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Syracuse University
1.
Moon, Hongsik.
PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS.
Degree: PhD, Electrical Engineering and Computer Science, 2016, Syracuse University
URL: https://surface.syr.edu/etd/588
► What is the impact of multicore and associated advanced technologies on computational software for science? Most researchers and students have multicore laptops or desktops…
(more)
▼ What is the impact of multicore and associated advanced technologies on
computational software for science? Most researchers and students have multicore laptops or desktops for their research and they need computing power to run
computational software packages. Computing power was initially derived from Central Processing Unit (CPU) clock speed. That changed when increases in clock speed became constrained by power requirements. Chip manufacturers turned to multicore CPU architectures and associated technological advancements to create the CPUs for the future. Most software applications benefited by the increased computing power the same way that increases in clock speed helped applications run faster. However, for
Computational ElectroMagnetics (CEM) software developers, this change was not an obvious benefit – it appeared to be a detriment. Developers were challenged to find a way to correctly utilize the advancements in hardware so that their codes could benefit. The solution was parallelization and this dissertation details the investigation to address these challenges.
Prior to multicore CPUs, advanced computer technologies were compared with the performance using benchmark software and the metric was FLoting-point Operations Per Seconds (FLOPS) which indicates system performance for scientific applications that make heavy use of floating-point calculations. Is FLOPS an effective metric for parallelized CEM simulation tools on new multicore system? Parallel CEM software needs to be benchmarked not only by FLOPS but also by the performance of other parameters related to type and utilization of the hardware, such as CPU, Random Access Memory (RAM), hard disk, network, etc. The codes need to be optimized for more than just FLOPs and new parameters must be included in benchmarking.
In this dissertation, the parallel CEM software named High Order Basis Based Integral Equation Solver (HOBBIES) is introduced. This code was developed to address the needs of the changing computer hardware platforms in order to provide fast, accurate and efficient solutions to large, complex electromagnetic problems. The research in this dissertation proves that the performance of parallel code is intimately related to the configuration of the computer hardware and can be maximized for different hardware platforms. To benchmark and optimize the performance of parallel CEM software, a variety of large, complex projects are created and executed on a variety of computer platforms. The computer platforms used in this research are detailed in this dissertation. The projects run as benchmarks are also described in detail and results are presented. The parameters that affect parallel CEM software on High Performance Computing Clusters (HPCC) are investigated. This research demonstrates methods to maximize the performance of parallel CEM software code.
Advisors/Committee Members: Tapan K. Sarkar, Yoonseok Lee.
Subjects/Keywords: Computational Electromagnetics; Engineering
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APA (6th Edition):
Moon, H. (2016). PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS. (Doctoral Dissertation). Syracuse University. Retrieved from https://surface.syr.edu/etd/588
Chicago Manual of Style (16th Edition):
Moon, Hongsik. “PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS.” 2016. Doctoral Dissertation, Syracuse University. Accessed February 27, 2021.
https://surface.syr.edu/etd/588.
MLA Handbook (7th Edition):
Moon, Hongsik. “PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS.” 2016. Web. 27 Feb 2021.
Vancouver:
Moon H. PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS. [Internet] [Doctoral dissertation]. Syracuse University; 2016. [cited 2021 Feb 27].
Available from: https://surface.syr.edu/etd/588.
Council of Science Editors:
Moon H. PARAMETERS THAT AFFECT PARALLEL PROCESSING FOR COMPUTATIONAL ELECTROMAGNETIC SIMULATION CODES ON HIGH PERFORMANCE COMPUTING CLUSTERS. [Doctoral Dissertation]. Syracuse University; 2016. Available from: https://surface.syr.edu/etd/588

University of Toronto
2.
Yu, Xue.
FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications.
Degree: 2013, University of Toronto
URL: http://hdl.handle.net/1807/35703
► Graphene is a single atomic layer of graphite and has many extraordinary properties. Many graphene based applications have been proposed in recent years and the…
(more)
▼ Graphene is a single atomic layer of graphite and has many extraordinary properties. Many graphene based applications have been proposed in recent years and the need of a time domain simulation tool for studying graphene based devices emerges. This thesis focuses on developing a simulation framework for graphene based devices using finite-difference time-domain (FDTD) method. Formulation for a perfectly matched layer (PML) for the sub-cell FDTD method for thin dispersive layers has been derived and implemented. Such a PML is useful when thin layers extend to the boundaries of the computational domain. Using the sub-cell PML formulation to model the graphene thin layers significantly reduces the computational cost compared to using the conventional FDTD. The proposed formulation is accompanied by detailed validation and error analysis studies. Several graphene applications are simulated using the new framework and the results show good agreement with the respective analytical models.
MAST
Advisors/Committee Members: Sarris, Costas D., Electrical and Computer Engineering.
Subjects/Keywords: computational electromagnetics; FDTD; 0544
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APA (6th Edition):
Yu, X. (2013). FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/35703
Chicago Manual of Style (16th Edition):
Yu, Xue. “FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications.” 2013. Masters Thesis, University of Toronto. Accessed February 27, 2021.
http://hdl.handle.net/1807/35703.
MLA Handbook (7th Edition):
Yu, Xue. “FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications.” 2013. Web. 27 Feb 2021.
Vancouver:
Yu X. FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications. [Internet] [Masters thesis]. University of Toronto; 2013. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/1807/35703.
Council of Science Editors:
Yu X. FDTD Modeling of Graphene-based RF Devices: Fundamental Aspects and Applications. [Masters Thesis]. University of Toronto; 2013. Available from: http://hdl.handle.net/1807/35703

University of Waterloo
3.
Connor, Dale.
The Discontinuous Galerkin Method Applied to Problems in Electromagnetism.
Degree: 2012, University of Waterloo
URL: http://hdl.handle.net/10012/6627
► The discontinuous Galerkin method (DGM) is applied to a number of problems in computational electromagnetics. This is achieved by obtaining numerical solutions to Maxwell's equations…
(more)
▼ The discontinuous Galerkin method (DGM) is applied to a number of problems in computational electromagnetics. This is achieved by obtaining numerical solutions to Maxwell's equations using the DGM. The aim of these simulations is to highlight the strengths of the method while showing its resilience in handling problems other schemes may not be able to accurately model.
Although no method will ever be the best choice for every problem in electromagnetics, the discontinuous Galerkin method is able to accurately approximate any problem, although the computational costs can make the scheme impractical for some. Like other time domain schemes, the DGM becomes inefficient on large domains where the solution contains small wavelengths.
We demonstrate that all of the different types of boundary conditions in electromagnetic wave propagation can be implemented into the DGM. Reflection and transmission boundaries fit easily into the framework, whereas perfect absorption requires a more advanced technique known as the perfectly matched layer. We begin by simulating mirrors with several different geometries, and analyze how the DGM method performs, and how it offers a more complete evaluation of the behavior in this problem than some other methods.
Since Maxwell's equations describe the macroscopic features of electromagnetics, our simulations are able to capture the wave features of electromagnetics, such as interference and diffraction. We demonstrate this by accurately modelling Young's double slit experiment, a classic experiment which features well understood interference and diffraction phenomena.
We also extend the basic electromagnetic wave propagation simulations to include situations where the waves travel into new media. The formulation of the DGM for Maxwell's equations allows the numerical solutions to accurately resolve the features at the interface of two media as predicted by the Fresnel coefficients. This allows the DGM to model lenses and other sources of refraction.
We predict that the DGM will become an increasingly valuable method for computational electromagnetics because of its wide range of applicability as well as the lack of undesirable features in the numerical solutions. Furthermore, the only limiting factor for applying DGM, its computational cost, will become less influential as computing power continues to increase, allowing us to apply the DGM to an increasing set of applications.
Subjects/Keywords: Discontinuous Galerkin Method; Computational Electromagnetics
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APA ·
Chicago ·
MLA ·
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to Zotero / EndNote / Reference
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APA (6th Edition):
Connor, D. (2012). The Discontinuous Galerkin Method Applied to Problems in Electromagnetism. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/6627
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):
Connor, Dale. “The Discontinuous Galerkin Method Applied to Problems in Electromagnetism.” 2012. Thesis, University of Waterloo. Accessed February 27, 2021.
http://hdl.handle.net/10012/6627.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Connor, Dale. “The Discontinuous Galerkin Method Applied to Problems in Electromagnetism.” 2012. Web. 27 Feb 2021.
Vancouver:
Connor D. The Discontinuous Galerkin Method Applied to Problems in Electromagnetism. [Internet] [Thesis]. University of Waterloo; 2012. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/10012/6627.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Connor D. The Discontinuous Galerkin Method Applied to Problems in Electromagnetism. [Thesis]. University of Waterloo; 2012. Available from: http://hdl.handle.net/10012/6627
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley
4.
Miller, Owen Dennis.
Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design.
Degree: Electrical Engineering & Computer Sciences, 2012, University of California – Berkeley
URL: http://www.escholarship.org/uc/item/5q91q3f2
► Photonic innovation is becoming ever more important in the modern world. Optical systems are dominating shorter and shorter communications distances, LED's are rapidly emerging for…
(more)
▼ Photonic innovation is becoming ever more important in the modern world. Optical systems are dominating shorter and shorter communications distances, LED's are rapidly emerging for a variety of applications, and solar cells show potential to be a mainstream technology in the energy space. The need for novel, energy-efficient photonic and optoelectronic devices will only increase. This work unites fundamental physics and a novel computational inverse design approach towards such innovation. The first half of the dissertation is devoted to the physics of high-efficiency solar cells. As solar cells approach fundamental efficiency limits, their internal physics transforms. Photonic considerations, instead of electronic ones, are the key to reaching the highest voltages and efficiencies. Proper photon management led to Alta Device's recent dramatic increase of the solar cell efficiency record to 28.3%. Moreover, approaching the Shockley-Queisser limit for any solar cell technology will require light extraction to become a part of all future designs.The second half of the dissertation introduces inverse design as a new computational paradigm in photonics. An assortment of techniques (FDTD, FEM, etc.) have enabled quick and accurate simulation of the "forward problem" of finding fields for a given geometry. However, scientists and engineers are typically more interested in the inverse problem: for a desired functionality, what geometry is needed? Answering this question breaks from the emphasis on the forward problem and forges a new path in computational photonics. The framework of shape calculus enables one to quickly find superior, non-intuitive designs. Novel designs for optical cloaking and sub-wavelength solar cell applications are presented.
Subjects/Keywords: Electromagnetics; computational electromagnetics; inverse design; luminescence; Photonic design; photovoltaics; solar cells
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APA ·
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APA (6th Edition):
Miller, O. D. (2012). Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/5q91q3f2
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):
Miller, Owen Dennis. “Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design.” 2012. Thesis, University of California – Berkeley. Accessed February 27, 2021.
http://www.escholarship.org/uc/item/5q91q3f2.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Miller, Owen Dennis. “Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design.” 2012. Web. 27 Feb 2021.
Vancouver:
Miller OD. Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design. [Internet] [Thesis]. University of California – Berkeley; 2012. [cited 2021 Feb 27].
Available from: http://www.escholarship.org/uc/item/5q91q3f2.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Miller OD. Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design. [Thesis]. University of California – Berkeley; 2012. Available from: http://www.escholarship.org/uc/item/5q91q3f2
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
5.
Varis, Karri.
Computational Methods for Finite Thickness Photonic Crystals.
Degree: 2005, Helsinki University of Technology
URL: http://lib.tkk.fi/Diss/2005/isbn951227938X/
► We develop a computational algorithm for finite thickness photonic crystals and apply it to photonic crystal slabs and artificial opals. The algorithm is not limited…
(more)
▼ We develop a
computational algorithm for finite thickness photonic crystals and apply it to photonic crystal slabs and artificial opals. The algorithm is not limited to solving only photonic crystals but can be applied to any electromagnetic problem, which is periodic in a plane and has a finite thickness in the perpendicular direction. An application in cylindrical coordinates is also presented. The method is based on the diagonalized form of Maxwell's equations, in which one spatial direction is distinguished and isolated. We show that this formulation is especially suitable for problems, which are periodic along two and non-periodic along the third axis. The fields are expanded in a combination of several bases, planewaves in the transversal plane, finite differences and eigenvectors in the perpendicular direction. The method is applied to both eigenmode and excitation problems. Furthermore, we develop an efficient scheme for computing the reflection of arbitrarily shaped and polarised beams from the surface of a periodic media. A great emphasis is laid on accuracy and efficiency. The resulting equations are solved using iterative techniques together with problem adapted, operator level preconditioners. Finally, we compare the computations to measurement results obtained from artificial opals.
Advisors/Committee Members: Helsinki University of Technology, Department of Electrical and Communications Engineering, Optoelectronics laboratory.
Subjects/Keywords: photonic crystals; computational electromagnetics; synthetic opals
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Varis, K. (2005). Computational Methods for Finite Thickness Photonic Crystals. (Thesis). Helsinki University of Technology. Retrieved from http://lib.tkk.fi/Diss/2005/isbn951227938X/
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):
Varis, Karri. “Computational Methods for Finite Thickness Photonic Crystals.” 2005. Thesis, Helsinki University of Technology. Accessed February 27, 2021.
http://lib.tkk.fi/Diss/2005/isbn951227938X/.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Varis, Karri. “Computational Methods for Finite Thickness Photonic Crystals.” 2005. Web. 27 Feb 2021.
Vancouver:
Varis K. Computational Methods for Finite Thickness Photonic Crystals. [Internet] [Thesis]. Helsinki University of Technology; 2005. [cited 2021 Feb 27].
Available from: http://lib.tkk.fi/Diss/2005/isbn951227938X/.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Varis K. Computational Methods for Finite Thickness Photonic Crystals. [Thesis]. Helsinki University of Technology; 2005. Available from: http://lib.tkk.fi/Diss/2005/isbn951227938X/
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Manitoba
6.
Shafieipour, Mohammad.
Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method.
Degree: Electrical and Computer Engineering, 2014, University of Manitoba
URL: http://hdl.handle.net/1993/31181
► This dissertation is about efficient computation of the electromagnetic fields with the locally corrected Nyström (LCN) method as a point-based boundary element method (BEM). The…
(more)
▼ This dissertation is about efficient computation of the electromagnetic fields with the locally corrected Nyström (LCN) method as a point-based boundary element method (BEM). The concept of surface integral equations is discussed and the electric field integral equation (EFIE) is derived from the Maxwell’s equations.
Due to its point-based nature, the LCN discretization of the EFIE has some advantages over discretizing the EFIE by the method-of-moments (MoM) which is an element-based BEM. On the other hand, due to maturity of the MoM, a large body of work is available to resolve the numerical issues arising in MoM while there has been less work related to the relatively new LCN. To combine the benefits of the LCN method and the classical Rao-Wilton-Glisson MoM, equivalence between these BEMs are established and their exact relationships are derived. Both the vector-potential EFIE and the mixed-potential EFIE are covered.
Various aspects of achieving HO convergence to the correct answer using high-order (HO) LCN method are discussed. In particular, the patch size limitation, predicting the optimal degrees of freedom, and the effect of dynamic range in the solution are discussed both analytically and numerically to provide concrete motivations towards HO LCN.
The benefits of an HO BEM can not be realized unless an HO geometry representation is used in conjunction with the BEM. Non-uniform rational b-spline (NURBS) surfaces are the most widely adopted HO geometry modelling technique in various disciplines due to their many advantages. However, a typical mesh created out of NURBS surfaces contain both triangular and quadrilateral elements while formulating LCN based on Gaussian quadrature rules on triangular elements have limitations. As a result, the LCN community has mostly adopted LCN based on curvilinear quadrilateral modelling of the geometry. A new class of Newton-Cotes quadrature rules for triangles is proposed to facilitate incorporating NURBS surfaces into the HO LCN.
Advisors/Committee Members: Okhmatovski,Vladimir (ECE, University of Manitoba) (supervisor), LoVetri, Joe (ECE, University of Manitoba) Wang, Bing-Chen (Department of Mechanical Engineering, University of Manitoba) Gedney, Stephen (ECE, University of Colorado) (examiningcommittee).
Subjects/Keywords: Computational Electromagnetics; Locally Corrected Nystrom (LCN) Method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shafieipour, M. (2014). Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method. (Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/31181
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):
Shafieipour, Mohammad. “Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method.” 2014. Thesis, University of Manitoba. Accessed February 27, 2021.
http://hdl.handle.net/1993/31181.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Shafieipour, Mohammad. “Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method.” 2014. Web. 27 Feb 2021.
Vancouver:
Shafieipour M. Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method. [Internet] [Thesis]. University of Manitoba; 2014. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/1993/31181.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Shafieipour M. Efficient Error-Controllable High-Order Electromagnetic Modelling of Scattering on Electrically Large Targets with the Locally Corrected Nyström Method. [Thesis]. University of Manitoba; 2014. Available from: http://hdl.handle.net/1993/31181
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology
7.
Zimmerling, J.T. (author).
Modeling of wave propagation in open domains: A Krylov subspace approach.
Degree: 2014, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:aea44c4e-2658-474d-b9ea-c046066ac881
► Simulating electromagnetic or acoustic wave propagation in complex open structures is extremely important in many areas of science and engineering. In a wide range of…
(more)
▼ Simulating electromagnetic or acoustic wave propagation in complex open structures is extremely important in many areas of science and engineering. In a wide range of applications, ranging from photonics and plasmonics to seismic exploration, efficient wave field solvers are required in various design and optimization frameworks. In this thesis, a Krylov subspace projection methodology is presented to efficiently solve wave propagation problems on unbounded domains. To model the extension of the computational domain to infinity, an optimal complex scaling method is introduced. Traditionally, complex scaling has been used to simulate open quantum systems. Here, an optimized complex scaling method is implemented that allows us to simulate wave propagation on unbounded domains provided we compute the propagating waves via a stability-corrected wave function. In our Krylov subspace framework, this wave function is approximated by polynomial or rational functions, which are obtained via Krylov subspace projection. We show that the field approximations are actually expansions in terms of approximate open resonance modes of the system and we present a novel and highly efficient Krylov subspace implementation for media exhibiting second-order relaxation effects. Numerical examples for one-, two-, and three-dimensional problems illustrate the performance of the method and show that our Krylov resonance expansions significantly outperform conventional solution methods.
Microelectronics, Circuits and Systems
Electrical Engineering
Electrical Engineering, Mathematics and Computer Science
Advisors/Committee Members: Remis, R.F. (mentor).
Subjects/Keywords: Computational Electromagnetics; Krylov subspace; model order reduction
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zimmerling, J. T. (. (2014). Modeling of wave propagation in open domains: A Krylov subspace approach. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:aea44c4e-2658-474d-b9ea-c046066ac881
Chicago Manual of Style (16th Edition):
Zimmerling, J T (author). “Modeling of wave propagation in open domains: A Krylov subspace approach.” 2014. Masters Thesis, Delft University of Technology. Accessed February 27, 2021.
http://resolver.tudelft.nl/uuid:aea44c4e-2658-474d-b9ea-c046066ac881.
MLA Handbook (7th Edition):
Zimmerling, J T (author). “Modeling of wave propagation in open domains: A Krylov subspace approach.” 2014. Web. 27 Feb 2021.
Vancouver:
Zimmerling JT(. Modeling of wave propagation in open domains: A Krylov subspace approach. [Internet] [Masters thesis]. Delft University of Technology; 2014. [cited 2021 Feb 27].
Available from: http://resolver.tudelft.nl/uuid:aea44c4e-2658-474d-b9ea-c046066ac881.
Council of Science Editors:
Zimmerling JT(. Modeling of wave propagation in open domains: A Krylov subspace approach. [Masters Thesis]. Delft University of Technology; 2014. Available from: http://resolver.tudelft.nl/uuid:aea44c4e-2658-474d-b9ea-c046066ac881

Delft University of Technology
8.
Bensdorp, S. (author).
Comparative study of light trapping strategies in thin film solar cells.
Degree: 2011, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:f98c3774-9246-4093-bab6-ae6d532e4b53
► In this thesis we perform a in-depth comparison study between different geometri- cal possibilities for solar cells to find an optimal design. Basic numerical experiments…
(more)
▼ In this thesis we perform a in-depth comparison study between different geometri- cal possibilities for solar cells to find an optimal design. Basic numerical experiments on the essential parts of the improve- ments in the geometry were performed separately to obtain an indication about increasing efficiency for 2D configurations. Our research has a strong focus on the inclusion of metallic and dielectric nanoparticles to enhance absorption efficiency.
Laboratory of Electromagnetic Research
Telecommunications
Electrical Engineering, Mathematics and Computer Science
Advisors/Committee Members: Budko, N.V. (mentor).
Subjects/Keywords: thin film solar cell; computational electromagnetics
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APA ·
Chicago ·
MLA ·
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Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Bensdorp, S. (. (2011). Comparative study of light trapping strategies in thin film solar cells. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:f98c3774-9246-4093-bab6-ae6d532e4b53
Chicago Manual of Style (16th Edition):
Bensdorp, S (author). “Comparative study of light trapping strategies in thin film solar cells.” 2011. Masters Thesis, Delft University of Technology. Accessed February 27, 2021.
http://resolver.tudelft.nl/uuid:f98c3774-9246-4093-bab6-ae6d532e4b53.
MLA Handbook (7th Edition):
Bensdorp, S (author). “Comparative study of light trapping strategies in thin film solar cells.” 2011. Web. 27 Feb 2021.
Vancouver:
Bensdorp S(. Comparative study of light trapping strategies in thin film solar cells. [Internet] [Masters thesis]. Delft University of Technology; 2011. [cited 2021 Feb 27].
Available from: http://resolver.tudelft.nl/uuid:f98c3774-9246-4093-bab6-ae6d532e4b53.
Council of Science Editors:
Bensdorp S(. Comparative study of light trapping strategies in thin film solar cells. [Masters Thesis]. Delft University of Technology; 2011. Available from: http://resolver.tudelft.nl/uuid:f98c3774-9246-4093-bab6-ae6d532e4b53

University of Victoria
9.
Du, Xuan.
Mode-Matching Analysis of Whispering-Gallery-Mode Cavities.
Degree: Department of Electrical and Computer Engineering, 2013, University of Victoria
URL: http://hdl.handle.net/1828/5113
► This thesis presents a full-vectorial mode matching method for whispering gallery microcavity analysis. With this technique, optical properties such as resonance wavelength, quality factor and…
(more)
▼ This thesis presents a full-vectorial mode matching method for whispering gallery microcavity analysis. With this technique, optical properties such as resonance wavelength, quality factor and electromagnetic field distribution of an arbitrarily shaped microcavity can be computed with high accuracy. To illustrate this, a mode matching analysis that involves a single propagating whispering gallery mode is performed on a microtoroid in the presence of individual nonplasmonic nanoparticle on its surface. This method is also extended to the analysis of cavity adsorbed by a plasmonic
nanoparticle at a wavelength close to plasmon resonance where the resulting field distortion invalidates other approaches. The simulation demonstrates high efficiency and is in close agreement with experimental measurements reported in previous work. Furthermore, we extend our mode matching analysis to the case where multiple whispering gallery modes are involved in the course of light propagation. The new formalism is performed on a cavity-waveguide coupling system to investigate the light delivery from a tapered optical waveguide to a microcavity at high precision. A novel hybrid integration scheme to implement an ultra-high quality factor microcavity on a silicon-on-insulator platform is proposed based on the related modelling results.
Advisors/Committee Members: Lu, Tao (supervisor).
Subjects/Keywords: Micro-optical devices; resonators; Detection; computational electromagnetics
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APA (6th Edition):
Du, X. (2013). Mode-Matching Analysis of Whispering-Gallery-Mode Cavities. (Masters Thesis). University of Victoria. Retrieved from http://hdl.handle.net/1828/5113
Chicago Manual of Style (16th Edition):
Du, Xuan. “Mode-Matching Analysis of Whispering-Gallery-Mode Cavities.” 2013. Masters Thesis, University of Victoria. Accessed February 27, 2021.
http://hdl.handle.net/1828/5113.
MLA Handbook (7th Edition):
Du, Xuan. “Mode-Matching Analysis of Whispering-Gallery-Mode Cavities.” 2013. Web. 27 Feb 2021.
Vancouver:
Du X. Mode-Matching Analysis of Whispering-Gallery-Mode Cavities. [Internet] [Masters thesis]. University of Victoria; 2013. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/1828/5113.
Council of Science Editors:
Du X. Mode-Matching Analysis of Whispering-Gallery-Mode Cavities. [Masters Thesis]. University of Victoria; 2013. Available from: http://hdl.handle.net/1828/5113

Michigan State University
10.
Hughey, Stephen Michael.
Efficient parallelization of non-uniform fast multipole algorithms.
Degree: 2018, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:16396
► Thesis Ph. D. Michigan State University. Electrical and Computer Engineering ; Computational Mathematics, Science, and Engineering 2018
Many applications of the N-body problem today involve…
(more)
▼ Thesis Ph. D. Michigan State University. Electrical and Computer Engineering ; Computational Mathematics, Science, and Engineering 2018
Many applications of the N-body problem today involve distributions of bodies that are (i) very large and (ii) highly non-uniform. A variety of fast multipole algorithms have been devised to reduce the cost from 𝓞(N2) to 𝓞(N log N) or 𝓞(N) for oscillatory and non-oscillatory problems, respectively. The issue of non-uniformity, however, presents significant challenges in parallelization, requiring a much more nuanced approach. Compounding this challenge, oscillatory N-body problems arising from wave physics (electromagnetics, acoustics, etc.) are burdened with capturing both phase and amplitude information as opposed to just the amplitude; non-uniformity even further complicates things. As a result, the algorithm and underlying data structures become extremely complicated, and parallelization becomes quite difficult.This thesis aims to develop novel parallel fast multipole methods for both oscillatory and non-oscillatory problems that (i) are controllably accurate to arbitrary precision, (ii) are capable of efficiently handling highly non-uniform distributions, and (iii) scale well up to extremely large problem sizes and numbers of CPU cores. The accelerated Cartesian expansion (ACE) method and wideband multilevel fast multipole algorithm (MLFMA) are modified to accurately and efficiently accommodate non-uniform, and in the case of MLFMA extremely large, distributions in parallel. Several parallel algorithms for efficiently building the distributed non-uniform tree data structures are developed. Effective, novel algorithms are introduced to reduce load imbalances arising from non-uniformity and certain idiosyncrasies of the parallel wideband MLFMA which hamper scalability. The algorithms presented here meet each of the stated goals, enabling computations involving several hundred million degrees of freedom on 2048 cores for an electromagnetics problem and several billion particles on 16,384 cores for non-oscillatory problems.
Description based on online resource;
Advisors/Committee Members: Balasubramaniam, Shanker, Aktulga, Hasan M, Rothwell, Edward J, Chahal, Prem J, Wei, Guowei.
Subjects/Keywords: Parallel algorithms; Computational physics; Electromagnetics; Electrical engineering
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Hughey, S. M. (2018). Efficient parallelization of non-uniform fast multipole algorithms. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:16396
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):
Hughey, Stephen Michael. “Efficient parallelization of non-uniform fast multipole algorithms.” 2018. Thesis, Michigan State University. Accessed February 27, 2021.
http://etd.lib.msu.edu/islandora/object/etd:16396.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Hughey, Stephen Michael. “Efficient parallelization of non-uniform fast multipole algorithms.” 2018. Web. 27 Feb 2021.
Vancouver:
Hughey SM. Efficient parallelization of non-uniform fast multipole algorithms. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Feb 27].
Available from: http://etd.lib.msu.edu/islandora/object/etd:16396.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Hughey SM. Efficient parallelization of non-uniform fast multipole algorithms. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:16396
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Urbana-Champaign
11.
Liu, Aiyin.
A computational electromagnetic framework for waveguide quantum electrodynamics.
Degree: MS, Electrical & Computer Engr, 2016, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/95487
► In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to…
(more)
▼ In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory.
The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.
Advisors/Committee Members: Chew, Weng C (advisor).
Subjects/Keywords: Computational Electromagnetics; Waveguide Quantumelectrodynamics; Dyadic Green's Function
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APA ·
Chicago ·
MLA ·
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CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Liu, A. (2016). A computational electromagnetic framework for waveguide quantum electrodynamics. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/95487
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):
Liu, Aiyin. “A computational electromagnetic framework for waveguide quantum electrodynamics.” 2016. Thesis, University of Illinois – Urbana-Champaign. Accessed February 27, 2021.
http://hdl.handle.net/2142/95487.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Liu, Aiyin. “A computational electromagnetic framework for waveguide quantum electrodynamics.” 2016. Web. 27 Feb 2021.
Vancouver:
Liu A. A computational electromagnetic framework for waveguide quantum electrodynamics. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2016. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/2142/95487.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Liu A. A computational electromagnetic framework for waveguide quantum electrodynamics. [Thesis]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/95487
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Syracuse University
12.
Rautio, Brian J.
The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics.
Degree: PhD, Electrical Engineering and Computer Science, 2014, Syracuse University
URL: https://surface.syr.edu/etd/167
► Electromagnetic (EM) solvers are widely used within computer-aided design (CAD) to improve and ensure success of circuit designs. Unfortunately, due to the complexity of…
(more)
▼ Electromagnetic (EM) solvers are widely used within computer-aided design (CAD) to improve and ensure success of circuit designs. Unfortunately, due to the complexity of Maxwell's equations, they are often computationally expensive. While considerable progress has been made in the realm of speed-enhanced EM solvers, these fast solvers generally achieve their results through methods that introduce additional error components by way of geometric approximations, sparse-matrix approximations, multilevel decomposition of interactions, and more. This work introduces the new method, Unified-FFT (UFFT). A derivative of method of moments, UFFT scales as O(N log N), and achieves fast analysis by the unique combination of FFT-enhanced matrix fill operations (MFO) with FFT-enhanced matrix solve operations (MSO).
In this work, two versions of UFFT are developed, UFFT-Precorrected (UFFT-P) and UFFT-Grid Totalizing (UFFT-GT). UFFT-P uses precorrected FFT for MSO and allows the use of basis functions that do not conform to a regular grid. UFFT-GT uses conjugate gradient FFT for MSO and features the capability of reducing the error of the solution down to machine precision. The main contribution of UFFT-P is a fast solver, which utilizes FFT for both MFO and MSO. It is demonstrated in this work to not only provide simulation results for large problems considerably faster than state of the art commercial tools, but also to be capable of simulating geometries which are too complex for conventional simulation. In UFFT-P these benefits come at the expense of a minor penalty to accuracy.
UFFT-GT contains further contributions as it demonstrates that such a fast solver can be accurate to numerical precision as compared to a full, direct analysis. It is shown to provide even more algorithmic efficiency and faster performance than UFFT-P. UFFT-GT makes an additional contribution in that it is developed not only for planar geometries, but also for the case of multilayered dielectrics and metallization. This functionality is particularly useful for multi-layered printed circuit boards (PCBs) and integrated circuits (ICs). Finally, UFFT-GT contributes a 3D planar solver, which allows for current to be discretized in the z-direction. This allows for similar fast and accurate simulation with the inclusion of some 3D features, such as vias connecting metallization planes.
Advisors/Committee Members: Jay K. Lee, Vladimir I. Okhmatovski.
Subjects/Keywords: Computational Electromagnetics; Computational Methods; Fast Algorithms; Fast Methods; Method of Moments; Numerical Electromagnetics; Engineering
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rautio, B. J. (2014). The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics. (Doctoral Dissertation). Syracuse University. Retrieved from https://surface.syr.edu/etd/167
Chicago Manual of Style (16th Edition):
Rautio, Brian J. “The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics.” 2014. Doctoral Dissertation, Syracuse University. Accessed February 27, 2021.
https://surface.syr.edu/etd/167.
MLA Handbook (7th Edition):
Rautio, Brian J. “The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics.” 2014. Web. 27 Feb 2021.
Vancouver:
Rautio BJ. The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics. [Internet] [Doctoral dissertation]. Syracuse University; 2014. [cited 2021 Feb 27].
Available from: https://surface.syr.edu/etd/167.
Council of Science Editors:
Rautio BJ. The Unified-FFT Method for Fast Solution of Integral Equations as Applied to Shielded-Domain Electromagnetics. [Doctoral Dissertation]. Syracuse University; 2014. Available from: https://surface.syr.edu/etd/167

University of Kentucky
13.
Wilkerson, Owen Tanner.
Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics.
Degree: 2019, University of Kentucky
URL: https://uknowledge.uky.edu/ece_etds/147
► Many systems designed by electrical & computer engineers rely on electromagnetic (EM) signals to transmit, receive, and extract either information or energy. In many cases,…
(more)
▼ Many systems designed by electrical & computer engineers rely on electromagnetic (EM) signals to transmit, receive, and extract either information or energy. In many cases, these systems are large and complex. Their accurate, cost-effective design requires high-fidelity computer modeling of the underlying EM field/material interaction problem in order to find a design with acceptable system performance. This modeling is accomplished by projecting the governing Maxwell equations onto finite dimensional subspaces, which results in a large matrix equation representation (Zx = b) of the EM problem. In the case of integral equation-based formulations of EM problems, the M-by-N system matrix, Z, is generally dense. For this reason, when treating large problems, it is necessary to use compression methods to store and manipulate Z. One such sparse representation is provided by so-called H2 matrices. At low-to-moderate frequencies, H2 matrices provide a controllably accurate data-sparse representation of Z.
The scale at which problems in EM are considered ``large'' is continuously being redefined to be larger. This growth of problem scale is not only happening in EM, but respectively across all other sub-fields of computational science as well. The pursuit of increasingly large problems is unwavering in all these sub-fields, and this drive has long outpaced the rate of advancements in processing and storage capabilities in computing. This has caused computational science communities to now face the computational limitations of standard linear algebraic methods that have been relied upon for decades to run quickly and efficiently on modern computing hardware. This common set of algorithms can only produce reliable results quickly and efficiently for small to mid-sized matrices that fit into the memory of the host computer. Therefore, the drive to pursue larger problems has even began to outpace the reasonable capabilities of these common numerical algorithms; the deterministic numerical linear algebra algorithms that have gotten matrix computation this far have proven to be inadequate for many problems of current interest. This has computational science communities focusing on improvements in their mathematical and software approaches in order to push further advancement. Randomized numerical linear algebra (RandNLA) is an emerging area that both academia and industry believe to be strong candidates to assist in overcoming the limitations faced when solving massive and computationally expensive problems.
This thesis presents results of recent work that uses a random sampling method (RSM) to implement algebraic operations involving multiple H2 matrices. Significantly, this work is done in a manner that is non-invasive to an existing H2 code base for filling and factoring H2 matrices. The work presented thus expands the existing code's capabilities with minimal impact on existing (and well-tested) applications. In addition to this work with randomized H2 algebra, improvements in sparse factorization methods for the…
Subjects/Keywords: Numerical Simulations; Randomized Numerical Linear Algebra; Computational Electromagnetics; Computational Linear Algebra; Computational Engineering; Electrical and Computer Engineering; Electromagnetics and Photonics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wilkerson, O. T. (2019). Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics. (Masters Thesis). University of Kentucky. Retrieved from https://uknowledge.uky.edu/ece_etds/147
Chicago Manual of Style (16th Edition):
Wilkerson, Owen Tanner. “Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics.” 2019. Masters Thesis, University of Kentucky. Accessed February 27, 2021.
https://uknowledge.uky.edu/ece_etds/147.
MLA Handbook (7th Edition):
Wilkerson, Owen Tanner. “Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics.” 2019. Web. 27 Feb 2021.
Vancouver:
Wilkerson OT. Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics. [Internet] [Masters thesis]. University of Kentucky; 2019. [cited 2021 Feb 27].
Available from: https://uknowledge.uky.edu/ece_etds/147.
Council of Science Editors:
Wilkerson OT. Fast, Sparse Matrix Factorization and Matrix Algebra via Random Sampling for Integral Equation Formulations in Electromagnetics. [Masters Thesis]. University of Kentucky; 2019. Available from: https://uknowledge.uky.edu/ece_etds/147

Université Catholique de Louvain
14.
Hubert, Simon.
Numerical analysis of strongly coupled antenna arrays and metasurfaces.
Degree: 2018, Université Catholique de Louvain
URL: http://hdl.handle.net/2078.1/198381
► Nowadays, communication technologies form an essential part of our everyday lives. Antenna systems receive thus more and more attention from both industrial and academic actors.…
(more)
▼ Nowadays, communication technologies form an essential part of our everyday lives. Antenna systems receive thus more and more attention from both industrial and academic actors. These modern technologies are increasingly complex, and require fast prototyping and benchmarking in their design process. Numerical methods play a key role in that perspective, by providing an accurate estimation of the performance at low cost. However, the computation time and memory required by these electromagnetic simulators remain prohibitively high for certain classes of problems. This thesis focuses on the development of specialized numerical methods, with the goal of mitigating their computational cost. The proposed methods are physics-based optimizations of the Method of Moments, which has been ubiquitous in the analysis of planar and metallic antenna structures. Motivated by the recent and exciting advances in the field of metasurface antennas, the main part of the dissertation is dedicated to planar structures. The contributions range from essentially theoretical results, such as mathematical links between well-established antenna theory results; to efficient solvers exploiting the Contour-FFT for the analysis of large planar arbitrary arrays; to the development of miniaturized shielded arrays for localization applications.
(FSA - Sciences de l'ingénieur) – UCL, 2018
Advisors/Committee Members: UCL - SST/ICTM/ELEN - Pôle en ingénierie électrique, UCL - Ecole Polytechnique de Louvain, Craeye, Christophe, Oestges, Claude, Bol, David, Gilles, Thierry, Hum, Sean, Mesa, Francisco.
Subjects/Keywords: Antenna; Metasurface; Electromagnetics; Computational electromagnetics; Antenna array; Numerical method; Algorithm; Simulation; Mutual coupling; Numerical analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Hubert, S. (2018). Numerical analysis of strongly coupled antenna arrays and metasurfaces. (Thesis). Université Catholique de Louvain. Retrieved from http://hdl.handle.net/2078.1/198381
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):
Hubert, Simon. “Numerical analysis of strongly coupled antenna arrays and metasurfaces.” 2018. Thesis, Université Catholique de Louvain. Accessed February 27, 2021.
http://hdl.handle.net/2078.1/198381.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Hubert, Simon. “Numerical analysis of strongly coupled antenna arrays and metasurfaces.” 2018. Web. 27 Feb 2021.
Vancouver:
Hubert S. Numerical analysis of strongly coupled antenna arrays and metasurfaces. [Internet] [Thesis]. Université Catholique de Louvain; 2018. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/2078.1/198381.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Hubert S. Numerical analysis of strongly coupled antenna arrays and metasurfaces. [Thesis]. Université Catholique de Louvain; 2018. Available from: http://hdl.handle.net/2078.1/198381
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Colorado School of Mines
15.
Le, Madison M.
FDTD subgridding with higher order derivative approximations.
Degree: MS(M.S.), Electrical Engineering, 2020, Colorado School of Mines
URL: http://hdl.handle.net/11124/175334
► The finite-difference time-domain (FDTD) method provides numeric solutions to analyze electromagnetic problems. This includes modeling wave propagation through urban environments, wireless communications, radio-frequency identification (RFID),…
(more)
▼ The finite-difference time-domain (FDTD) method provides numeric solutions to analyze electromagnetic problems. This includes modeling wave propagation through urban environments, wireless communications, radio-frequency identification (RFID), and antenna design. As the operating frequency increases, the
computational domains to solve these problems have grown to an unmanageable size. However, FDTD subgridding methods solve this problem without the need for excessive large memory allocation. Subgridding allows for the problem space to be divided into fine grids around articles of interest and then coarse grids elsewhere. Further accuracy improvements can be achieved with a higher order FDTD method in the coarse grids. We define the standard FDTD formulation where traditional 2nd order FDTD is used and the hybrid case when 2nd as well as 4th order FDTD formulations are used. This thesis will focus on the implementation of a new subgridding algorithm designed to simplify the complexities that arise with high frequency designs. This new FDTD subgridding algorithm will be instrumental in the reduction of memory usage and execution time for applications such as antennas, antenna arrays and electromagnetic scattering problems. Subgridding errors for a 1D, 2D, and 3D FDTD simulations are developed and presented. A correlation is seen between the increase of subgridding errors with the increase of contrast ratio (ratio between the fine and course grids) for both standard and hybrid cases. , However, a trend of error reduction when using hybrid formulations over standard formulations is apparent. For example, when increasing the contrast ratio from 1:3 to, 1:9, 1:15, or 1:27, in a 2D case, the corresponding maximum errors in the
computational domain for a field component become 0.61%, 0.69%, 0.70%, and 0.71%, respectively. However, strong improvement is seen when implementing the hybrid method where the corresponding errors becomes 0.42%, 0.18%, 0.16%, and 0.15%, respectively. This shows an improvement of up to 78% when implementing a hybrid over the standard second order FDTD subgridding formulation. Additionally, an improvement of up to 96% in CPU time and up to 88% in memory savings for both the standard and hybrid FDTD simulations are achieved during this research.
Advisors/Committee Members: Elsherbeni, Atef Z. (advisor), Hadi, Mohammed (committee member), Aaen, Peter H. (committee member).
Subjects/Keywords: electromagnetics; higher order; subgridding; finite-difference time-domain; computational electromagnetics; interpolation algorithm
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Le, M. M. (2020). FDTD subgridding with higher order derivative approximations. (Masters Thesis). Colorado School of Mines. Retrieved from http://hdl.handle.net/11124/175334
Chicago Manual of Style (16th Edition):
Le, Madison M. “FDTD subgridding with higher order derivative approximations.” 2020. Masters Thesis, Colorado School of Mines. Accessed February 27, 2021.
http://hdl.handle.net/11124/175334.
MLA Handbook (7th Edition):
Le, Madison M. “FDTD subgridding with higher order derivative approximations.” 2020. Web. 27 Feb 2021.
Vancouver:
Le MM. FDTD subgridding with higher order derivative approximations. [Internet] [Masters thesis]. Colorado School of Mines; 2020. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/11124/175334.
Council of Science Editors:
Le MM. FDTD subgridding with higher order derivative approximations. [Masters Thesis]. Colorado School of Mines; 2020. Available from: http://hdl.handle.net/11124/175334

McMaster University
16.
Zhang, Yifan.
Sensitivity Analysis of Scattering Parameters and Its Applications.
Degree: PhD, 2013, McMaster University
URL: http://hdl.handle.net/11375/12918
► This thesis contributes significantly to the advanced applications of scattering parameter sensitivity analysis including the design optimization of high-frequency printed structures and in microwave…
(more)
▼ This thesis contributes significantly to the advanced applications of scattering parameter sensitivity analysis including the design optimization of high-frequency printed structures and in microwave imaging. In both applications, the methods exploit the computational efficiency of the self-adjoint sensitivity analysis (SASA) approach where only one EM simulation suffices to obtain both the responses and their gradients with respect to the optimizable variables. An S-parameter self-adjoint sensitivity formula for multiport planar structures using the method of moments (MoM) current solution is proposed. It can be easily implemented with existing MoM solvers. The shape perturbation which is required in computing the system-matrix derivatives are accommodated by changing the material properties of the local mesh elements. The use of a pre-determined library system matrix further accelerates the design optimization because the writing/reading of the system matrix to/from the disk is avoided. The design optimization of a planar ultra-wide band (UWB) antenna and a double stub tuner are presented as validation examples. In the application of the sensitivity-based imaging, the SASA approach allows for real-time image reconstruction once the field distribution of the reference object (RO) is known. Here, the RO includes the known background medium of the object under test (OUT) and the known antennas. The field distribution can be obtained using simulation or measurement. The spatial resolution is an important measure of the performance of an imaging technique. It represents the smallest detail that can be detected by a given imaging method. The resolution of the sensitivity-based imaging approach has not been studied before. In this thesis, the resolution limits are systematically studied with planar raster scanning and circular array data acquisition. In addition, the method’s robustness to noise is studied. A guideline is presented for an acceptable signal-to-noise ratio (SNR) versus the spatial and frequency sampling rates in designing a data-acquisition system for the method. This thesis validates the sensitivity-based imaging with measured data of human tissue phantoms for the first time. The differences in dielectric properties of the targets are qualitatively reflected in the reconstructed image. A preliminary study of imaging with inexact background information of the OUT is also presented.
Doctor of Philosophy (PhD)
Advisors/Committee Members: Nikolova, Natalia K., Electrical and Computer Engineering.
Subjects/Keywords: computational electromagnetics; sensitivity analysis; inverse scattering; antenna and microwave cicuit design; microwave imaging; Electromagnetics and photonics; Electromagnetics and photonics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, Y. (2013). Sensitivity Analysis of Scattering Parameters and Its Applications. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/12918
Chicago Manual of Style (16th Edition):
Zhang, Yifan. “Sensitivity Analysis of Scattering Parameters and Its Applications.” 2013. Doctoral Dissertation, McMaster University. Accessed February 27, 2021.
http://hdl.handle.net/11375/12918.
MLA Handbook (7th Edition):
Zhang, Yifan. “Sensitivity Analysis of Scattering Parameters and Its Applications.” 2013. Web. 27 Feb 2021.
Vancouver:
Zhang Y. Sensitivity Analysis of Scattering Parameters and Its Applications. [Internet] [Doctoral dissertation]. McMaster University; 2013. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/11375/12918.
Council of Science Editors:
Zhang Y. Sensitivity Analysis of Scattering Parameters and Its Applications. [Doctoral Dissertation]. McMaster University; 2013. Available from: http://hdl.handle.net/11375/12918

University of Kentucky
17.
Boyd, Darren Ray.
A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples.
Degree: 2014, University of Kentucky
URL: https://uknowledge.uky.edu/ece_etds/39
► The frequency demands of radiating systems are moving into the terahertz band with potential applications that include sensing, imaging, and extremely broadband communication. One commonly…
(more)
▼ The frequency demands of radiating systems are moving into the terahertz band with potential applications that include sensing, imaging, and extremely broadband communication. One commonly used method for generating and detecting terahertz waves is to excite a voltage-biased photoconductive antenna with an extremely short laser pulse. The pulsed laser generates charge carriers in a photoconductive substrate which are swept onto the metallic antenna traces to produce an electric current that radiates or detects a terahertz band signal. Therefore, analysis of a photoconductive antenna requires simultaneous solutions of both semiconductor physics equations (including drift-diffusion and continuity relations) and Maxwell’s equations. A multi-physics analysis scheme based on the Discontinuous-Galerkin Finite-Element Time-Domain (DGFETD) is presented that couples the semiconductor drift-diffusion equations with the electromagnetic Maxwell’s equations. A simple port model is discussed that efficiently couples the two equation sets. Various photoconductive antennas were fabricated using TiAu metallization on a GaAs substrate and the fabrication process is detailed. Computed emission intensities are compared with measured data. Optimized antenna designs based on the analysis are presented for a variety of antenna configurations.
Subjects/Keywords: Computational Electromagnetics; Photoconductive Antenna; Device Fabrication; Semiconductor Physics; Electromagnetics; Electromagnetics and Photonics; Electronic Devices and Semiconductor Manufacturing; Nanotechnology Fabrication
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APA ·
Chicago ·
MLA ·
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APA (6th Edition):
Boyd, D. R. (2014). A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples. (Masters Thesis). University of Kentucky. Retrieved from https://uknowledge.uky.edu/ece_etds/39
Chicago Manual of Style (16th Edition):
Boyd, Darren Ray. “A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples.” 2014. Masters Thesis, University of Kentucky. Accessed February 27, 2021.
https://uknowledge.uky.edu/ece_etds/39.
MLA Handbook (7th Edition):
Boyd, Darren Ray. “A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples.” 2014. Web. 27 Feb 2021.
Vancouver:
Boyd DR. A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples. [Internet] [Masters thesis]. University of Kentucky; 2014. [cited 2021 Feb 27].
Available from: https://uknowledge.uky.edu/ece_etds/39.
Council of Science Editors:
Boyd DR. A Multi-Physics Computational Approach to Simulating THz Photoconductive Antennas with Comparison to Measured Data and Fabrication of Samples. [Masters Thesis]. University of Kentucky; 2014. Available from: https://uknowledge.uky.edu/ece_etds/39

University of Kentucky
18.
Pfeiffer, Robert.
CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS.
Degree: 2015, University of Kentucky
URL: https://uknowledge.uky.edu/ece_etds/79
► Higher-order basis functions are widely used to model currents and fields in numerical simulations of electromagnetics problems because of the greater accuracy and computational efficiency…
(more)
▼ Higher-order basis functions are widely used to model currents and fields in numerical simulations of electromagnetics problems because of the greater accuracy and computational efficiency they can provide. Different problem formulations, such as method of moments (MoM) and the finite element method (FEM) require different constraints on basis functions for optimal performance, such as normal or tangential continuity between cells. In this thesis, a method of automatically generating bases that satisfy the desired basis constraints is applied to a MoM formulation for scattering problems using surface integral equations. Numerical results demonstrate the accuracy of this approach, and show good system matrix conditioning when compared to other higher-order bases.
Subjects/Keywords: Basis Functions; Method of Moments; Electromagnetics; Constrained Basis Functions; Computational Electromagnetics; System Conditioning; Electromagnetics and Photonics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Pfeiffer, R. (2015). CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS. (Masters Thesis). University of Kentucky. Retrieved from https://uknowledge.uky.edu/ece_etds/79
Chicago Manual of Style (16th Edition):
Pfeiffer, Robert. “CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS.” 2015. Masters Thesis, University of Kentucky. Accessed February 27, 2021.
https://uknowledge.uky.edu/ece_etds/79.
MLA Handbook (7th Edition):
Pfeiffer, Robert. “CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS.” 2015. Web. 27 Feb 2021.
Vancouver:
Pfeiffer R. CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS. [Internet] [Masters thesis]. University of Kentucky; 2015. [cited 2021 Feb 27].
Available from: https://uknowledge.uky.edu/ece_etds/79.
Council of Science Editors:
Pfeiffer R. CONSTRAINED DIVERGENCE-CONFORMING BASIS FUNCTIONS FOR METHOD OF MOMENTS DISCRETIZATIONS IN ELECTROMAGNETICS. [Masters Thesis]. University of Kentucky; 2015. Available from: https://uknowledge.uky.edu/ece_etds/79

University of Colorado
19.
Agrawal, Anurag Satish.
Computational Imaging using Electromagnetic Optics.
Degree: PhD, 2014, University of Colorado
URL: https://scholar.colorado.edu/eeng_gradetds/8
► Modern optical imaging systems make extensive use of computational power for analog pre-processing, analog to digital conversion and digital post-processing. The joint design of…
(more)
▼ Modern optical imaging systems make extensive use of
computational power for analog pre-processing, analog to digital conversion and digital post-processing. The joint design of these elements can be used to optimize the information throughput of optical imaging systems. This paradigm, termed
computational optical imaging, aims at optimizing the output of optical systems in the form of imaging metrics, multidimensional imaging, feature detection, compressive sensing, etc. However, most optical imaging systems rely on the scalar wave theory of light to analyze these modern systems. Light, being an electromagnetic wave is vectorial in nature leading to significant errors in the scalar model when the propagation medium is anisotropic, inhomogeneous or non-linear. Electromagnetic optics, on the other hand, is an all-encompassing theory of light in the classical limit that takes into account the coupled nature of electric and magnetic fields.
In this respect, the effects of anisotropic emission from a fixed dipole emitter on high numerical aperture super-resolution microscopy are investigated. Wide field microscope configurations that allow simultaneous acquisition and measurement of the 3D position and orientation parameters of multiple fixed dipole emitters are proposed. The performance limits of these systems for the 5D imaging of fixed dipole emitters are quantified through comparison of the Cramer-Rao lower bounds in a photon limited environment. Further, experimental validation is provided for simultaneously estimating the 5D dipole parameters using the double-helix phase mask. Binary multi-level fabrication of efficient phase modulation elements to engineer the Green's tensor response of the system to a dipole input is demonstrated.
High numerical aperture objectives give rise to steep incident angles on lens surfaces, leading to resolution losses in imaging systems due to aberrations caused by the incorrect assumption of linearity between the incident and refracted angles at material interfaces. A new paradigm, termed infinitely refraction-linear artificial material (IRAM), is proposed to tackle this problem. IRAM maintain the linear relationship between incident and refracted angles beyond the paraxial limit. The inherent anisotropic material parameter requirements for IRAM are summarized. The performance of IRAM lenses is compared to that of conventional isotropic lenses by simulating the diffraction limited spot size of these lenses in Zemax. It is shown that with proper design IRAMs have the potential to improve the resolution of optical imaging systems. Further, another class of artificial metamaterials that use magnetic resonance to realize exotic optical properties is discussed as candidates for super-resolution using the super-lensing effect.
Advisors/Committee Members: Rafael Piestun, Robert Mcleod, Kelvin Wagner, Wounjhang Park, Ivan Smalyukh.
Subjects/Keywords: Computational Imaging; Diffraction limit; Electromagnetic Optics; Superresolution; Vector Optics; Computational Engineering; Electromagnetics and Photonics; Optics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Agrawal, A. S. (2014). Computational Imaging using Electromagnetic Optics. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/eeng_gradetds/8
Chicago Manual of Style (16th Edition):
Agrawal, Anurag Satish. “Computational Imaging using Electromagnetic Optics.” 2014. Doctoral Dissertation, University of Colorado. Accessed February 27, 2021.
https://scholar.colorado.edu/eeng_gradetds/8.
MLA Handbook (7th Edition):
Agrawal, Anurag Satish. “Computational Imaging using Electromagnetic Optics.” 2014. Web. 27 Feb 2021.
Vancouver:
Agrawal AS. Computational Imaging using Electromagnetic Optics. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2021 Feb 27].
Available from: https://scholar.colorado.edu/eeng_gradetds/8.
Council of Science Editors:
Agrawal AS. Computational Imaging using Electromagnetic Optics. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/eeng_gradetds/8
20.
Ortiz guzman, John Erick.
Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques.
Degree: Docteur es, Génie électrique, 2017, Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire
URL: http://www.theses.fr/2017IMTA0051
► Cette thèse présente plusieurs nouvelles techniques pour la convergence rapide des solutions aux éléments de frontière de problèmes électromagnétiques. Une attention spéciale a été dédiée…
(more)
▼ Cette thèse présente plusieurs nouvelles techniques pour la convergence rapide des solutions aux éléments de frontière de problèmes électromagnétiques. Une attention spéciale a été dédiée aux formulations pertinentes pour les solutions aux problèmes électromagnétiques dans les tissus biologiques à haute et basse fréquence. Pour les basses fréquences, de nouveaux schémas pour préconditionner et accélérer le problème direct de l'électroencéphalographie sont présentés dans cette thèse. La stratégie de régularisation repose sur une nouvelle formule de Calderon, obtenue dans cette thèse, alors que l'accélération exploite le paradigme d'approximation adaptive croisée (ACA). En ce qui concerne le régime haute fréquence, en vue d'applications de dosimétrie, l'attention de ce travail a été concentrée sur l'étude de la régularisation de l'équation intégrale de Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) à l'aide de techniques hiérarchiques. Le travail comprend une analyse complète de l'équation pour des géométries simplement et non-simplement connectées. Cela a permis de concevoir une nouvelle stratégie de régularisation avec une base hiérarchique permettant d'obtenir une équation pour les milieux pénétrable stable pour un large spectre de fréquence. Un cadre de travail propédeutique de discrétisation et une bibliothèque de calcul pour des thèmes de recherches sur les techniques de Calderon en 2D sont proposés en dernière partie de cette thèse. Cela permettra d'étendre nos recherches à l'imagerie par tomographie.
This thesis presents several new techniques for rapidly converging boundary element solutions of electromagnetic problems. A special focus has been given to formulations that are relevant for electromagnetic solutions in biological tissues both at low and high frequencies. More specifically, as pertains the low-frequency regime, this thesis presents new schemes for preconditioning and accelerating the Forward Problem in Electroencephalography (EEG). The regularization strategy leveraged on a new Calderon formula, obtained in this thesis work, while the acceleration leveraged on an Adaptive-Cross-Approximation paradigm. As pertains the higher frequency regime, with electromagnetic dosimetry applications in mind, the attention of this work focused on the study and regularization of the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) integral equation via hierarchical techniques. In this effort, a complete analysis of the equation for both simply and non-simply connected geometries has been obtained. This allowed to design a new hierarchical basis regularization strategy to obtain an equation for penetrable media which is stable in a wide spectrum of frequencies. A final part of this thesis work presents a propaedeutic discretization framework and associated computational library for 2D Calderon research which will enable our future investigations in tomographic imaging.
Advisors/Committee Members: Andriulli, Francesco Paolo (thesis director).
Subjects/Keywords: Equations intégrales; Électroencéphalographie; Électromagnétisme numérique; Integral equations; Electroencephalography; Computational electromagnetics; 004
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ortiz guzman, J. E. (2017). Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques. (Doctoral Dissertation). Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire. Retrieved from http://www.theses.fr/2017IMTA0051
Chicago Manual of Style (16th Edition):
Ortiz guzman, John Erick. “Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques.” 2017. Doctoral Dissertation, Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire. Accessed February 27, 2021.
http://www.theses.fr/2017IMTA0051.
MLA Handbook (7th Edition):
Ortiz guzman, John Erick. “Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques.” 2017. Web. 27 Feb 2021.
Vancouver:
Ortiz guzman JE. Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques. [Internet] [Doctoral dissertation]. Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire; 2017. [cited 2021 Feb 27].
Available from: http://www.theses.fr/2017IMTA0051.
Council of Science Editors:
Ortiz guzman JE. Fast boundary element formulations for electromagnetic modelling in biological tissues : Formulations rapides aux éléments de frontière pour la modélisation électromagnétique dans les tissus biologiques. [Doctoral Dissertation]. Ecole nationale supérieure Mines-Télécom Atlantique Bretagne Pays de la Loire; 2017. Available from: http://www.theses.fr/2017IMTA0051

Stellenbosch University
21.
Lezar, Evan.
GPU acceleration of matrix-based methods in computational electromagnetics.
Degree: Electrical and Electronic Engineering, 2011, Stellenbosch University
URL: http://hdl.handle.net/10019.1/6507
► Thesis (PhD (Electrical and Electronic Engineering)) – University of Stellenbosch, 2011.
ENGLISH ABSTRACT: This work considers the acceleration of matrix-based computational electromagnetic (CEM) techniques using graphics…
(more)
▼ Thesis (PhD (Electrical and Electronic Engineering)) – University of Stellenbosch, 2011.
ENGLISH ABSTRACT: This work considers the acceleration of matrix-based computational electromagnetic (CEM)
techniques using graphics processing units (GPUs). These massively parallel processors have
gained much support since late 2006, with software tools such as CUDA and OpenCL greatly
simplifying the process of harnessing the computational power of these devices. As with any
advances in computation, the use of these devices enables the modelling of more complex problems,
which in turn should give rise to better solutions to a number of global challenges faced
at present.
For the purpose of this dissertation, CUDA is used in an investigation of the acceleration
of two methods in CEM that are used to tackle a variety of problems. The first of these is the
Method of Moments (MOM) which is typically used to model radiation and scattering problems,
with the latter begin considered here. For the CUDA acceleration of the MOM presented here,
the assembly and subsequent solution of the matrix equation associated with the method are
considered. This is done for both single and double precision
oating point matrices.
For the solution of the matrix equation, general dense linear algebra techniques are used,
which allow for the use of a vast expanse of existing knowledge on the subject. This also means
that implementations developed here along with the results presented are immediately applicable
to the same wide array of applications where these methods are employed.
Both the assembly and solution of the matrix equation implementations presented result in
signi cant speedups over multi-core CPU implementations, with speedups of up to 300x and
10x, respectively, being measured. The implementations presented also overcome one of the
major limitations in the use of GPUs as accelerators (that of limited memory capacity) with
problems up to 16 times larger than would normally be possible being solved.
The second matrix-based technique considered is the Finite Element Method (FEM), which
allows for the accurate modelling of complex geometric structures including non-uniform dielectric
and magnetic properties of materials, and is particularly well suited to handling bounded
structures such as waveguide. In this work the CUDA acceleration of the cutoff and dispersion
analysis of three waveguide configurations is presented. The modelling of these problems using
an open-source software package, FEniCS, is also discussed.
Once again, the problem can be approached from a linear algebra perspective, with the
formulation in this case resulting in a generalised eigenvalue (GEV) problem. For the problems
considered, a total solution speedup of up to 7x is measured for the solution of the generalised
eigenvalue problem, with up to 22x being attained for the solution of the standard eigenvalue
problem that forms part of the GEV problem.
AFRIKAANSE OPSOMMING: In hierdie werkstuk word die versnelling van matriksmetodes…
Advisors/Committee Members: Davidson, D. B., University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering..
Subjects/Keywords: Electronic engineering; Electromagnetism; Graphics processing units; Computational electromagnetics (CEM)
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lezar, E. (2011). GPU acceleration of matrix-based methods in computational electromagnetics. (Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/6507
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):
Lezar, Evan. “GPU acceleration of matrix-based methods in computational electromagnetics.” 2011. Thesis, Stellenbosch University. Accessed February 27, 2021.
http://hdl.handle.net/10019.1/6507.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lezar, Evan. “GPU acceleration of matrix-based methods in computational electromagnetics.” 2011. Web. 27 Feb 2021.
Vancouver:
Lezar E. GPU acceleration of matrix-based methods in computational electromagnetics. [Internet] [Thesis]. Stellenbosch University; 2011. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/10019.1/6507.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lezar E. GPU acceleration of matrix-based methods in computational electromagnetics. [Thesis]. Stellenbosch University; 2011. Available from: http://hdl.handle.net/10019.1/6507
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Stellenbosch University
22.
Marchand, Renier Gustav.
The method of manufactured solutions for the verification of computational electromagnetic codes.
Degree: PhD, Electrical and Electronic Engineering, 2013, Stellenbosch University
URL: http://hdl.handle.net/10019.1/80210
► ENGLISH ABSTRACT: In this work the Method of Manufactured Solutions (MMS) is introduced for the code veri cation of full-wave frequency dependent electromagnetic computational software.…
(more)
▼ ENGLISH ABSTRACT: In this work the Method of Manufactured Solutions (MMS) is introduced for
the code veri cation of full-wave frequency dependent electromagnetic computational
software.
At rst the method is sketched in the context of the veri cation and validation
process and the need for proper code veri cation is highlighted.
Subsequently, the MMS is investigated in its natural context: the Finite
Element Method, speci cally for the E- eld Vector Wave Equation. The usefulness
of the method to detect error in a computational code is demonstrated.
The selection of Manufactured Solutions is discussed and it is demonstrated
how it can be used to nd the probable cause of bugs. Mutation testing is
introduced and used to show the ability to detect errors present in code.
The MMS is nally applied in a novel manner to a Method of Moments
(MoM) code. The challenges of numerical integration associated with the application
of the operator is discussed and correct integration is successfully
demonstrated. Subsequently the MMS is demonstrated to be successfully applied
to the MoM and mutation testing is used to demonstrate the practical
e cacy of the method.
The application of the MMS to the MoM is the main contribution of this
work.
AFRIKAANSE OPSOMMING: Die Metode van Vervaardigde Oplossings (MVO) word hier bekend gestel vir
die veri kasie van numeriese volgolf frekwensie-afhanklike elektromagnetise
kode.
Die metode word eerstens in die bre e konteks van algemene veri kasie en
validasie geplaas en gevolglik word die noodsaaklikheid van kode veri kasie
beklemtoon.
Daarna, word die toets-metode in die konteks van die Eindige Element
Metode vir die E-veld vektorgolf vergelyking bestudeer. Die MVO is oorspronklik
ontwikkel in die di erentiaalvergelyking omgewing. Die bruikbaarheid van
die metode vir elektromagnetiese simulasies word prakties gedemonstreer deur
die opsporing van werklike foute. Die metode word ook verder ondersoek vir
die oorsprong van foute. Mutasietoetsing word bekendgestel en word gebruik
om die metode verder prakties te veri eer.
Die MVO word laastens in 'n nuwe manier gebruik om 'n Moment Metode
kode te veri eer. Die praktiese probleme betrokke by numeriese integrasie word
ondersoek en die korrekte toepassing van die integraal operator word prakties
gedemonstreer. Daarna, word die MVO in hierdie konteks gedemonstreer deur
verskeie voorbeelde te ondersoek. Mutasietoetsing word weereens gebruik om
na die e ektiewiteit van die MVO te kyk om 'n Moment Metode kode te toets.
Die toepassing van die MVO op 'n Moment Metode kode is die hoof bydrae
van hierdie werk.
Advisors/Committee Members: Davidson, D. B., Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering..
Subjects/Keywords: Electronic engineering; Electromagnetic fields; Computational electromagnetics; Method of manufactured solutions (MMS)
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Marchand, R. G. (2013). The method of manufactured solutions for the verification of computational electromagnetic codes. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/80210
Chicago Manual of Style (16th Edition):
Marchand, Renier Gustav. “The method of manufactured solutions for the verification of computational electromagnetic codes.” 2013. Doctoral Dissertation, Stellenbosch University. Accessed February 27, 2021.
http://hdl.handle.net/10019.1/80210.
MLA Handbook (7th Edition):
Marchand, Renier Gustav. “The method of manufactured solutions for the verification of computational electromagnetic codes.” 2013. Web. 27 Feb 2021.
Vancouver:
Marchand RG. The method of manufactured solutions for the verification of computational electromagnetic codes. [Internet] [Doctoral dissertation]. Stellenbosch University; 2013. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/10019.1/80210.
Council of Science Editors:
Marchand RG. The method of manufactured solutions for the verification of computational electromagnetic codes. [Doctoral Dissertation]. Stellenbosch University; 2013. Available from: http://hdl.handle.net/10019.1/80210

Penn State University
23.
Rybicki, Brian William.
ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS.
Degree: 2008, Penn State University
URL: https://submit-etda.libraries.psu.edu/catalog/8698
► Both the fabrication and placement of nanostructures (i.e. structures whose dimensions are on the order of nanometers) has matured to the point where antenna- and…
(more)
▼ Both the fabrication and placement of nanostructures (i.e. structures whose dimensions are on the order of nanometers) has matured to the point where antenna- and waveguide-like elements may be manufactured and precisely placed into useful configurations. This is of particular interest because it extends conventional antenna concepts and applications into the terahertz and even optical regimes. To support these inquiries, it is necessary to correctly describe the electromagnetic properties with proper modeling. This thesis will address a few specific topics in the modeling of nanoscale
electromagnetics and novel applications at terahertz and optical frequencies. First, an analytical treatment of the scattering from GaP nanowires and asymptotic forms of the average internal intensities are derived. The ratio of orthogonally polarized intensities with a vanishingly thin nanowire confirms the presence of the ‘antenna effect’ in this limit. The simulation of arrays of metallic nanowires shows that they may function well as frequency selective surfaces in the mid-infrared. By introducing a small gap in each nanowire, large near fields are produced at resonance that may find use in field enhanced spectroscopy. The excitation of nanowires allows them to function as optical nanoantennas and they are well described by conventional antenna parameters such as input impedance, radiation efficiency and directivity. Nanoantennas can be simulated more efficiently by taking advantage of the surface impedance condition, though with less accurate calculation of the input reactance.
Advisors/Committee Members: Douglas Henry Werner, Thesis Advisor/Co-Advisor.
Subjects/Keywords: computational electromagnetics; optical antennas; nanowires
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Rybicki, B. W. (2008). ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/8698
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):
Rybicki, Brian William. “ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS.” 2008. Thesis, Penn State University. Accessed February 27, 2021.
https://submit-etda.libraries.psu.edu/catalog/8698.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Rybicki, Brian William. “ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS.” 2008. Web. 27 Feb 2021.
Vancouver:
Rybicki BW. ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS. [Internet] [Thesis]. Penn State University; 2008. [cited 2021 Feb 27].
Available from: https://submit-etda.libraries.psu.edu/catalog/8698.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Rybicki BW. ELECTROMAGNETIC MODELING OF NANOWIRES AND OPTICAL NANOANTENNAS. [Thesis]. Penn State University; 2008. Available from: https://submit-etda.libraries.psu.edu/catalog/8698
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

McMaster University
24.
Zhang, Yu.
Advances in the adjoint variable method for time-domain electromagnetic simulations.
Degree: DEng, 2015, McMaster University
URL: http://hdl.handle.net/11375/17471
► This thesis covers recent advances in the adjoint variable method for the sensitivity estimations through time-domain electromagnetic simulations. It considers both frequency-independent and frequency-dependent response…
(more)
▼ This thesis covers recent advances in the adjoint variable method for the sensitivity estimations through time-domain electromagnetic simulations. It considers both frequency-independent and frequency-dependent response functions, and at the same time, provides a novel adjoint treatment for addressing dispersive sensitivity parameters in the material constitutive relation. With this proposed adjoint technique, response sensitivities with respect to all N sensitivity parameters can be computed through at most one extra simulations regardless of the value of N. This thesis also extends the existing adjoint technique to estimate all N2 second-order sensitivity entries in the response Hessian matrix through N additional simulations. All adjoint sensitivity techniques presented in this thesis are numerically validated through various practical examples. Comparison shows that our produced adjoint results agree with those produced through central finite-difference approximations or through exact analytical approaches.
Dissertation
Doctor of Engineering (DEng)
Advisors/Committee Members: Bakr, Mohamed H., Electrical and Computer Engineering.
Subjects/Keywords: Adjoint variable method (AVM); computational electromagnetics; finite-difference time-domain (FDTD)
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APA (6th Edition):
Zhang, Y. (2015). Advances in the adjoint variable method for time-domain electromagnetic simulations. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/17471
Chicago Manual of Style (16th Edition):
Zhang, Yu. “Advances in the adjoint variable method for time-domain electromagnetic simulations.” 2015. Doctoral Dissertation, McMaster University. Accessed February 27, 2021.
http://hdl.handle.net/11375/17471.
MLA Handbook (7th Edition):
Zhang, Yu. “Advances in the adjoint variable method for time-domain electromagnetic simulations.” 2015. Web. 27 Feb 2021.
Vancouver:
Zhang Y. Advances in the adjoint variable method for time-domain electromagnetic simulations. [Internet] [Doctoral dissertation]. McMaster University; 2015. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/11375/17471.
Council of Science Editors:
Zhang Y. Advances in the adjoint variable method for time-domain electromagnetic simulations. [Doctoral Dissertation]. McMaster University; 2015. Available from: http://hdl.handle.net/11375/17471

University of Manitoba
25.
Aljamal, Ammar.
Delta-gap port model for surface-volume-surface electric field integral equation.
Degree: Electrical and Computer Engineering, 2019, University of Manitoba
URL: http://hdl.handle.net/1993/34087
► This thesis presents a delta-gap source model for recently introduced Surface- Volume-Surface Electric Field Integral Equation (SVS-EFIE). The SVS-EFIE is a class of single-source integral…
(more)
▼ This thesis presents a delta-gap source model for recently introduced Surface-
Volume-Surface Electric Field Integral Equation (SVS-EFIE). The SVS-EFIE is a
class of single-source integral equations (SSIEs), which is obtained from the combination
of the volumetric equivalence principle with the conventional single-source eld
representation. The classical delta-gap port model is extended for use in SVS-EFIE for
the solution of antenna radiation problem, extraction of network parameters in 3D interconnects,
and characterization of the microwave circuits. The delta-gap source model
for SVS-EFIE is derived from the conventional delta-gap model used in the classical surface EFIE. However, due to single-source nature of the SVS-EFIE equation, the net
current in the port is determined through integration of the volumetric conductivity
current density in the port cross-section. The proposed delta-gap driven SVS-EFIE is
discretized using Method of Moments (MoM) with Rao-Wilton-Glisson (RWG) basis
functions representing the surface current and piece-wise basis functions in the
tetrahedrons discretizing the current in the conductor volume.
The proposed model of port excitation in SVS-EFIE is validated through the studies
of the current distribution and the frequency-dependent input impedance of a dipole
antenna. Extracted input impedance values obtained with SVS-EFIE are compared
against those in the classical EFIE as well as experimental values. Convergence
analysis of the computed values of the input impedance with progressively increasing
densities of the MoM meshes is performed. Input impedance extracted with delta-gap excited SVS-EFIE shows stable values upon mesh refi nement unlike those in
the standard surface EFIE driven by a delta-gap port. This mesh stability of the extracted
network parameters upon delta-gap excitation as well as the ability of the SVS-EFIE
to rigorously compute volumetric eld behaviour and, hence, loss behaviour in the
presence of skin-, corner- and proximity-effects makes it an attractive alternative to
the classical EFIE solutions for antenna analysis and circuit characterization.
Advisors/Committee Members: Okhmatovski, Vladimir (Electrical and Computer Engineering) (supervisor), Kordi, Behzad (Electrical and Computer Engineering).
Subjects/Keywords: (Computational Electromagnetics; Integral Equation; SVS-EFIE; Antenna; Delta-Gap)
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Aljamal, A. (2019). Delta-gap port model for surface-volume-surface electric field integral equation. (Masters Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/34087
Chicago Manual of Style (16th Edition):
Aljamal, Ammar. “Delta-gap port model for surface-volume-surface electric field integral equation.” 2019. Masters Thesis, University of Manitoba. Accessed February 27, 2021.
http://hdl.handle.net/1993/34087.
MLA Handbook (7th Edition):
Aljamal, Ammar. “Delta-gap port model for surface-volume-surface electric field integral equation.” 2019. Web. 27 Feb 2021.
Vancouver:
Aljamal A. Delta-gap port model for surface-volume-surface electric field integral equation. [Internet] [Masters thesis]. University of Manitoba; 2019. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/1993/34087.
Council of Science Editors:
Aljamal A. Delta-gap port model for surface-volume-surface electric field integral equation. [Masters Thesis]. University of Manitoba; 2019. Available from: http://hdl.handle.net/1993/34087

Universitat Politècnica de València
26.
Carceller Candau, Carlos.
Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
.
Degree: 2016, Universitat Politècnica de València
URL: http://hdl.handle.net/10251/64089
► [EN] Modern communications systems impose stringent requirements on the equipment that operates at microwave frequency, especially in the case of wireless communications. The design of…
(more)
▼ [EN] Modern communications systems impose stringent requirements on the equipment that operates at microwave frequency, especially in the case of wireless communications. The design of passive components for these applications is contingent upon the availability of accurate electromagnetic (EM) modeling tools that can efficiently handle the complex geometry of these components. Despite the widespread use of mesh-based general-purpose computer-aided engineering (CAE) tools to perform final design verifications, their application during the optimization process is limited. Optimum designs require a large number of simulations, which are computationally expensive when performed by general purpose tools. Instead, microwave designers prefer to employ faster software tools tailored to specific geometries, such as waveguide components, multilayered structures, etc. Therefore, the development of faster and more efficient specialized EM tools has a direct impact on the design of microwave components, both quantitatively and qualitatively. Increasingly complex geometries are modeled more accurately, and may be incorporated into novel designs without penalizing development time and its associated costs. By doing so, passive components become more advanced and are able to fulfill stricter requirements. At the same time, new research and development opportunities arise in order to address the challenges posed by these advanced structures.
The present thesis is focused on a specific type of waveguide cavity geometry: bi-dimensional structures of arbitrary shape. Most microwave components based on rectangular waveguides include these elements (bends, T-junctions, tapers, power-dividers, etc.), thus the scope of this work is wide. To characterize these structures, an efficient full-wave modal formulation is developed. Taking into account common properties of bi-dimensional structures, such as its electromagnetic symmetry, the resulting technique is very efficient and accurate. Thanks to the integration of this formulation into a CAE tool, a designer is able to solve complex systems that combine this type of element with components of vastly different shapes.
The developed formulation is first applied to the analysis and design of passive components, such as filters, multiplexers and orthomode transducers. These examples are employed to validate the results, as well as to demonstrate the improvement that the proposed analysis technique represents over well-known commercial EM packages. Likewise, this formulation is combined with the tool SPARK3D to predict RF breakdown (multipactor and corona) in selected bi-dimensional structures.
Then, novel implementations of waveguide quasi-elliptic filters, based on the interconnection of bi-dimensional cavities, are proposed. Special attention is paid to the realization of multiple transmission zeros (TZs) with tuning-less compact structures. First, a novel family of filters, known as hybrid-folded rectangular waveguide structures, is studied. Simple and flexible methods to prescribe the…
Advisors/Committee Members: Boria Esbert, Vicente Enrique (advisor), Gil Raga, Jordi (advisor), Soto Pacheco, Pablo (advisor).
Subjects/Keywords: Microwaves;
Computational electromagnetics;
Modal analysis;
Waveguide components;
Filters;
Multiplexers;
Satellite;
Communications
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Carceller Candau, C. (2016). Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
. (Doctoral Dissertation). Universitat Politècnica de València. Retrieved from http://hdl.handle.net/10251/64089
Chicago Manual of Style (16th Edition):
Carceller Candau, Carlos. “Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
.” 2016. Doctoral Dissertation, Universitat Politècnica de València. Accessed February 27, 2021.
http://hdl.handle.net/10251/64089.
MLA Handbook (7th Edition):
Carceller Candau, Carlos. “Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
.” 2016. Web. 27 Feb 2021.
Vancouver:
Carceller Candau C. Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
. [Internet] [Doctoral dissertation]. Universitat Politècnica de València; 2016. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/10251/64089.
Council of Science Editors:
Carceller Candau C. Full-wave characterization of bi-dimensional cavities and its application to the design of waveguide filters and multiplexers
. [Doctoral Dissertation]. Universitat Politècnica de València; 2016. Available from: http://hdl.handle.net/10251/64089

Michigan Technological University
27.
Zhang, Xu.
Controlling light with metadevices.
Degree: PhD, Department of Electrical and Computer Engineering, 2018, Michigan Technological University
URL: https://digitalcommons.mtu.edu/etdr/700
► The development of metamaterials provides a new way to manipulate electromagnetic waves by sub-wavelength artificial structures, and hence brings new properties and functionalities that…
(more)
▼ The development of metamaterials provides a new way to manipulate electromagnetic waves by sub-wavelength artificial structures, and hence brings new properties and functionalities that cannot be found with conventional materials. This leads to the possibility of previously unthought-of applications, including perfect lenses, invisibility cloaks, and perfect absorbers. However, several critical challenges need to be addressed before transiting from intriguing scientific findings to real-world usable devices.
This dissertation deals with two challenges regarding the practical use of metamaterials. Firstly, fabrication of truly three-dimensional (3D) and large-scale metamaterials is needed to increase the degrees of freedom of the functionality for device level applications. Direct laser writing (DLW) technique is a potential choice to fabricate such materials with special design requirements. A hyperbolic metamaterial and a hollow waveguide with negative index metamaterial cladding that satisfy the vertical connectivity requirement are proposed, and hence they have the potential to be fabricated with DLW. Three different magnetic dipoles supported by the hyperbolic metamaterial are investigated and contribute to hyperbolic dispersion. In addition, the adverse effect of material absorption on the hollow waveguide with negative index cladding is studied, which leads to the second challenge: how to avoid losses. A loss compensation technique called the plasmon injection (Π) scheme is successfully applied to an experimental hyperlens and a magnifying superlens. The extension of this Π scheme to the hyperlens is analytically described and numerically implemented. The equivalent of the spatial filter with the Π scheme is demonstrated and the resolution enhancement is obtained for both the hyperlens and the magnifying superlens.
In addition, this dissertation also provides a possible solution to meet the need for miniaturized devices. Metamaterials have potential advantages compared with conventional materials for compact design due to their sub-wavelength unit cells and arbitrary control of electromagnetic responses. An extremely sub-wavelength negative index metamaterial (NIM) working at radio frequency (RF) is proposed. The idea of improving the transparency of the metamaterial by reducing the diluted plasma frequency is investigated. Meanwhile, at optical frequencies, a metamaterial-based beam splitter is proposed and able to achieve polarizing, partially polarizing and non-polarizing properties by changing its geometry.
Advisors/Committee Members: Durdu Guney.
Subjects/Keywords: Metamaterials; Optical design; Computational imaging;
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, X. (2018). Controlling light with metadevices. (Doctoral Dissertation). Michigan Technological University. Retrieved from https://digitalcommons.mtu.edu/etdr/700
Chicago Manual of Style (16th Edition):
Zhang, Xu. “Controlling light with metadevices.” 2018. Doctoral Dissertation, Michigan Technological University. Accessed February 27, 2021.
https://digitalcommons.mtu.edu/etdr/700.
MLA Handbook (7th Edition):
Zhang, Xu. “Controlling light with metadevices.” 2018. Web. 27 Feb 2021.
Vancouver:
Zhang X. Controlling light with metadevices. [Internet] [Doctoral dissertation]. Michigan Technological University; 2018. [cited 2021 Feb 27].
Available from: https://digitalcommons.mtu.edu/etdr/700.
Council of Science Editors:
Zhang X. Controlling light with metadevices. [Doctoral Dissertation]. Michigan Technological University; 2018. Available from: https://digitalcommons.mtu.edu/etdr/700

University of Illinois – Urbana-Champaign
28.
Sarathy, Aditya.
Fast algorithms for small particle scattering problems.
Degree: MS, 1200, 2014, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/50498
► In scattering problems, commonly used techniques are surface and volume integral equations. Discrete dipole approximation (DDA) is an alternate and useful discretization technique to solve…
(more)
▼ In scattering problems, commonly used techniques are surface and volume integral equations. Discrete dipole approximation (DDA) is an alternate and useful discretization technique to solve these problems where the continuum scatterer is replaced by a set of polarizable dipoles. It is an alternative to volume integral equations and produces a dense matrix equation to be solved. Computationally, the method requires the solution of large dense systems of linear equations, and various iterative methods have been employed in the literature for the purpose. In this work, two distinct methods are proposed that can reduce the cost of computation.
The first method to reduce the computation time of the solution is using matrix decomposition methods. The idea in this method is using randomized algorithms for low rank approximating of matrices. When implemented using special kinds of random matrices, the
computational complexity of the multilevel solver is comparable to that of the fast multipole method. These methods, however, require visiting every entry of the interaction matrix at least once, thereby incurring a
computational bottleneck of 𝓞(N
2). They are error controllable and a greater error margin can reduce the computation time.
The second method to reduce the
computational complexity is the fast multipole method (FMM). This is based on the factorization of the Green's function and is useful only in those cases where the Green's function of the system can be decomposed into a product of special functions. The decomposition of the free space Green's function is well known using the addition theorem. However, in more complicated cases, this factorization is extremely complicated. In the case considered in this thesis, however, the scattering problem is formulated using the free space Green's function and can be sped up using the FMM also, which requires much less
computational time than the matrix decomposition method.
Advisors/Committee Members: Chew, Weng Cho (advisor).
Subjects/Keywords: Method of Moments; Computational Electromagnetics; Fast Multipole Method; Matrix Projection Algorithms
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Sarathy, A. (2014). Fast algorithms for small particle scattering problems. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/50498
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):
Sarathy, Aditya. “Fast algorithms for small particle scattering problems.” 2014. Thesis, University of Illinois – Urbana-Champaign. Accessed February 27, 2021.
http://hdl.handle.net/2142/50498.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Sarathy, Aditya. “Fast algorithms for small particle scattering problems.” 2014. Web. 27 Feb 2021.
Vancouver:
Sarathy A. Fast algorithms for small particle scattering problems. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2014. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/2142/50498.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Sarathy A. Fast algorithms for small particle scattering problems. [Thesis]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/50498
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Urbana-Champaign
29.
Roth, Thomas E.
Development of provably stable A-phi formulation time domain integral equations.
Degree: MS, Electrical & Computer Engr, 2017, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/97346
► Applications involving quantum physics are becoming an increasingly important area for electromagnetic engineering. To address practical problems in these emerging areas, appropriate numerical techniques must…
(more)
▼ Applications involving quantum physics are becoming an increasingly important area for electromagnetic engineering. To address practical problems in these emerging areas, appropriate numerical techniques must be utilized. However, the unique needs of many of these applications require the development of new
computational electromagnetic solvers. The A-Phi formulation is a novel approach that can address many of these needs. This formulation utilizes equations developed in terms of the magnetic vector potential (A) and electric scalar potential (Phi). The resulting equations overcome many of the limitations of traditional solvers and are ideal for coupling to quantum mechanical calculations. The main novelty of this thesis is the extension of the A-Phi formulation to two sets of time domain integral equations. These integral equations are provably stable and constitute robust numerical techniques that can be utilized in many applications. To validate the proposed time domain integral equations, numerical results are presented which demonstrate the stability and accuracy of the developed methods.
Advisors/Committee Members: Chew, Weng Cho (advisor).
Subjects/Keywords: Computational electromagnetics; Time domain integral equations; Low frequency; Multiscale
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Roth, T. E. (2017). Development of provably stable A-phi formulation time domain integral equations. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97346
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):
Roth, Thomas E. “Development of provably stable A-phi formulation time domain integral equations.” 2017. Thesis, University of Illinois – Urbana-Champaign. Accessed February 27, 2021.
http://hdl.handle.net/2142/97346.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Roth, Thomas E. “Development of provably stable A-phi formulation time domain integral equations.” 2017. Web. 27 Feb 2021.
Vancouver:
Roth TE. Development of provably stable A-phi formulation time domain integral equations. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2017. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/2142/97346.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Roth TE. Development of provably stable A-phi formulation time domain integral equations. [Thesis]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97346
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Duke University
30.
Sleasman, Timothy.
Dynamic Metasurface Apertures for Computational Imaging
.
Degree: 2018, Duke University
URL: http://hdl.handle.net/10161/18210
► Microwave imaging platforms conventionally take the form of antenna arrays or synthetic apertures. Inspired by methods in the optical regime, computational microwave imaging has…
(more)
▼ Microwave imaging platforms conventionally take the form of antenna arrays or synthetic apertures. Inspired by methods in the optical regime,
computational microwave imaging has recently taken hold as an alternative approach that uses spatially-diverse waveforms to multiplex scene information. In this dissertation, we use dynamic metasurface apertures to demonstrate improved hardware characteristics and capabilities in
computational microwave imaging systems. In particular, we demonstrate waveguide-fed and cavity-backed dynamic metasurface apertures. A waveguide-fed dynamic metasurface aperture consists of a waveguide device loaded with numerous independently tunable metamaterial elements, each of which couples energy from the guided mode into a reconfigurable radiation pattern. We explicate design considerations for a waveguide-fed dynamic metasurface aperture, optimize its usage, and utilize it in
computational imaging. In addition, we leverage the dynamic aperture's agility to demonstrate through-wall imaging and beamforming for synthetic aperture radar. Significant attention is also devoted to imaging with a single frequency, an approach which can ease the complexity and improve the performance of the required RF components. Expanding on the waveguide-fed instantiation, we investigate cavity-backed dynamic apertures. These apertures employ disordered cavity modes to feed a multitude of radiating elements. We investigate this approach with two structures: a volumetric cavity, where we tune the boundary condition, and a planar PCB-based cavity, where the radiating elements are tuned. Capable of generating diverse radiation patterns, we use these structures to assess the utility of dynamic tuning in
computational imaging systems. Many of the architectures studied in this dissertation chart a path toward a low-cost dynamic aperture with a favorable form factor, a platform which provides immense control over its emitted fields for a variety of microwave applications.
Advisors/Committee Members: Smith, David R (advisor).
Subjects/Keywords: Electromagnetics;
Electrical engineering;
Optics;
Computational Imaging;
Holography;
Metamaterials;
Microwave Imaging
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Sleasman, T. (2018). Dynamic Metasurface Apertures for Computational Imaging
. (Thesis). Duke University. Retrieved from http://hdl.handle.net/10161/18210
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):
Sleasman, Timothy. “Dynamic Metasurface Apertures for Computational Imaging
.” 2018. Thesis, Duke University. Accessed February 27, 2021.
http://hdl.handle.net/10161/18210.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Sleasman, Timothy. “Dynamic Metasurface Apertures for Computational Imaging
.” 2018. Web. 27 Feb 2021.
Vancouver:
Sleasman T. Dynamic Metasurface Apertures for Computational Imaging
. [Internet] [Thesis]. Duke University; 2018. [cited 2021 Feb 27].
Available from: http://hdl.handle.net/10161/18210.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Sleasman T. Dynamic Metasurface Apertures for Computational Imaging
. [Thesis]. Duke University; 2018. Available from: http://hdl.handle.net/10161/18210
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
◁ [1] [2] [3] [4] [5] [6] ▶
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