subject:(Kerr Nonlinearity)

Michigan Technological University

1. Rahman, Ashfiqur. Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array.

Degree: MS, Department of Physics, 2017, Michigan Technological University

URL: http://digitalcommons.mtu.edu/etdr/537

► We explore a type of synthetic saturable absorber based on quantum-inspired waveguide arrays or generally named as Jx array. We demonstrate the interplay of… (more)

Subjects/Keywords: Waveguide; Coupled Mode Theory; Saturable Absrober; Kerr Nonlinearity; Optics

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APA (6^th Edition):

Rahman, A. (2017). Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array. (Masters Thesis). Michigan Technological University. Retrieved from http://digitalcommons.mtu.edu/etdr/537

Chicago Manual of Style (16^th Edition):

Rahman, Ashfiqur. “Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array.” 2017. Masters Thesis, Michigan Technological University. Accessed December 08, 2019. http://digitalcommons.mtu.edu/etdr/537.

MLA Handbook (7^th Edition):

Rahman, Ashfiqur. “Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array.” 2017. Web. 08 Dec 2019.

Vancouver:

Rahman A. Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array. [Internet] [Masters thesis]. Michigan Technological University; 2017. [cited 2019 Dec 08]. Available from: http://digitalcommons.mtu.edu/etdr/537.

Council of Science Editors:

Rahman A. Synthetic Saturable Absorber Using Non-Uniform Jx Waveguide Array. [Masters Thesis]. Michigan Technological University; 2017. Available from: http://digitalcommons.mtu.edu/etdr/537

University of Sydney

2. Hajibaratali, Babak. Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity .

Degree: 2014, University of Sydney

URL: http://hdl.handle.net/2123/12080

► We study dynamics of Bragg grating solitons in a system of linearly coupled Bragg gratings with Kerr nonlinearity. The effects of dispersive reflectivity on the… (more)

▼ We study dynamics of Bragg grating solitons in a system of linearly coupled Bragg gratings with Kerr nonlinearity. The effects of dispersive reflectivity on the behaviour of solitons in the system are investigated by solving the coupled mode equations numerically. Gap solitons, are found to exist throughout the bandgap of the structure. The system supports two types of symmetric and asymmetric solitons that can have any velocities from zero to the speed of light in the medium. At given soliton parameters a critical coupling coefficient is found above which only symmetric solitons exist. Below the critical point however, both types of gap solitons may exist at the same time. Linear forms of coupled mode equations are solved analytically. The results are in excellent agreement with the gap soliton tails. Also, using the linear analysis a condition is found for the solitons to have sidelobes in their tails. Stability of solitons are investigated using systematic simulations. Generally, when dispersive reflectivity is zero, asymmetric solitons are stable for ω≥0. While with increase of dispersive reflectivity the stable region expands into the negative frequencies. Symmetric solitons on the other hand are found to be stable where they exist on their own. Interactions of quiescent gap solitons in the model are studied numerically. The outcomes generally depend on the initial separation (Δx) and phase difference. However, when the dispersive reflectivity is small, Δx-dependence is very weak. Interactions are found to result in a number of outcomes including merger into a single quiescent soliton, destruction, formation of a bound state that eventually breaks up into two separating solitons, formation of two moving and one quiescent solitons, and repulsion. The most interesting outcomes of the collisions of counter-propagating in-phase moving solitons are merger and 2→3 transformation. On the contrary, out-of-phase collisions generally result in the repulsion of the pulses.

Subjects/Keywords: Gap soliton; Kerr nonlinearity; Bragg grating; coupled mode equations

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APA (6^th Edition):

Hajibaratali, B. (2014). Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity . (Thesis). University of Sydney. Retrieved from http://hdl.handle.net/2123/12080

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hajibaratali, Babak. “Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity .” 2014. Thesis, University of Sydney. Accessed December 08, 2019. http://hdl.handle.net/2123/12080.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hajibaratali, Babak. “Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity .” 2014. Web. 08 Dec 2019.

Vancouver:

Hajibaratali B. Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity . [Internet] [Thesis]. University of Sydney; 2014. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/2123/12080.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hajibaratali B. Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity . [Thesis]. University of Sydney; 2014. Available from: http://hdl.handle.net/2123/12080

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Ottawa

3. Nesrallah, Michael J. Spatio-Temporal Theory of Optical Kerr Nonlinear Instability .

Degree: 2016, University of Ottawa

URL: http://hdl.handle.net/10393/34313

► This work derives a nonlinear optical spatio-temporal instability. It is a perturbative analysis that begins from Maxwell’s equations and its constituent relations to derive a… (more)

Subjects/Keywords: Nonlinear Optics; Kerr Nonlinearity; Light-Matter Interaction; Modulation Instability; Filamentation Instability; Kerr Amplification; Perturbation; Instability Analysis; Maxwell's Equations; Spatio-Temporal

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APA (6^th Edition):

Nesrallah, M. J. (2016). Spatio-Temporal Theory of Optical Kerr Nonlinear Instability . (Thesis). University of Ottawa. Retrieved from http://hdl.handle.net/10393/34313

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nesrallah, Michael J. “Spatio-Temporal Theory of Optical Kerr Nonlinear Instability .” 2016. Thesis, University of Ottawa. Accessed December 08, 2019. http://hdl.handle.net/10393/34313.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nesrallah, Michael J. “Spatio-Temporal Theory of Optical Kerr Nonlinear Instability .” 2016. Web. 08 Dec 2019.

Vancouver:

Nesrallah MJ. Spatio-Temporal Theory of Optical Kerr Nonlinear Instability . [Internet] [Thesis]. University of Ottawa; 2016. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/10393/34313.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nesrallah MJ. Spatio-Temporal Theory of Optical Kerr Nonlinear Instability . [Thesis]. University of Ottawa; 2016. Available from: http://hdl.handle.net/10393/34313

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

4. JosÃ Wally MendonÃa Menezes. AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado.

Degree: PhD, 2010, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4219 ;

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Neste trabalho, a propagaÃÃo e estabilidade de sÃlitons espaÃo-temporais (ou sÃlitons balas) em um guia de onda planar com nÃo linearidade cÃbico quintica periodicamente modulada… (more)

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Neste trabalho, a propagaÃÃo e estabilidade de sÃlitons espaÃo-temporais (ou sÃlitons balas) em um guia de onda planar com nÃo linearidade cÃbico quintica periodicamente modulada Ã apresentada em funÃÃo da amplitude de modulaÃÃo , da freqÃÃncia de modulaÃÃo e da distÃncia de propagaÃÃo . Com o objetivo de garantir a estabilidade e prevenir o colapso ou o espalhamento dos pulsos, exploramos a nÃo-linearidade cÃbico quintica com os campos Ãpticos acoplados por XPM (ModulaÃÃo de Fase Cruzada) e utilizando diversos valores para o parÃmetro nÃo-linear , para as amplitudes e freqÃÃncias de modulaÃÃo em funÃÃo da distÃncia de propagaÃÃo , provocamos a colisÃo de dois pulsos (campos Ãpticos) para garantir que estes sejam realmente sÃlitons e, apÃs estas anÃlises numÃricas, foi possÃvel mostrar a existÃncia de sÃlitons espaÃo-temporais estÃveis. Apresentamos, tambÃm, a anÃlise numÃrica de um acoplador triplo nÃo linear de fibras Ãpticas em uma estrutura planar simÃtrica e operando com o modelo Kerr instantÃneo e relaxado para geraÃÃo de portas lÃgicas Ãpticas. Para implementar estes circuitos, usamos um pulso de controle CP com uma diferenÃa de fase entre as entradas âI1â e âI2â do acoplador e analisamos as caracterÃsticas de transmissÃo, taxa de extinÃÃo em funÃÃo da diferenÃa de fase, a largura normalizada (LN), a figura de mÃrito para portas lÃgicas FOMELG(dB) e a evoluÃÃo dos pulsos ao longo do acoplador e, assim, foi demonstrado as possibilidades para geraÃÃo das portas lÃgicas Ãpticas.

In this work, the propagation and stability of spatiotemporal optical solitons (or optical bullets) in a planar waveguide with periodically modulated cubic-quintic nonlinearity is presented numerically as a function of the amplitudes of modulation , the frequency of modulation and the propagation distance .With the objective of ensure the stability and preventing the collapse or the spreading of pulses, in this study we explore the cubic-quintic nonlinearity with the optical fields coupled by XPM (Cross-Phase Modulation) and take into account several values for the nonlinear parameter , for amplitudes and frequency of modulation as a function of the propagation distance , we cause the collisions of two pulses (envelope of the optical field) to ensure that the optical pulse are sÃlitons and, after numerical analysis was possible shown the existence of stable spatiotemporal optical sÃliton. We also have presented the numerical analysis of the three-core nonlinear fiber coupler in a symmetrical planar structure and operating with instantaneous and relaxed Kerr model for generation of the all-optical logic gates. To implement this optical circuit, we used a control pulse CP with a phase difference between the inputs âI1â and âI2â of the fiber coupler and were analyzed the transmission characteristics, the Extinction Ratio as a function of the phase difference, the length normalized (LN), the figure-of-merit of the logic gates (FOMELG (dB) and the pulse evolution along the fiber coupler and, thus, ensure were demonstrated…

Advisors/Committee Members: AntÃnio SÃrgio Bezerra Sombra.

Subjects/Keywords: NÃo-linearidade cÃbico-quintica; SÃlitons espaÃo-temporais periodicamente modulado; AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES; Acoplador Fibra; Portas lÃgicas Ãpticas; Modelo Kerr instantÃneo e relaxado; Spatiotemporal Solitons Periodically Modulated; Cubic-Quintic Nonlinearity; Fiber Coupler, Optical logic gates; instantaneous and relaxation Kerr model.

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APA (6^th Edition):

Menezes, J. W. M. (2010). AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado. (Doctoral Dissertation). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4219 ;

Chicago Manual of Style (16^th Edition):

Menezes, JosÃ Wally MendonÃa. “AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado.” 2010. Doctoral Dissertation, Universidade Federal do Ceará. Accessed December 08, 2019. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4219 ;.

MLA Handbook (7^th Edition):

Menezes, JosÃ Wally MendonÃa. “AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado.” 2010. Web. 08 Dec 2019.

Vancouver:

Menezes JWM. AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado. [Internet] [Doctoral dissertation]. Universidade Federal do Ceará 2010. [cited 2019 Dec 08]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4219 ;.

Council of Science Editors:

Menezes JWM. AnÃlise de performance de sÃlitons Ãpticos espaÃo-temporais em guia planar com nÃo-linearidade cÃbico quintica periodicamente modulada e circuitos lÃgicos operando nos regimes Kerr instantÃneo e relaxado. [Doctoral Dissertation]. Universidade Federal do Ceará 2010. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=4219 ;

Université Paris-Sud – Paris XI

5. Rolle, Jérémie. Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals.

Degree: Docteur es, Physique, 2014, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2014PA112195

►

Dans cette thèse, nous étudions l’influence d’un plasma non-stationnaire produit par des impulsions laser en régime d’auto-focalisation. Cette auto-focalisation est couplée à des non-linéarités Brillouin… (more)

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Dans cette thèse, nous étudions l’influence d’un plasma non-stationnaire produit par des impulsions laser en régime d’auto-focalisation. Cette auto-focalisation est couplée à des non-linéarités Brillouin pour des impulsions nanosecondes dans les verres de silice. Elle excite différents canaux d’ionisation dans les cristaux de KDP irradiées par des impulsions femtosecondes. Tout d’abord, nous dérivons les équations de propagation des ondes optiques laser et Stokes sujettes à la filamentation due à l’effet Kerr, la rétrodiffusion Brillouin et à la génération de plasma. Dans une deuxième partie, nous présentons des résultats numériques sur la propagation non-linéaire de faisceaux LIL. Ceux-ci révèlent l’importance de la distribution temporelle de l’impulsion pompe dans la compétition entre auto-compression Kerr et la rétrodiffusion Brillouin stimulée. Ces simulations préliminaires permettent de valider le système anti-Brillouin opté pour le LMJ sur la base de faisceaux millimétriques.Dans une troisième partie, nous présentons des résultats théoriques et numériques sur la filamentation d’impulsions nanosecondes opérant dans l’ultraviolet et l’infrarouge. L’influence d’un plasma inertiel sur la dynamique de couplage de deux ondes en contre-propagation est examinée. Dans une configuration à une onde, une analyse variationnelle reproduit les caractéristiques globales d’un équilibre quasi-stationnaire entre auto-compression Kerr et défocalisation plasma. Toutefois, cet équilibre cesse pour faire place à des instabilités modulationnelles induites par rétroaction du plasma sur l’onde de pompe. Nous montrons que des modulations de phase supprimant la rétrodiffusion Brillouin permettent d’inhiber ces instabilités plasma. La robustesse de ces modulations de phase est testée en présence d’un bruit aléatoire dans le profil de l’impulsion laser.Enfin, nous étudions numériquement la dynamique non-linéaire d’impulsions femtosecondes se propageant dans la silice et le KDP. Premièrement, nous montrons que la présence de défauts impliquant moins de photons pour exciter un électron de la bande de valence à la bande de conduction promeut des intensités de filamentation plus élevées. Ensuite, nous comparons la dynamique de filamentation dans la silice avec celle dans un cristal KDP. Le modèle d’ionisation pour le KDP prend en compte la présence de défauts et la dynamique électrons-trous. Nous montrons que la dynamique de propagation dans la silice et le KDP présente des analogies remarquables pour des rapports de puissance incidente sur puissance critique équivalents.La conclusion nous permet de résumer les résultats originaux obtenus dans le cadre de cette thèse et d’en discuter des développements ultérieurs possibles.

In this thesis, we study the role of an inertial plasma reponse produced by laser pulses in self-focusing regime. Self-focusing is coupled with Brillouin nonlinearities for nanosecond pulses in silica glasses. For femtosecond pulses propagating in KDP crystals, self-focusing excites various ionization chanels. First of…

Advisors/Committee Members: Bergé, Luc (thesis director).

Subjects/Keywords: Interaction laser-matière; Endommagement laser; Équation de Schrödinger non-linéaire; Effet Kerr; Auto-focalisation; Filamentation; Multifilamentation; Diffusion Brillouin stimulée; Non-linéarité saturante; Ionisation; Silice; KDP; Laser-matter interaction; Laser-induced damage; Nonlinear Schrödinger equation; Kerr effect; Self-focusing; Filamentation; Multifilamentation; Stimulated Brillouin Scattering; Ionisation; Saturated nonlinearity; Silica; KDP

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Rolle, J. (2014). Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2014PA112195

Chicago Manual of Style (16^th Edition):

Rolle, Jérémie. “Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals.” 2014. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed December 08, 2019. http://www.theses.fr/2014PA112195.

MLA Handbook (7^th Edition):

Rolle, Jérémie. “Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals.” 2014. Web. 08 Dec 2019.

Vancouver:

Rolle J. Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2014. [cited 2019 Dec 08]. Available from: http://www.theses.fr/2014PA112195.

Council of Science Editors:

Rolle J. Étude de la dynamique plasma dans la filamentation laser induite dans les verres de silice en présence de rétrodiffusion Brillouin stimulée et dans les cristaux de KDP : Study of a dynamical plasma response in laser filamentation induced in silica glasses in presence of stimulated Brillouin scattering and in KDP crystals. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2014. Available from: http://www.theses.fr/2014PA112195

6. Taheri, Hossein. Ultrashort pulses in optical microresonators with Kerr nonlinearity.

Degree: PhD, Electrical and Computer Engineering, 2017, Georgia Tech

URL: http://hdl.handle.net/1853/58231

► A frequency comb consists of a number of equidistant discrete frequency tones. Over the last decade, optical frequency combs have become indispensable tools for molecular… (more)

▼ A frequency comb consists of a number of equidistant discrete frequency tones. Over the last decade, optical frequency combs have become indispensable tools for molecular fingerprinting, low-phase-noise and spectrally-pure radio frequency signal synthesis, astronomical spectrograph calibration and search for exoplanets, and frequency metrology and timekeeping. While originally realized by mode-locked lasers, frequency combs have in recent years been generated in high-quality-factor Kerr-nonlinear optical resonators driven by a continuous wave (CW) laser pump. “Microcombs” hold great promise for light-weight, small-footprint, robust, and power-efficient comb sources with larger repetition rates and in frequency regimes not available to mode-locked lasers. In addition to their many practical applications, microcombs provide a rich and flexible platform for the study of nonlinear optical, quantum optical, and nonlinear dynamical phenomena. This thesis focuses on ultrashort pulse generation in Kerr-nonlinear optical microresonators, which arise when the tones of a frequency comb oscillate in synchrony. In this thesis, a new synchronization model for mode locking in parametric frequency combs is introduced, which is also applicable to mode-locked laser systems based on saturable absorbers. A novel technique for deterministic generation of chip-based ultrashort pulses (dissipative cavity Kerr solitons) based on modulating the driving CW pump is devised. The influence of higher-order dispersion on frequency comb generation and stability is investigated. Based on this study, the impact of higher-order dispersion on the transfer of pump power fluctuations to the repetition rate of generated pulses is analyzed. It is also shown that pure fourth-order dispersion supports the generation of Gaussian pulses in microresonators. An important limitation of the well-established split-step Fourier transform method for the theoretical study of microcombs is identified and explained, hinting at the advantages of the alternate approach exploiting coupled-wave equations. Finally, broadband frequency comb generation in the near-infrared regime, based on realistic dispersion-engineered crystalline resonators and with experimentally feasible pump and photodetector parameters is numerically demonstrated. This novel broadband frequency comb is spectrally wide enough for application in rubidium-based optical clocks. Advisors/Committee Members: Adibi, Ali (advisor), Wiesenfeld, Kurt (committee member), Ralph, Stephen (committee member), Trebino, Rick (committee member), Klein, Benjamin (committee member).

Subjects/Keywords: Nonlinear optics; Integrated photonics; Microresonators; Kerr nonlinearity; Solitons; Self-synchronization; Ultrashort optical pulses

…adjective optical for frequency combs). Since the cubic or Kerr nonlinearity is the basic… …things I learned from him, about Kerr combs, presentation, paper writing, life in academia and… …PHASE LOCKING IN KERR-NONLINEAR HYPERPARAMETRIC OSCILLATIONS . . . . . . 37 Introduction… …phenomena. This thesis focuses on ultrashort pulse generation in Kerr-nonlinear optical… …frequency combs of interest to this work are as well commonly referred to as Kerr combs or…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Taheri, H. (2017). Ultrashort pulses in optical microresonators with Kerr nonlinearity. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/58231

Chicago Manual of Style (16^th Edition):

Taheri, Hossein. “Ultrashort pulses in optical microresonators with Kerr nonlinearity.” 2017. Doctoral Dissertation, Georgia Tech. Accessed December 08, 2019. http://hdl.handle.net/1853/58231.

MLA Handbook (7^th Edition):

Taheri, Hossein. “Ultrashort pulses in optical microresonators with Kerr nonlinearity.” 2017. Web. 08 Dec 2019.

Vancouver:

Taheri H. Ultrashort pulses in optical microresonators with Kerr nonlinearity. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/1853/58231.

Council of Science Editors:

Taheri H. Ultrashort pulses in optical microresonators with Kerr nonlinearity. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/58231

University of Southern California

7. Ghozlan, Hassan. Models and information rates for channels with nonlinearity and phase noise.

Degree: PhD, Electrical Engineering, 2015, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/541844/rec/4152

► The dissertation is divided into two parts. ❧ PART 1: Discrete‐time interference channel models are developed for information transmission over optical fiber using wavelength‐division multiplexing.… (more)

▼ The dissertation is divided into two parts. ❧ PART 1: Discrete‐time interference channel models are developed for information transmission over optical fiber using wavelength‐division multiplexing. A set of coupled nonlinear Schroedinger equations (derived from Maxwell's equations) is the corner stone of the models. The first model is a memoryless model that captures the nonlinear phenomena of the cross‐phase modulation but ignores dispersion. The main characteristic of the model is that amplitude variations on one carrier wave are converted to phase variations on another carrier wave, i.e., the carriers interfere with each other through amplitude‐to‐phase conversion. For the case of two carriers, a new technique called interference focusing is proposed where each carrier achieves the capacity pre‐log 1, thereby doubling the pre‐log of 1/2 achieved by using conventional methods. The technique requires neither channel time variations nor global channel state information. For more than two carriers, interference focusing is also useful under certain conditions. The second model captures the nonlinear phenomena of the cross‐phase modulation in addition to dispersion. The dispersion is included by taking into account the group velocity mismatch but ignoring all higher‐order effects of dispersion. Moreover, the model captures the effect of filtering at the receivers. In a 3‐user system, it is shown that all users can achieve the maximum pre‐log factor 1 simultaneously by using interference focusing, a time‐limited pulse and a bank of filters at the receivers, thus exploiting all the available amplitude and phase degrees of freedom. ❧ PART 2: A waveform channel is considered where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise. A discrete‐time channel model that takes into account the effect of filtering on the phase noise is developed. The model is based on a multi‐sample receiver, i.e., an integrate‐and‐dump filter whose output is sampled at a rate higher than the signaling rate. It is shown that, at high Signal‐to‐Noise Ratio (SNR), the multi‐sample receiver achieves a rate that grows logarithmically with the SNR if the number of samples per symbol (also called the oversampling factor) grows with the square‐root of the SNR. Moreover, the pre‐log factor is at least 1/2 in this case, which is achieved by amplitude modulation. The logarithmic behavior of the multi‐sample receiver is a significant improvement over the double‐logarithmic behavior of a matched filter receiver. Numerical simulations are used to compute tight lower bounds on the information rates achieved by the multi‐sample receiver. The numerical simulations show that oversampling at the receiver is beneficial for both strong and weak phase noise at high SNR. The results are compared with results obtained when using other discrete‐time models. Finally, it is shown for an approximate discrete‐time model of the multi‐sample receiver that the capacity pre‐log at high SNR is at least 3/4 if the number of samples per… Advisors/Committee Members: Kramer, Gerhard (Committee Chair), Mitra, Urbashi (Committee Member), Fulman, Jason (Committee Member).

Subjects/Keywords: communication channels; information rates; discrete‐time models; optical fiber; Kerr nonlinearity; cross‐phase modulation; chromatic dispersion; group velocity mismatch; interference focusing; phase noise; Wiener process; oversampling; filtered phase noise; mismatched decoding

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ghozlan, H. (2015). Models and information rates for channels with nonlinearity and phase noise. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/541844/rec/4152

Chicago Manual of Style (16^th Edition):

Ghozlan, Hassan. “Models and information rates for channels with nonlinearity and phase noise.” 2015. Doctoral Dissertation, University of Southern California. Accessed December 08, 2019. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/541844/rec/4152.

MLA Handbook (7^th Edition):

Ghozlan, Hassan. “Models and information rates for channels with nonlinearity and phase noise.” 2015. Web. 08 Dec 2019.

Vancouver:

Ghozlan H. Models and information rates for channels with nonlinearity and phase noise. [Internet] [Doctoral dissertation]. University of Southern California; 2015. [cited 2019 Dec 08]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/541844/rec/4152.

Council of Science Editors:

Ghozlan H. Models and information rates for channels with nonlinearity and phase noise. [Doctoral Dissertation]. University of Southern California; 2015. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/541844/rec/4152

Brno University of Technology

8. Sterkhova, Anna. Modelling of Pulse Propagation in Nonlinear Photonic Structures .

Degree: 2014, Brno University of Technology

URL: http://hdl.handle.net/11012/25358

► V současnosti jsme svědky stále zvyšujících se nároku na rychlost přenosu a zpracování signálu a kapacitu pamet’ových zařízení. Proto se pozornost výzkumných pracovníku zaměřuje k… (more)

▼ V současnosti jsme svědky stále zvyšujících se nároku na rychlost přenosu a zpracování signálu a kapacitu pamet’ových zařízení. Proto se pozornost výzkumných pracovníku zaměřuje k plně optickým zařízením, která by mohla splnit zmíněné požadavky. Jednou z intenzívně zkoumaných možností je využití mikroprstencových optických rezonátoru. Při výzkumu je nutné využít numerických metod, které simulují šíření optického záření v dané struktuře. K tomuto účelu existuje celá rada metod, které se liší v efektivitě výpočtu, použitých aproximacích, i možnostech použití. Cílem této práce bylo vyvinout dvě jednoduché a praktické numerické metody pro modelování šíření pulzního záření v nelineárních vlnovodných strukturách. Přítom bylo požadováno, aby, na rozdíl od obecně známé a často využívané metody konečných diferencí v časové oblasti (FD-TD), bylo možné metody snadno aplikovat při studiu nelineárních struktur založených na mikroprstencových rezonátorech. Proto vyvinuté metody používají některé aproximace, zejména aproximaci pomalu proměnné obálky. Výhodou metod je vysoká rychlost a skromné požadavky na výpočetní zdroje. Obě metody vycházejí ze zkutečnosti, že naprostá většina nelineárních struktur založených na mikroprstencových rezonátorech se skládá ze dvou základních prvku: obyčejných vlnovodu a vlnovodných vazebních clenu. První metoda řeší vázané parciální diferenciální rovnice, které popisují šíření obálky pulzu ve struktuře. Přitom je použito tzv. „up-wind“ schéma vhodné pro parciální diferenciální rovnice popisující šíření vln. Druhá metoda vychází z první; rozdíl je v popisu vazby mezi dvěma vlnovody. Pokud se v první metodě uvažuje realistická vazba rozložená na určité délce, pak druhá metoda je založena na představě vazby nacházející se v jednom místě. Díky tomu je možné integrovat příslušné rovnice a dosáhnout výrazného urychlení výpočtu. Kvazianalytický charakter druhé metody umožňuje dále snadnou klasifikaci různých typu ustálených řešení. Vzhledem k těmto vlastnostem byla druhá metoda využita k výzkumu samovolné generace optických pulzu ve strukturách skládajících se z vázaných prstencových rezonátoru. Obě metody, které byly vyvinuty během této práce, představují rychlé a fyzikálně názorné alternativy k metodě FD-TD, a tak lze očekávat, že mohou hrát důležitou roli při výzkumu nelineárních vlnovodných struktur.; The demand for more effective data-storage and faster signal processing is growing with every day. That is why the attention of the scientists is focused on the all-optical devices, which can improve the above mentioned requirements. Microring optical resonators are among the state of art devices, that are under consideration. There is a variety of numerical techniques to simulate processes occurring while the optical signal propagates in the microring resonator structure. They differ in its calculation effectivity, used approximations and possibilities of application. The aim of this work was to develop two simple and practical numerical methods for simulation of pulse propagation in nonlinear waveguide… Advisors/Committee Members: Petráček, Jiří (advisor).

Subjects/Keywords: optické vlnovody; numerické modelování; integrovaná optika; prstencové rezonátory; vázané rezonanční struktury; teorie vázaných modu; nelineární optika; kerrovská nelinearita; bistabilita; samopulzace; chaos; optical waveguides; numerical modeling; integrated optics; ring resonators; coupled resonant structures; coupled mode theory; nonlinear optics; Kerr nonlinearity; bistability; self-pulsing; chaos

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sterkhova, A. (2014). Modelling of Pulse Propagation in Nonlinear Photonic Structures . (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/25358

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Sterkhova, Anna. “Modelling of Pulse Propagation in Nonlinear Photonic Structures .” 2014. Thesis, Brno University of Technology. Accessed December 08, 2019. http://hdl.handle.net/11012/25358.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Sterkhova, Anna. “Modelling of Pulse Propagation in Nonlinear Photonic Structures .” 2014. Web. 08 Dec 2019.

Vancouver:

Sterkhova A. Modelling of Pulse Propagation in Nonlinear Photonic Structures . [Internet] [Thesis]. Brno University of Technology; 2014. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/11012/25358.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sterkhova A. Modelling of Pulse Propagation in Nonlinear Photonic Structures . [Thesis]. Brno University of Technology; 2014. Available from: http://hdl.handle.net/11012/25358

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

9. IBRAHIM ABDELWAHAB. LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES.

Degree: 2019, National University of Singapore

URL: https://scholarbank.nus.edu.sg/handle/10635/161258

Subjects/Keywords: 2D Ruddlesden-Popper perovskites; optical Kerr nonlinearity; two-photon absorption; third-harmonic generation; ultrafast pump-probe spectroscopy

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

ABDELWAHAB, I. (2019). LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES. (Thesis). National University of Singapore. Retrieved from https://scholarbank.nus.edu.sg/handle/10635/161258

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

ABDELWAHAB, IBRAHIM. “LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES.” 2019. Thesis, National University of Singapore. Accessed December 08, 2019. https://scholarbank.nus.edu.sg/handle/10635/161258.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

ABDELWAHAB, IBRAHIM. “LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES.” 2019. Web. 08 Dec 2019.

Vancouver:

ABDELWAHAB I. LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES. [Internet] [Thesis]. National University of Singapore; 2019. [cited 2019 Dec 08]. Available from: https://scholarbank.nus.edu.sg/handle/10635/161258.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

ABDELWAHAB I. LINEAR AND NONLINEAR OPTICAL STUDIES OF TWO-DIMENSIONAL PEROVSKITES. [Thesis]. National University of Singapore; 2019. Available from: https://scholarbank.nus.edu.sg/handle/10635/161258

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

10. Cho, Yong Hee 1976-. Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors.

Degree: 2011, Texas A&M University

URL: http://hdl.handle.net/1969.1/152436

► In this work we apply the methods of band structure calculation combined with self-consistent treatment of the light-matter interaction to a variety of problems in… (more)

▼ In this work we apply the methods of band structure calculation combined with self-consistent treatment of the light-matter interaction to a variety of problems in bulk semiconductors and semiconductor heterostructures as well as in new optoelectronic devices. In particular, we utilize the 30- and 8-band k ? p band structure calculation methods to study the electronic, magnetic, and optical properties of the diluted magnetic semiconductor, GaMnAs, in the mean-field Zener model. We calculate the anisotropic dielectric response of GaMnAs in the metallic regime and show that our model produces a good agreement with the experimental results of magneto-optical Kerr spectroscopy in the interband transition region. We also discuss the advantages of the 30-band k ? p model for spin-polarized ferromagnetic GaMnAs. We present new methods for calculating electronic states in low-dimensional semiconductor heterostructures based on the real-space Hamiltonian. The formalism provides extreme simplicity of the numerical implementation and superior accuracy of the results. They are applicable to a general n-band k ? p model and specifically tested in the 6-, 8-band k ? p models, and a simple parabolic one band model. The transparency of the new method allows us to investigate the origin and elimination of spurious solutions in the unified manner. Spurious solutions have long been a major issue in low- dimensional band structure calculations. As an application of nonlinear optical interactions in two-dimensional semiconductor heterostructures, we calculate the upper limits on the efficiency of the passive terahertz difference frequency generation based on the intersubband resonant nonlinearity. Our approach incorporates electronic states together with propagating coupled fields through the self-consistent calculation of the Poisson equation, density matrix equations, and coupled wave equations. We develop optimal device geometries and systematically study the device performance as a function of various parameters. The results are compared with a simplified analytic solution. Advisors/Committee Members: Belyanin, Alexey (advisor), Eknoyan, Ohannes (committee member), Kocharovskaya, Olga (committee member), Sinova, Jairo (committee member).

Subjects/Keywords: conversion efficiency; Poisson equation; densty matrix equation; coupled field equations in lossy media; difference frequency generation; terahertz(THz) radiation; self-consistent calculation; resonant nonlinearity; intersubband transition; 8-band k ? p model; envelope function approximation; Fourier grid Hamiltonian method; delta function method; eigen solutions in semiconductor quantum wells; semiconductor heterostructure; low dimensional semiconductor; interband transition; Kerr effect; 30-band k ? p model; GaMnAs; Diluted magnetic semiconductor

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cho, Y. H. 1. (2011). Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/152436

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Cho, Yong Hee 1976-. “Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors.” 2011. Thesis, Texas A&M University. Accessed December 08, 2019. http://hdl.handle.net/1969.1/152436.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Cho, Yong Hee 1976-. “Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors.” 2011. Web. 08 Dec 2019.

Vancouver:

Cho YH1. Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors. [Internet] [Thesis]. Texas A&M University; 2011. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/1969.1/152436.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cho YH1. Electronic States and Optical Transitions in Bulk and Quantum Well Structures of III-V Compound Semiconductors. [Thesis]. Texas A&M University; 2011. Available from: http://hdl.handle.net/1969.1/152436

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

11. Rai, Buddhi M. Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity.

Degree: PhD, Physics, 2012, Western Michigan University

URL: https://scholarworks.wmich.edu/dissertations/70

► Nonlinear modes of electromagnetic fields propagating in photonic crystal systems have been studied by implementing various computer simulation techniques using electromagnetic theory. The fundamentals… (more)

▼ Nonlinear modes of electromagnetic fields propagating in photonic crystal systems have been studied by implementing various computer simulation techniques using electromagnetic theory. The fundamentals of simulation of photonic crystals are analyzed using general purpose methodologies such as the FDTD or PWE methods. Information derived from the underlying physical insights into the systems could be utilized to describe the control mechanisms over the propagation of the modes around impurities in the photonic crystal lattice. The impurities trap the resonantly localized electromagnetic modes having a frequency in a stop band of the photonic crystal, suggesting novel optical controls in the photonic crystal systems. Our focus is on deepening understanding of the nonlinear modes existing within photonic crystal waveguides which interact with the Kerr nonlinearity of the controlling medium; this enables us to reveal specific mechanisms of the nonlinear systems and their potential nonlinear functions and applications. To gain full generality of the nonlinear modes of increasing complexity, we propose a novel theoretical approach, the difference equation waveguide, using Green’s function theory of the non-homogeneous system. The recursive difference equations for the photonic crystal waveguides are solved for the guided modes interacting with multiple bound modes localized on the impurity features. The interest is on the transmissivity of resonant scattering of the nonlinear modes arising from in- or off-channel features formed in Kerr dielectrics in a 2D photonic crystal. Here, the modes display the wide and interesting varieties of behavior present in the system including optical bistability and induced transparency. More interestingly, the transmissions are fully treated for the case in which the field dependence of Kerr dielectric properties, with enhancing nonlinear effects, allows two different frequency waveguide modes to interact with one another by a modulation of the Kerr properties. In this regard, we show the observation of one mode used to model numerically the transmission characteristics of the other, e.g., the propagation of one frequency mode can turn on and off the resonant transmission of the other along the waveguide channel. Advisors/Committee Members: Dr. Arthur R. McGurn, Dr. Thomas Gorczyca, Dr. Alvin Rosenthal.

Subjects/Keywords: Photonic crystal waveguides; Kerr nonlinearity; difference equation waveguide; numerical simulation techniques; nonlinear optical media; waveguide and resonator modes; Atomic, Molecular and Optical Physics; Physics

…of a nonlinear dielectric impurity. The nonlinearity of the Kerr medium allows light to… …the theory or analytical solution for Kerr-type nonlinearity in photonic crystals is not… …modes. Particularly, we analyze the effect of the Kerr nonlinearity in the resonant scattering… …photonic crystal waveguide channel with the embedded Kerr nonlinearity. Chapter VI presents the… …using the FDTD Method . . . . . . . . . 32 3.2 Modeling Kerr Nonlinear FDTD Modes in a 1D…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Rai, B. M. (2012). Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity. (Doctoral Dissertation). Western Michigan University. Retrieved from https://scholarworks.wmich.edu/dissertations/70

Chicago Manual of Style (16^th Edition):

Rai, Buddhi M. “Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity.” 2012. Doctoral Dissertation, Western Michigan University. Accessed December 08, 2019. https://scholarworks.wmich.edu/dissertations/70.

MLA Handbook (7^th Edition):

Rai, Buddhi M. “Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity.” 2012. Web. 08 Dec 2019.

Vancouver:

Rai BM. Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity. [Internet] [Doctoral dissertation]. Western Michigan University; 2012. [cited 2019 Dec 08]. Available from: https://scholarworks.wmich.edu/dissertations/70.

Council of Science Editors:

Rai BM. Modeling Transmission of Photonic Crystal Waveguide Modes Enhanced by Kerr Nonlinearity. [Doctoral Dissertation]. Western Michigan University; 2012. Available from: https://scholarworks.wmich.edu/dissertations/70

University of Queensland

12. Fan, Bixuan. Mesoscopic quantum sensors.

Degree: School of Mathematics and Physics, 2015, University of Queensland

URL: http://espace.library.uq.edu.au/view/UQ:349213

Subjects/Keywords: Quantum superconducting circuit; Transmon; Quantum trajectory; Single photon detection; Cross-kerr nonlinearity; Cavity opto-mechanics; Coupled-resonator induced transparency; Bifurcation; Limit cycle; Weak impulsive force detection; 0206 Quantum Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Fan, B. (2015). Mesoscopic quantum sensors. (Thesis). University of Queensland. Retrieved from http://espace.library.uq.edu.au/view/UQ:349213

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fan, Bixuan. “Mesoscopic quantum sensors.” 2015. Thesis, University of Queensland. Accessed December 08, 2019. http://espace.library.uq.edu.au/view/UQ:349213.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fan, Bixuan. “Mesoscopic quantum sensors.” 2015. Web. 08 Dec 2019.

Vancouver:

Fan B. Mesoscopic quantum sensors. [Internet] [Thesis]. University of Queensland; 2015. [cited 2019 Dec 08]. Available from: http://espace.library.uq.edu.au/view/UQ:349213.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fan B. Mesoscopic quantum sensors. [Thesis]. University of Queensland; 2015. Available from: http://espace.library.uq.edu.au/view/UQ:349213

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

13. Meng, Huan-Ting. Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems.

Degree: PhD, Electrical & Computer Engineering, 2015, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/87997

► In this dissertation, the hardware and API architectures of GPUs are investigated, and the corresponding acceleration techniques are applied on the traditional frequency domain finite… (more)

▼ In this dissertation, the hardware and API architectures of GPUs are investigated, and the corresponding acceleration techniques are applied on the traditional frequency domain finite element method (FEM), the element-level time-domain methods, and the nonlinear discontinuous Galerkin method. First, the assembly and the solution phases of the FEM are parallelized and mapped onto the granular GPU processors. Efficient parallelization strategies for the finite element matrix assembly on a single GPU and on multiple GPUs are proposed. The parallelization strategies for the finite element matrix solution, in conjunction with parallelizable preconditioners are investigated to reduce the total solution time. Second, the element-level dual-field domain decomposition (DFDD-ELD) method is parallelized on GPU. The element-level algorithms treat each finite element as a subdomain, where the elements march the fields in time by exchanging fields and fluxes on the element boundary interfaces with the neighboring elements. The proposed parallelization framework is readily applicable to similar element-level algorithms, where the application to the discontinuous Galerkin time-domain (DGTD) methods show good acceleration results. Third, the element-level parallelization framework is further adapted to the acceleration of nonlinear DGTD algorithm, which has potential applications in the field of optics. The proposed nonlinear DGTD algorithm describes the third-order instantaneous nonlinear effect between the electromagnetic field and the medium permittivity. The Newton-Raphson method is incorporated to reduce the number of nonlinear iterations through its quadratic convergence. Various nonlinear examples are presented to show the different Kerr effects observed through the third-order nonlinearity. With the acceleration using MPI+GPU under large cluster environments, the solution times for the various linear and nonlinear examples are significantly reduced. Advisors/Committee Members: Jin, Jianming (advisor), Jin, Jianming (Committee Chair), Schutt-Ainé, José E. (committee member), Chen, Deming (committee member), Kloeckner, Andreas (committee member).

Subjects/Keywords: Finite-Element Method (FEM); Graphics Processing Unit (GPU); General-purpose computing on graphics processing units (GPGPU); Massive Parallelization; Compute Unified Device Architecture (CUDA); Discontinuous Galerkin Time-Domain Method; discontinuous Galerkin time-domain (DGTD); Element-Level Decomposition; Dual-Field Domain Decomposition; dual-field domain decomposition- element level decomposition (DFDD-ELD); Kerr Nonlinearity; Third-Order Nonlinearity; Nonlinear Optics; Newton-Raphson Method

…nonlinearity optical susceptibility is denoted using the quantity  (3) . The optical Kerr… …incorporation of the third-order Kerr instantaneous nonlinearity into the DGTD algorithm. Specifically… …optical Kerr effect [57]. The nonlinear optical Kerr effect describes the thirdorder… …x5D;-[69], Polstyanko and Lee [65] first implemented a 3-D FEM Kerr-type… …nonlinearity solver in the frequency domain. Brandao and Figueroa [67] used the beam…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Meng, H. (2015). Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/87997

Chicago Manual of Style (16^th Edition):

Meng, Huan-Ting. “Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 08, 2019. http://hdl.handle.net/2142/87997.

MLA Handbook (7^th Edition):

Meng, Huan-Ting. “Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems.” 2015. Web. 08 Dec 2019.

Vancouver:

Meng H. Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/2142/87997.

Council of Science Editors:

Meng H. Investigation of general-purpose computing on graphics processing units and its application to the finite element analysis of electromagnetic problems. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/87997

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Open Access Theses and Dissertations