1853/29642
University of Illinois – Urbana-Champaign
17.
Guan, Jian.
Multi-solver schemes for electromagnetic modeling of large and complex objects.
Degree: PhD, Electrical & Computer Engr, 2017, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/98097
► The work in this dissertation primarily focuses on the development of numerical algorithms for electromagnetic modeling of large and complex objects. First, a GPU-accelerated multilevel…
(more)
▼ The work in this dissertation primarily focuses on the development of numerical algorithms for electromagnetic modeling of large and complex objects.
First, a GPU-accelerated multilevel fast multipole algorithm (MLFMA) is presented to improve the efficiency of the traditional MLFMA by taking advantage of GPU hardware advancement. The proposed hierarchical parallelization strategy ensures a high computational throughput for the GPU calculation. The resulting OpenMP-based multi-GPU implementation is capable of solving real-life problems with over one million unknowns with a remarkable speedup. The radar cross sections (RCS) of a few benchmark objects are calculated to demonstrate the accuracy of the solution. The results are compared with those from the CPU-based MLFMA and measurements. The capability and efficiency of the presented method are analyzed through the examples of a sphere, an aircraft, and a missile-like object. Compared with the 8-threaded CPU-based MLFMA, the OpenMP-CUDA-MLFMA method can achieve from 5 to 20 times total speedup.
Second, an efficient and accurate finite element – boundary
integral (FE-BI) method is proposed for solving electromagnetic scattering and radiation problems. A mixed testing scheme, in which the Rao-Wilton-Glisson and the Buffa-Christiansen functions are both employed as the testing functions, is first presented to improve the accuracy of the FE-BI method. An efficient absorbing boundary condition (ABC)-based preconditioner is then proposed to accelerate the convergence of the iterative solution. To further improve the efficiency of the total computation, a GPU-accelerated MLFMA is applied to the iterative solution. The RCSs of several benchmark objects are calculated to demonstrate the numerical accuracy of the solution and also to show that the proposed method not only is free of interior resonance corruption, but also has a better convergence than the conventional FE-BI methods. The capability and efficiency of the proposed method are analyzed through several numerical examples, including a large dielectric coated sphere, a partial human body, and a coated missile-like object. Compared with the 8-threaded CPU-based algorithm, the GPU-accelerated FE-BI-MLFMA algorithm can achieve a total speedup up to 25.5 times.
Third, a multi-solver (MS) scheme based on combined
field integral equation (CFIE) is proposed. In this scheme, an object is decomposed into multiple bodies based on its material property and geometry. To model bodies with complicated materials, the FE-BI method is applied. To model bodies with homogeneous or conducting materials, the method of moments is employed. Specifically, three solvers are integrated in this multi-solver scheme: the FE-BI(CFIE) for inhomogeneous objects, the CFIE for dielectric objects, and the CFIE for conducting objects. A mixed testing scheme that utilizes both the Rao-Wilton-Glisson and the Buffa-Christiansen functions is adopted to obtain a good accuracy of the proposed multi-solver algorithm. In the iterative solution of the…
Advisors/Committee Members: Jin, Jianming (advisor), Jin, Jianming (Committee Chair), Schutt-Aine, Jose E. (committee member), Hirani, Anil N. (committee member), Kloeckner, Andreas (committee member).
Subjects/Keywords: Boundary integral equation; Buffa-Christiansen function; Combined field integral equation (CFIE); Compute unified device architecture (CUDA); Electromagnetic scattering; Finite element method; Finite element-boundary integral (FE-BI); Hybrid parallel programming model; Multi-graphics processing unit (GPU); Message passing interface (MPI); Multilevel fast multipole algorithm; Multi-solver scheme; Open Multi-Processing (OpenMP); Radar cross section; Robin transmission condition; Method of moments (MoM)
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Guan, J. (2017). Multi-solver schemes for electromagnetic modeling of large and complex objects. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/98097
Chicago Manual of Style (16th Edition):
Guan, Jian. “Multi-solver schemes for electromagnetic modeling of large and complex objects.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 10, 2021.
http://hdl.handle.net/2142/98097.
MLA Handbook (7th Edition):
Guan, Jian. “Multi-solver schemes for electromagnetic modeling of large and complex objects.” 2017. Web. 10 Apr 2021.
Vancouver:
Guan J. Multi-solver schemes for electromagnetic modeling of large and complex objects. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/2142/98097.
Council of Science Editors:
Guan J. Multi-solver schemes for electromagnetic modeling of large and complex objects. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/98097
18.
Katiyar, Sanjeev Kumar.
Some generalized integral and series equations involving
special functions; -.
Degree: Mathematics, 2002, Bundelkhand University
URL: http://shodhganga.inflibnet.ac.in/handle/10603/11881
None
Bibliography p.148 -167
Advisors/Committee Members: Dwiwedi, A P.Subjects/Keywords: Integral; series equation
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CSE |
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APA (6th Edition):
Katiyar, S. K. (2002). Some generalized integral and series equations involving
special functions; -. (Thesis). Bundelkhand University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/11881
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Katiyar, Sanjeev Kumar. “Some generalized integral and series equations involving
special functions; -.” 2002. Thesis, Bundelkhand University. Accessed April 10, 2021.
http://shodhganga.inflibnet.ac.in/handle/10603/11881.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Katiyar, Sanjeev Kumar. “Some generalized integral and series equations involving
special functions; -.” 2002. Web. 10 Apr 2021.
Vancouver:
Katiyar SK. Some generalized integral and series equations involving
special functions; -. [Internet] [Thesis]. Bundelkhand University; 2002. [cited 2021 Apr 10].
Available from: http://shodhganga.inflibnet.ac.in/handle/10603/11881.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Katiyar SK. Some generalized integral and series equations involving
special functions; -. [Thesis]. Bundelkhand University; 2002. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/11881
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
University of Manitoba
19.
Sheikh Hosseini Lori, Farhad.
Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects.
Degree: Electrical and Computer Engineering, 2017, University of Manitoba
URL: http://hdl.handle.net/1993/32362
► This thesis presents a novel single source surface electric field integral equation (EFIE) for the full-wave scattering problems by homogeneous dielectric objects and magneto-quasi-static characterization…
(more)
▼ This thesis presents a novel single source surface
electric field integral equation (EFIE) for the full-wave scattering problems by homogeneous dielectric objects and magneto-quasi-static characterization of the multiconductor transmission lines (MTLs) to determine inductance and resistance. Both the low and higher order method of moments (MoM) schemes are developed for numerical solution of this novel
equation. The required theorems and derivations are given in detail. Numerical validations of this
equation are conducted for various formulations such as scalar and vector 2D scattering problems, full-wave 3D scattering problems, and the problems of current flow in the 2D conductors of complex cross-sections. Error controllability of the numerically computed fields confirms that the proposed
equation is rigorous in nature and may be an advantageous alternative to the other known single and double source surface
integral equations (SIEs). The proposed single source
integral equation (SSIE) features only
electric type Green’s functions, which distinguishes it from the previously know SSIE formulations. As such the new
equation can be formulated in the form free of derivatives acting on the kernels. The new SSIE also features only one unknown surface function instead of two unknown functions as featured in the traditional SIEs. Unlike previously known single source surface
integral equations derived through restricting of the single source
field representation with surface equivalence principle, the new
equation is obtained by constraining of the such representation with the volume equivalence principle. As a result, the new
equation features
integral operators that translate the fields from the surface of the scatterer to its volume and then back to its surface, lending it the name of Surface-Volume-Surface
Electric Field Integral Equation (SVS-EFIE).
Advisors/Committee Members: Okhmatovski, Vladimir (Electrical and Computer Engineering) (supervisor), Jeffrey, Ian (Electrical and Computer Engineering).
Subjects/Keywords: Computational Electromagnetic; Single source surface integral Equation
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APA ·
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CSE |
Export
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APA (6th Edition):
Sheikh Hosseini Lori, F. (2017). Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/32362
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Sheikh Hosseini Lori, Farhad. “Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects.” 2017. Thesis, University of Manitoba. Accessed April 10, 2021.
http://hdl.handle.net/1993/32362.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Sheikh Hosseini Lori, Farhad. “Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects.” 2017. Web. 10 Apr 2021.
Vancouver:
Sheikh Hosseini Lori F. Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects. [Internet] [Thesis]. University of Manitoba; 2017. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/1993/32362.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Sheikh Hosseini Lori F. Novel single source integral equation for analysis of electromagnetic scattering by penetrable objects. [Thesis]. University of Manitoba; 2017. Available from: http://hdl.handle.net/1993/32362
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
University of Georgia
20.
Nunley, Laura Michelle.
Geometry of numbers approach to small solutions to the extended Legendre equation.
Degree: 2014, University of Georgia
URL: http://hdl.handle.net/10724/26439
► In this paper, the reader will be introduced to quadratic forms, lattices, and the Legendre Equation. We will extend Legendre’s equation to multiple variables, and…
(more)
▼ In this paper, the reader will be introduced to quadratic forms, lattices, and the Legendre Equation. We will extend Legendre’s equation to multiple variables, and in the cases where n >= 4, attempt to extend Cochrane and Mitchell’s proof
of the existence of solutions. It will be proven that the proof does not hold for more than three variables.
Subjects/Keywords: Quadratic forms; Legendre equation; Integral Lattices
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APA (6th Edition):
Nunley, L. M. (2014). Geometry of numbers approach to small solutions to the extended Legendre equation. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/26439
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Nunley, Laura Michelle. “Geometry of numbers approach to small solutions to the extended Legendre equation.” 2014. Thesis, University of Georgia. Accessed April 10, 2021.
http://hdl.handle.net/10724/26439.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Nunley, Laura Michelle. “Geometry of numbers approach to small solutions to the extended Legendre equation.” 2014. Web. 10 Apr 2021.
Vancouver:
Nunley LM. Geometry of numbers approach to small solutions to the extended Legendre equation. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/10724/26439.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Nunley LM. Geometry of numbers approach to small solutions to the extended Legendre equation. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/26439
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
King Abdullah University of Science and Technology
21.
Uysal, Ismail Enes.
Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures.
Degree: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, 2016, King Abdullah University of Science and Technology
URL: http://hdl.handle.net/10754/621891
► Plasmonic structures are utilized in many applications ranging from bio-medicine to solar energy generation and transfer. Numerical schemes capable of solving equations of classical electrodynamics…
(more)
▼ Plasmonic structures are utilized in many applications ranging from bio-medicine
to solar energy generation and transfer. Numerical schemes capable of solving equations of classical electrodynamics have been the method of choice for characterizing scattering properties of such structures. However, as dimensions of these plasmonic structures reduce to nanometer scale, quantum mechanical effects start to appear. These effects cannot be accurately modeled by available classical numerical methods.
One of these quantum effects is the tunneling, which is observed when two structures
are located within a sub-nanometer distance of each other. At these small distances
electrons “jump" from one structure to another and introduce a path for
electric current
to flow. Classical equations of electrodynamics and the schemes used for solving
them do not account for this additional current path. This limitation can be lifted
by introducing an auxiliary tunnel with material properties obtained using quantum
models and applying a classical solver to the structures connected by this auxiliary
tunnel. Early work on this topic focused on quantum models that are generated using
a simple one-dimensional wave function to find the tunneling probability and assume
a simple Drude model for the permittivity of the tunnel. These tunnel models are
then used together with a classical frequency domain solver.
In this thesis, a time domain surface
integral equation solver for quantum corrected
analysis of transient plasmonic interactions is proposed. This solver has several
advantages: (i) As opposed to frequency domain solvers, it provides results at a broad band of frequencies with a single simulation. (ii) As opposed to differential
equation solvers, it only discretizes surfaces (reducing number of unknowns), enforces
the radiation condition implicitly (increasing the accuracy), and allows for time step
selection independent of spatial discretization (increasing efficiency). The quantum
model of the tunnel is obtained using density functional theory (DFT) computations,
which account for the atomic structure of materials. Accuracy and applicability of
this (quantum corrected) time domain surface
integral equation solver will be shown
by numerical examples.
Advisors/Committee Members: Bagci, Hakan (advisor), Ooi, Boon S. (committee member), Schwingenschlögl, Udo (committee member), Balasubramaniam, Shanker (committee member).
Subjects/Keywords: Plasmonics; Time-domain; Quantum-tunneling; Integral-equation
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APA ·
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APA (6th Edition):
Uysal, I. E. (2016). Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/621891
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Uysal, Ismail Enes. “Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures.” 2016. Thesis, King Abdullah University of Science and Technology. Accessed April 10, 2021.
http://hdl.handle.net/10754/621891.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Uysal, Ismail Enes. “Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures.” 2016. Web. 10 Apr 2021.
Vancouver:
Uysal IE. Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2016. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/10754/621891.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Uysal IE. Time Domain Surface Integral Equation Solvers for Quantum Corrected Electromagnetic Analysis of Plasmonic Nanostructures. [Thesis]. King Abdullah University of Science and Technology; 2016. Available from: http://hdl.handle.net/10754/621891
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
King Abdullah University of Science and Technology
22.
Sayed, Sadeed B.
Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations.
Degree: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, 2018, King Abdullah University of Science and Technology
URL: http://hdl.handle.net/10754/630075
► Simulation tools capable of analyzing electromagnetic (EM) field/wave interactions on complex penetrable scatterers have applications in various areas of engineering ranging from the design of…
(more)
▼ Simulation tools capable of analyzing electromagnetic (EM)
field/wave interactions on complex penetrable scatterers have applications in various areas of engineering ranging from the design of integrated antennas to the subsurface imaging. EM simulation tools operating in the time domain can be formulated to directly solve the Maxwell equations or the
integral equations obtained by enforcing fundamental
field relations or boundary conditions. Time domain
integral equation (TDIE) solvers offer several benefits over differential
equation solvers: They require smaller number discretization elements/sampling points (both in space and time). Despite the advantages, TDIE solvers suffer from increased computational cost, stability issues of the time-marching algorithms, and limited applicability to complex scatterers. This thesis is focused on addressing the last two issues associated with time domain volume
integral equation (TD-VIE) solvers, as the issue of increased computational cost has been addressed by recently developed acceleration methods. More specifically, four new closely-related, but different marching on-in-time (MOT) algorithms are formulated and implemented to solve the time domain
electric and magnetic
field volume
integral equations (TD-EFVIE and TD-MFVIE). The first algorithm solves the TD-EFVIE to analyze EM wave interactions on high-contrast dielectric scatterers. The stability of this MOT scheme is ensured by using two-sided approximate prolate spherical wave (APSW) functions to discretize the time dependence of the unknown current density as well as an extrapolation scheme to restore the causality of matrix system resulting from this discretization. The second MOT scheme solves the TDMFVIE to analyze EM wave interactions on dielectric scatterers. The TD-MFVIE is cast in the form of an ordinary differential
equation (ODE) and the unknown magnetic
field is expanded using spatial basis functions. The time-dependent coefficients of this expansion are found by integrating the resulting ODE system using a linear multistep method. The third method is formulated and implemented to analyze EM wave interactions on scatterers with Kerr nonlinearity. The former scheme integrates in time a coupled of system of the TD-EFVIE and the nonlinear constitutive relation, which is cast in the form of an ODE system, for the expansion coefficients of the
electric field and flux using a linear multistep method. The last method described in this thesis is developed to analyze EM wave interactions on ferrite scatterers.
Advisors/Committee Members: Bagci, Hakan (advisor), Bagci, Hakan (committee member), Ooi, Boon S. (committee member), Samtaney, Ravi (committee member), Andriulli, Francesco P. (committee member).
Subjects/Keywords: Electromagnetic; Transient; Analysis; Integral Equation; Complex; Scatterers
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APA ·
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APA (6th Edition):
Sayed, S. B. (2018). Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/630075
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Sayed, Sadeed B. “Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations.” 2018. Thesis, King Abdullah University of Science and Technology. Accessed April 10, 2021.
http://hdl.handle.net/10754/630075.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Sayed, Sadeed B. “Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations.” 2018. Web. 10 Apr 2021.
Vancouver:
Sayed SB. Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2018. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/10754/630075.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Sayed SB. Transient Electromagnetic Analysis of Complex Penetrable Scatterers using Volume Integral Equations. [Thesis]. King Abdullah University of Science and Technology; 2018. Available from: http://hdl.handle.net/10754/630075
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
23.
Abdulla Beary, K.
Generalized special functions.
Degree: 2007, Kannur University
URL: http://shodhganga.inflibnet.ac.in/handle/10603/2595
► The special functions occurring in applied mathematics such as the binomial, exponential, logarithmic and trigonometric functions, Bessel and Whittaker functions, the error functions and the…
(more)
▼ The special functions occurring in applied
mathematics such as the binomial, exponential, logarithmic and
trigonometric functions, Bessel and Whittaker functions, the error
functions and the classical orthogonal polynomials are all special
cases of the generalized hyper-geometric series: In chapter one,
section one we start with the definition of the generalized hyper
geometric function, this section also deals with the definition and
properties of the G-function – the Hfunction and the H - function.
In section two some of the well known integral transforms such as
the Laplace transform, the Mellin transform, the Hankel transform
and their inverse transforms, the H -transform introduced by Jain
and Sharma, integral transforms with trigonometric kernels, finite
Gegenbaur transforms are discussed. In section three some of the
well known Integral equations occurring in the literature and the
different methods of solution are discussed. In chapter two sixteen
reduction formulae for the H -function have been established.
Special cases include results given by Devra and Cook . Since H
-function is the most general function of one variable, on
specializing the parameters therein new and interesting results can
be obtained In chapter three a number of series of H - functions
are summed. Various methods are used and they are accordingly given
in different sections. Some interesting special cases and
recurrence relations are deduced. Some of these results generalize
the results of Nair. In chapter four two Fourier series for H -
function are derived. Special cases include Fourier series one each
for H-function, G -function and G function. The results established
here are very general in nature from which larger number of known
and new results can be obtained by specializing the parameters of
the H -function. Chapter five contains four differentiation
formulae for the H - function. They generalize recent results
established by Devra and Rathie. Special cases include known and
new formulae for various special functions such as the H –
function, G-function, generalized Wright hypergeometric function,
generalized Wright –Bessel function etc. In chapter six a Mellin
transform of H function is obtained. This result is used to obtain
four Mellin transforms involving the product of two H -functions.
Special cases include the results given by Gupta and Jain, Gupta
and Soni and Rashmi and Jain. In chapter seven an Integral
Transform involving the product of two H - functions with different
arguments is evaluated. Various integral transforms namely Laplace,
Mellin, Hankel, Whittaker and Meijer`s K – transforms of
generalized functions can be deduced from it. Special case include
a result given by Gupta. In chapter eight. four theorems on H -
transforms are established. These theorems are of very general in
nature. They generalize results earlier proved by Nair [6], Jain
[4], Rathie, Saxena, Sharma and Varma. In chapter nine, two
Integral Equations involving H - function in the kernel are
solved.
Appendix p. 239
Advisors/Committee Members: Nambisan, T M Vasudevan.
Subjects/Keywords: Mathematics; Fourier series; Integral Equation; Integral transforms; Special functions
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APA (6th Edition):
Abdulla Beary, K. (2007). Generalized special functions. (Thesis). Kannur University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/2595
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Abdulla Beary, K. “Generalized special functions.” 2007. Thesis, Kannur University. Accessed April 10, 2021.
http://shodhganga.inflibnet.ac.in/handle/10603/2595.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Abdulla Beary, K. “Generalized special functions.” 2007. Web. 10 Apr 2021.
Vancouver:
Abdulla Beary K. Generalized special functions. [Internet] [Thesis]. Kannur University; 2007. [cited 2021 Apr 10].
Available from: http://shodhganga.inflibnet.ac.in/handle/10603/2595.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Abdulla Beary K. Generalized special functions. [Thesis]. Kannur University; 2007. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/2595
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Rutgers University
24.
Kallupalam Balasubramanian, Moulik, 1988-.
Scalar fields and spin-half fields on mildly singular spacetimes.
Degree: PhD, Mathematics, 2015, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/
► A charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric…
(more)
▼ A charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric potential. Morawetz and Strichartz estimates are proved for spherically symmetric scalar waves on such a spacetime. These spacetimes have conical singularities at their centers. As a first step towards understanding the behavior of scalar waves on such spacetimes, a way to reproduce the known fundamental solution to the scalar wave equation on flat two-dimensional cones is found using Sommerfeld’s method. Dirac’s equation for a spin-half field is set up on a charged particle-spacetime. The Dirac Hamiltonian is shown to be essentially self-adjoint on smooth functions with compact support away from the center. The essential spectrum and the continuous spectrum of the Hamiltonian are obtained. Under a certain condition, a neighbourhood of zero is shown to be in the resolvent. The existence of infinitely many eigenvalues is shown.
Advisors/Committee Members: Tahvildar-Zadeh, Shadi (chair), Soffer, Avraham (internal member), Kiessling, Michael (internal member), Strain, Robert (outside member).
Subjects/Keywords: Scalar field theory; Dirac equation
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APA (6th Edition):
Kallupalam Balasubramanian, Moulik, 1. (2015). Scalar fields and spin-half fields on mildly singular spacetimes. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/47452/
Chicago Manual of Style (16th Edition):
Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Doctoral Dissertation, Rutgers University. Accessed April 10, 2021.
https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.
MLA Handbook (7th Edition):
Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Web. 10 Apr 2021.
Vancouver:
Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Apr 10].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.
Council of Science Editors:
Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/
University of Manitoba
25.
Chen, Tao.
Micromachined electrostatic force and vertical field mill ac/dc electric field sensors.
Degree: Electrical and Computer Engineering, 2018, University of Manitoba
URL: http://hdl.handle.net/1993/33461
► This thesis explores several types of micromachined electric field sensors to address the main drawbacks of traditional electric field mills, namely high power consumption, big…
(more)
▼ This thesis explores several types of micromachined
electric field sensors to address the main drawbacks of traditional
electric field mills, namely high power consumption, big size, and the requirement of frequent maintenance. Micromachined devices possessing significantly smaller size, less power to move mechanical parts, and free of rotating parts, therefore avoid the wear and tear of moving elements.
Two types of sensors were designed. One is based on electrostatic force deflection, and another is based on a vertical movement shutter type
field mill. Compared to other micromachined
electric field mill (MEFM) sensors, both types of sensors overcome the issue of grounded shutter displacement under a large
electric field and provide comparable or even higher performance.
Two force deflection actuators were designed and fabricated – SOI membrane and metal ribbon array. Capacitance measurement was applied to both actuators, and both show the ability to measure fields greater than 50 kV/m. When use a laser monitor system to test the SOI membrane, similar sensitivity was achieved. In addition, the ac modulated method was applied to improve the sensitivity of the optical measurement. Providing 118.8 V (peak to peak) ac bias signal on the SOI membrane, sensitivity of 20 V/m was achieved with the ac modulated method.
The vertical movement shutter
field mill is a novel design. It employs bimaterial thermal actuators to provide vertical movement for the grounded shutter. It solves the problem of shutter displaced under the large
field problem in existing micromachined
electric field mills (MEFMs). Three types of bimaterial thermal actuators were modeled: SiO2-Al, SU-8-Al, and Si-Al. Due to the high stress of SiO2, the first attempt was to fabricate a SU-8-Al actuator. However, it was found that SU-8-Al actuator has a permanent deformation issue at high temperature. Then efforts were focused on the Si-Al actuator, and the device was successfully fabricated. The sensor mechanical performance test shows that the shutter movement agree with the simulation at various temperature between 25 – 100 ºC. When drive the thermal actuator by digital hot plate, the measured induced current generated by an alternative
electric filed also agree with the calculation.
Advisors/Committee Members: Shafai, Cyrus (Electrical and Computer Engineering) (supervisor), Rajapakse, Athula (Electrical and Computer Engineering).
Subjects/Keywords: Electric field; electric field measurement; electric field mill; MEFM; MEMS; micromachining
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APA (6th Edition):
Chen, T. (2018). Micromachined electrostatic force and vertical field mill ac/dc electric field sensors. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/33461
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Chen, Tao. “Micromachined electrostatic force and vertical field mill ac/dc electric field sensors.” 2018. Thesis, University of Manitoba. Accessed April 10, 2021.
http://hdl.handle.net/1993/33461.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Chen, Tao. “Micromachined electrostatic force and vertical field mill ac/dc electric field sensors.” 2018. Web. 10 Apr 2021.
Vancouver:
Chen T. Micromachined electrostatic force and vertical field mill ac/dc electric field sensors. [Internet] [Thesis]. University of Manitoba; 2018. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/1993/33461.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Chen T. Micromachined electrostatic force and vertical field mill ac/dc electric field sensors. [Thesis]. University of Manitoba; 2018. Available from: http://hdl.handle.net/1993/33461
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
26.
Ράλλης, Κωνσταντίνος.
Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών.
Degree: 2013, University of Western Macedonia; Πανεπιστήμιο Δυτικής Μακεδονίας
URL: http://hdl.handle.net/10442/hedi/34633
► The aim of this doctoral thesis is to study electromagnetic compatibility problems dealing with field couplings to underground transmission lines, communication systems or electronic devices.…
(more)
▼ The aim of this doctoral thesis is to study electromagnetic compatibility problems dealing with field couplings to underground transmission lines, communication systems or electronic devices. As an overview: (i) we develop expressions for the accurate computation of mutual impedances between two underground conductors of finite length, (ii) we use a modern technique to solve the well-known Pollaczek and Carson formulas for the evaluation of the earth-return impedance for underground and overground conductors, (iii) we present a method for calculating the electromagnetic field generated by a lightning stroke for studying the problem of induced over-voltage on lines and electronic devices both in power and telecommunication systems, (iv) we deal with the computation of the current distribution along a vertical grounding rod. In all cases, our approach is purely electromagnetic with the use of the elementary electric dipoles technique. More specifically: In the first chapter we provide the expressions for the field generated by a vertical or horizontal elementary electric dipole placed in air or in ground. We form the boundary problem of the system dipole and air-ground interface for the calculation of the Hertz vector components generated by the dipole and the calculation of the electromagnetic field. We also provide tables with the cylindrical components of the produced field. In the second chapter we study the problem of the mutual impedance between two underground conductors of finite length and arbitrary position. With the use of the elementary dipoles technique we derive expressions for the accurate calculation of the mutual impedance that have the form of double infinite improper integrals and we evaluate them by using advanced integration algorithms. We then follow an alternative approach which involves the computation of the equivalent Sommerfeld type integrals by using the Discrete Complex Image Method (DCIM). This method allows the transformation of the Sommerfeld integrals to semi-infinite integrals with known analytical solutions. This is possible by approximating the integrand by a sum of complex exponentials. We finally give results of the mutual impedance and carry out comparisons in order to validate our expressions. In the third chapter we deal with the computation of the current distribution along a vertical grounding rod. We derive the mathematical model by applying the elementary dipoles technique and then we use the Method of Moments for solving the electric field integral equation. For the validation of the developed model, we solve the problem with the FEM method by using the software package COMSOL. In the fourth chapter we evaluate the well-known Pollaczek and Carson formulas for the earth-return impedance for underground and overground conductors. The integrals are solved by using again the DCIM method. For the approximation of the integrand with a sum of exponentials we use the Generalized Pencil of Function (GPOF) method (one and two level). The results of the impedance are compared with…
Subjects/Keywords: Κεραυνός; Αμοιβαία αντίσταση; Γειωτής; Ολοκλήρωμα Pollaczek Carson; Στοιχειώδες ηλεκτρικό δίπολο; Υπόγειοι αγωγοί; Ηλεκτρομαγνητικό πεδίο; Επαγωγή; Mutual impedances; Underground conductors; Pollaczek integral; Carson Integral; Electromagnetic field; Lightning stroke; Field couplings; Elementary electric dipole
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APA (6th Edition):
Ράλλης, . . (2013). Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών. (Thesis). University of Western Macedonia; Πανεπιστήμιο Δυτικής Μακεδονίας. Retrieved from http://hdl.handle.net/10442/hedi/34633
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Ράλλης, Κωνσταντίνος. “Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών.” 2013. Thesis, University of Western Macedonia; Πανεπιστήμιο Δυτικής Μακεδονίας. Accessed April 10, 2021.
http://hdl.handle.net/10442/hedi/34633.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Ράλλης, Κωνσταντίνος. “Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών.” 2013. Web. 10 Apr 2021.
Vancouver:
Ράλλης . Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών. [Internet] [Thesis]. University of Western Macedonia; Πανεπιστήμιο Δυτικής Μακεδονίας; 2013. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/10442/hedi/34633.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Ράλλης . Ηλεκτρομαγνητική μελέτη υπόγειων αγωγών. [Thesis]. University of Western Macedonia; Πανεπιστήμιο Δυτικής Μακεδονίας; 2013. Available from: http://hdl.handle.net/10442/hedi/34633
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
University of Waterloo
27.
Dombroski, David.
Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing.
Degree: 2018, University of Waterloo
URL: http://hdl.handle.net/10012/13209
► The use of electromagnetic actuator components typically involves a coil comprised of a stack-packed continuous winding, usually layered, and a core material of soft iron…
(more)
▼ The use of electromagnetic actuator components typically involves a coil comprised of a stack-packed continuous winding, usually layered, and a core material of soft iron or at least a solenoid, similarly constructed, simply with an air core. These are used widely across, but not limited to, several industries such as automotive, aerospace, medical, and various electronics. Their application to additive manufacturing (AM), and in particular to improvement of catchment efficiency, is a somewhat newly ventured avenue and the use of permanent magnets in their place to simulate their presence is of similar vein.
The objective of this thesis is to introduce a novel but constructive approach to implement catchment efficiency improvement with regard to ferromagnetic particles by increasing their density in proximity to the melt pool through introduction of a magnetic (or electromagnetic) field. This field acts to produce a lensing or concentric constriction of the particle stream above, and as its contents near and enter the AM build zone. The particle dynamics and stream studied have a purely vertical initial velocity and steady flow rate. Not discussed are melt pool effects from the introduced magnetic field, or angled AM particle streams.
Four analytical methods to determine the magnetic (B) field either on or off the axis of a solenoid are first studied, then narrowed to two to verify Matlab programming from an established benchmark. A finite element (FEA) model is constructed to provide simulations and a soft iron particle is introduced to further determine validity of Matlab programming for both air core and iron core constructs. A similar process uses permanent magnets in place of a coil. A parametric sweep in the FEA software generates force data for post-processing in Matlab to produce particle displacement plots using differential equations to complete this technique.
The aforementioned simulation process serves as confirmation of particle path diversion and additional experimental validation is proposed. The experiments would substantiate particulate path diversions in the presence of the permanent magnet configuration, substituted for a coil configuration, to confirm the simulated construct to be authentic regarding its required particulate force effects.
Subjects/Keywords: Additive Manufacturing; air core solenoid; application of ode 45 differential equation; catchment efficiency; catchment efficiency improvement; electromagnetic actuator; electromagnetic field; electromagnetic force; elliptic integrals; ferromagnetic particle; iron core solenoid; iron particle; magnetic field; magnetic field spatial derivatives; parametric sweep; permanent magnets; summation and elliptic integral proofing
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APA (6th Edition):
Dombroski, D. (2018). Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/13209
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Dombroski, David. “Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing.” 2018. Thesis, University of Waterloo. Accessed April 10, 2021.
http://hdl.handle.net/10012/13209.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Dombroski, David. “Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing.” 2018. Web. 10 Apr 2021.
Vancouver:
Dombroski D. Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing. [Internet] [Thesis]. University of Waterloo; 2018. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/10012/13209.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Dombroski D. Feasibility Study of Ferromagnetic Particulate Path Diversion in Additive Manufacturing. [Thesis]. University of Waterloo; 2018. Available from: http://hdl.handle.net/10012/13209
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
University of Sydney
28.
Richards, Samuel Nathan.
Advancements in multi-object integral-field spectroscopy
.
Degree: 2016, University of Sydney
URL: http://hdl.handle.net/2123/16156
► The motivation of this thesis is not only to unravel the development of multi-object integral-field spectroscopy in optical astronomy, but also to address its observational…
(more)
▼ The motivation of this thesis is not only to unravel the development of multi-object integral-field spectroscopy in optical astronomy, but also to address its observational impact on current and pervading theories of galaxy evolution: in particular, star formation in the local Universe. Classically, spectroscopic observations for galaxy evolution studies in the context of optical astronomy had two modes: (1) multi-object spectroscopy: observe N galaxies with a single aperture on each galaxy, or (2) integral-field spectroscopy: observe a single galaxy with a monolithic 2D array of spatially distributed apertures. Although the first mode is quick to build statistically large samples of galaxies (millions), having a single aperture measurement of fixed size introduces biases when observing galaxies that overfill the aperture (either too close or too large). To reduce the effect of these biases pervading through galaxy evolution models, elaborate schemes have been developed to predict the galaxy properties outside of the aperture using other observational data (so called "aperture corrections"). However, inherent observational biases mean that understanding the errors on the assumptions that go into these aperture corrections is essential to the fidelity of galaxy evolution theory. The second mode of observation is designed to eliminate / minimise these biases by obtaining spatially resolved spectroscopy over the entire galaxy. However, the time and cost taken to build up statistically significant samples of galaxies with current instrumentation limits this mode to observing a few hundred in a survey lifetime. Enter the third mode of observation: multi-object integral-field spectroscopy. This mode takes the N available apertures, and divides them into multiple smaller 2D arrays to obtain integral-field spectroscopy of tens of galaxies at once. A prime instrument of this observational mode is the Sydney-AAO Multi-object Integral-field spectrograph (SAMI), developed at the University of Sydney and the Australian Astronomical Observatory with first light on the 3.9 m Anglo-Australian Telescope (AAT) in July 2011. The SAMI Galaxy Survey started in 2013, and now provides the largest integral-field spectroscopic sample of nearby galaxies across a broad range in stellar mass and environment. These data have for the first time been used to vigorously test the two most popular aperture corrections for calculating a galaxy’s star formation rate. The results of this quantitative and qualitative analysis reveal significant biases that arise in different populations of galaxies. It is then imperative for astronomers to carefully investigate any possible bias due to their target selections. A clear example of where a single aperture misses important information is shown in the SAMI observation of GAMA J141103.98-003242.3, where an intense off-centred star forming region was discovered. This dwarf-galaxy is remarkably similar to the Large Magellanic Cloud and the 30 Doradus system, differing only in its isolation. The detection of a…
Subjects/Keywords: astronomy;
galaxy;
SAMI;
integral;
field;
spectroscopy
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APA (6th Edition):
Richards, S. N. (2016). Advancements in multi-object integral-field spectroscopy
. (Thesis). University of Sydney. Retrieved from http://hdl.handle.net/2123/16156
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Richards, Samuel Nathan. “Advancements in multi-object integral-field spectroscopy
.” 2016. Thesis, University of Sydney. Accessed April 10, 2021.
http://hdl.handle.net/2123/16156.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Richards, Samuel Nathan. “Advancements in multi-object integral-field spectroscopy
.” 2016. Web. 10 Apr 2021.
Vancouver:
Richards SN. Advancements in multi-object integral-field spectroscopy
. [Internet] [Thesis]. University of Sydney; 2016. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/2123/16156.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Richards SN. Advancements in multi-object integral-field spectroscopy
. [Thesis]. University of Sydney; 2016. Available from: http://hdl.handle.net/2123/16156
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Texas A&M University
29.
Abbas, Hasan Tahir T.
Plasmonic Devices in the Terahertz and Optical Frequency Domains.
Degree: PhD, Electrical Engineering, 2017, Texas A&M University
URL: http://hdl.handle.net/1969.1/166027
► We are living in an age where the evolution of semiconductor devices and components is contingent upon their miniaturization and seamless integration with the rest…
(more)
▼ We are living in an age where the evolution of semiconductor devices and
components is contingent upon their miniaturization and seamless integration
with the rest of the circuitry. Unfortunately, it is anticipated that electronic systems will soon approach the theoretical design limits of size and bandwidth, and it poses to be a serious concern for the development of high-speed information technologies. Replacement of electronic pulses that act as communication signals with electromagnetic surface waves offers a very promising solution, particularly in terms of device miniaturization and the heart of this optimism are the plasmonic waves arising due to collective electron oscillations at the surface of a conductor.
Surface plasmon polaritons propagating along a metal-dielectric interface at
optical frequencies have lately been a
subject of immense research interest, mainly due to their reduced wavelength at least by an order of magnitude. Hence, miniaturized wave devices can be created at optical frequencies. Terahertz plasma waves, on the other hand, exist in infinitesimally thin plasma regions formed inside a transistor substrate, and are observed at much lower frequencies in the far-infrared regime. Due to essentially a two-dimensional nature of the plasma region, a much higher wavelength reduction factor that can exceed well beyond 100 is achievable. Furthermore, the boundary conditions due to the transistor terminals along with
electric biasing create unstable resonance conditions that eventually lead to radiation in the terahertz frequency range. Such phenomena provide bright prospects for creating highly miniaturized terahertz devices.
A reliable and efficient electromagnetic (EM) analysis for multilayer geome tries has gained further significance due to the emergence of plasmonic structures in the optical as well as terahertz frequency domains. In this regard,
integral equation (IE) techniques are ideally suited due to their efficient handling of mutilayer structures. Although the presence of thin layers poses a challenge to any EM analysis technique, here the procedure is simplified due to the infinitesimally thin nature of the plasma region, which can be analyzed as a conducting sheet, with the same current flowing on either side of the sheet. Essential to any IE technique is an efficient and systematic formulation of Green functions (GFs) and their subsequent computation. In this dissertation, a transmission-line network based approach is adopted to derive spectral domain GFs for an infinitesimally thin sheet in a layered medium. The associated spatial domain counterparts are then computed through the Sommerfeld integrals (SIs).
The extraordinary electromagnetic properties of plasmonic devices are demonstrated by a presentation of the properties of plasmonic antennas and a super-resolution imaging scheme which is able to resolve objects separated only by a few nanometers.
Advisors/Committee Members: Nevels, Robert D (advisor), Michalski, Krzysztof A (committee member), Su, Chin B (committee member), Zubairy, Muhammad S (committee member).
Subjects/Keywords: Plasmonics; Integral equation; Sommerfeld integral; Super-resolution; Miniaturized antenna; plasma; Terahertz systems
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Manager
APA (6th Edition):
Abbas, H. T. T. (2017). Plasmonic Devices in the Terahertz and Optical Frequency Domains. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/166027
Chicago Manual of Style (16th Edition):
Abbas, Hasan Tahir T. “Plasmonic Devices in the Terahertz and Optical Frequency Domains.” 2017. Doctoral Dissertation, Texas A&M University. Accessed April 10, 2021.
http://hdl.handle.net/1969.1/166027.
MLA Handbook (7th Edition):
Abbas, Hasan Tahir T. “Plasmonic Devices in the Terahertz and Optical Frequency Domains.” 2017. Web. 10 Apr 2021.
Vancouver:
Abbas HTT. Plasmonic Devices in the Terahertz and Optical Frequency Domains. [Internet] [Doctoral dissertation]. Texas A&M University; 2017. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/1969.1/166027.
Council of Science Editors:
Abbas HTT. Plasmonic Devices in the Terahertz and Optical Frequency Domains. [Doctoral Dissertation]. Texas A&M University; 2017. Available from: http://hdl.handle.net/1969.1/166027
30.
Özaydın, Aslı Beste.
Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations.
Degree: Fen Fakültesi, 2018, University of Ankara
URL: http://hdl.handle.net/20.500.12575/69290
► Bu tez altı bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde kesirli integral ve türev operatörleri tanıtılıp bunlarla ilgili özellikler verilmiş, bazı özel fonksiyonlar…
(more)
▼ Bu tez altı bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde kesirli
integral ve türev operatörleri tanıtılıp bunlarla ilgili özellikler verilmiş, bazı özel fonksiyonlar ifade edilmiş ve bu fonksiyonların kesirli
integral ve türev operatörleri ile ilişkilerine değinilmiştir. Ayrıca kesirli
integral ve türev operatörlerinin Laplace dönüşümleri de incelenmiştir. Üçüncü bölümde Riemann-Liouville ve Caputo türevi içeren kesirli diferensiyel denklemler için varlık ve teklik teoremleri ifade edilmiştir. Dördüncü bölümde kesirli basamaktan diferensiyel denklemlerin kararlılık analizi yapılmıştır. İlk olarak denge noktalarının lokal kararlılığı incelenmiştir. Daha sonra lineer olmayan denklemler için Lyapunov yöntemi uygulanarak Mittag-Leffler kararlılık gösterilmiştir. Beşinci bölüm, bu çalışmada elde edilen orijinal sonuçları içermektedir. Bu bölümde Hadamard türevi içeren kesirli diferensiyel denklemler için global çekicilik ele alınmıştır. Lyapunov yöntemi yardımıyla denklemin y=0 denge noktasının global çekici olması için yeter koşullar elde edilmiştir. Son bölümde ise elde edilen sonuçlar özetlenmiştir.
This thesis consists of six chapters. The first chapter is devoted to the introduction. In the second chapter, fractional
integral and derivative operators are introduced, related proporties are given, some specific functions are expressed and the relationship with fractional
integral and derivative operators of these functions are referred. Moreover, Laplace transformations of fractional
integral and derivative operators are investigated. In the third chapter, the existence and uniqueness theorems are expressed for fractional differential equations involving Riemann-Liouville and Caputo fractional derivative. In the fourth chapter, stability analysis of fractional differential equations are performed. Firstly, local stability of equilibrium points are investigated. Later, by applying Lyapunov method, Mittag-Leffler stability is shown for nonlinear equations. The fifth chapter includes the original results of this study. In this chapter, global attractivity is given for fractional differential equations involving Hadamard derivative. Sufficient conditions are obtained for the global attractivity of the equilibrium point y=0 via Lyapunov method. Finally in the last chapter, the results are summarized.
Advisors/Committee Members: Karakoç, Fatma (advisor).
Subjects/Keywords: Kesirli integral operatörü; Kesirli diferensiyel denklem; Fractional integral operator; Fractional differential equation
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APA (6th Edition):
Özaydın, A. B. (2018). Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations. (Masters Thesis). University of Ankara. Retrieved from http://hdl.handle.net/20.500.12575/69290
Chicago Manual of Style (16th Edition):
Özaydın, Aslı Beste. “Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations.” 2018. Masters Thesis, University of Ankara. Accessed April 10, 2021.
http://hdl.handle.net/20.500.12575/69290.
MLA Handbook (7th Edition):
Özaydın, Aslı Beste. “Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations.” 2018. Web. 10 Apr 2021.
Vancouver:
Özaydın AB. Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations. [Internet] [Masters thesis]. University of Ankara; 2018. [cited 2021 Apr 10].
Available from: http://hdl.handle.net/20.500.12575/69290.
Council of Science Editors:
Özaydın AB. Kesirli diferensiyel denklemlerde kararlılık analizi: Stability analysis of fractional differential equations. [Masters Thesis]. University of Ankara; 2018. Available from: http://hdl.handle.net/20.500.12575/69290
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