Efficient Dispersive GSTC-FDTD Algorithm Using the Drude Dispersion Model

Jang, Sangeun; Cho, Jeahoon; Jung, Kyung-Young

doi:10.1109/access.2022.3180505

Cited by 6 publications

(2 citation statements)

References 44 publications

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“…They evaluate the surface polarizations inside an explicit method to solve the GSTCs within a regular Yee-cell-based FDTD solver. More recently, an explicit Drude dispersive model was presented in [19] and an implicit Lorentz model in [12] that was later extended for time-modulated metasurfaces in [20]. Authors in [21] presented a vector fitting procedure to represent a multi-Lorentz susceptibility form in an explicit GSTC-FDTD solver.…”

Section: Introductionmentioning

confidence: 99%

Time-Domain Analysis of Temporally and Spatially Dispersive Metasurfaces in GSTC-FDTD Frameworks

Rahmeier,

Dugan,

Smy

et al. 2024

IEEE Access

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In this paper, we propose two different methods for time-domain finite-difference analysis of uniform temporally and spatially dispersive metasurfaces using their zero-thickness sheet representations using the Generalized Sheet Transition Conditions (GSTCs). Metasurfaces are described here using their effective surface susceptibilities which are assumed to exhibit Lorentzian temporal dispersion characteristics. For both methods, the spatial dispersion of the surface susceptibilities (i.e., their dependence on the angle of incidence) are represented using the extended GSTCs presented in [1]-[3]. However, the first method takes advantage of a polynomial expansion of the angle-dependent surface susceptibilities in terms of the transverse wavevector to implement spatial derivatives of the electric and magnetic polarization as well as the average field on the surface, leading to a coupled set of field equations encompassing the entire surface. Limitations for this method are presented in terms of poor conditioning for a coupled system of equations and an inconvenient extension to the higher-order expansion of the susceptibility terms. The second method lifts these limitations by solving the spatial dispersion problem in the spatial frequency domain at every time step. Both methods are validated for custom Lorentzian models and two canonical physical cells while comparing their transmission and reflection coefficients with analytical results.

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Section: Introductionmentioning

confidence: 99%

Time-Domain Analysis of Temporally and Spatially Dispersive Metasurfaces in GSTC-FDTD Frameworks

Rahmeier,

Dugan,

Smy

et al. 2024

IEEE Access

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“…In [71], authors use a rational polynomial in the temporal frequency domain to represent the surface susceptibilities and then incorporate that representation in a piece-wise linear recursive convolution method, They evaluate the surface polarizations inside an explicit method to solve the GSTCs within a regular Yee-cell-based FDTD solver. More recently, an explicit Drude dispersive model was presented in [72], an implicit Lorentz model in [7] that was later extended for timemodulated metasurfaces in [73]. Authors in [74] presented a vector fitting procedure to represent a multi-Lorentz susceptibility form in an explicit GSTC-FDTD solver.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Modeling of Sub-Wavelength Periodic Structures from Guided-Wave Devices to Metasurface Scatterers

Nizer Rahmeier

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A thesis submitted to the Faculty of Graduate and Postdoctoral Affairs in partial fulfillment of the requirements for the degree of PHILOSOPHIAE DOCTOR, PH. D. (ELECTRICAL AND COMPUTER ENGINEERING) SEPTEMBER 2023 © João Guilherme Nizer Rahmeier, 2023. encouragement have been my driving force. Your belief in me has been a constant source of inspiration, and I am deeply grateful for your presence in my life. To our companion, Max, that kept us happy "passeando no parque" every day (if weather permits)! I am profoundly indebted to my parents, Nubia Cristina Nizer and Dalmir Rubens Rahmeier, who have stood by me since my early years of study as an undergraduate. Your unending support, sacrifices, and belief in my potential have played a pivotal role in shaping my academic journey. Thanks to my brother, Pedro Henrique Nizer Rahmeier, for all the support back home! My thanks go out to my Brazilian friends Carlos and Camila for all their friendship and support and who took care of our beloved Max when my wife and I had to travel abroad, thanks! To my Canadian friends Moh, Joh, Nima, Milad, Titus, and all others who eventually became part of my life for some instant, especially all those volunteering with me in the IEEE Ottawa Young Professional Affinity Group. A special thanks to my colleagues from the research group MARS at Carleton University. Thanks to all my students while TAing for ELEC 2501 and ELEC 2507 every other term during my whole doctorate journey. Thanks to all the professors involved with those courses, especially Prof. Ram Achar, who always supported me when necessary. Thank you all for your camaraderie, intellectual discussions, and collaborative spirit that have enriched my research iii of 162 and life experience immeasurably. A special thanks go to my master's supervisor Dr. Luiz G. Costa Melo, for facilitating and making this Ph.D. possible! Thanks for all the support and guidance over the years! I am truly fortunate to have had the guidance and mentorship of Prof. Dr. Shulabh Gupta, my supervisor, and Prof. Dr. Tom J. Smy, my co-supervisor. Your insights, guidance, and weekly discussions have been instrumental in shaping the direction and depth of my research. Your unwavering availability and dedication have played a significant role in the success of this work. I would also like to express my gratitude to the Faculty of Graduate and Postdoctoral Affairs and the Department of Electronics at Carleton University for the international bursary and the departmental scholarships. Furthermore, I extend my appreciation to the IEEE Antennas and Propagation Society for bestowing upon me the prestigious 2022 IEEE APS Fellowship award. This recognition has not only bolstered my confidence but also affirmed the significance of my research contributions. Furthermore, these opportunities have provided me with the resources and financial support needed to pursue my research goals. In closing, I am humbled by the collective efforts, encouragement, and support that have played a crucial role in the completion of this...

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Nature-inspired metaheuristic optimization algorithms for FDTD dispersion modeling

Park,

Cho,

Jung

2024

AEU - International Journal of Electronics and Communications

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Efficient Dispersive GSTC-FDTD Algorithm Using the Drude Dispersion Model

Cited by 6 publications

References 44 publications

Time-Domain Analysis of Temporally and Spatially Dispersive Metasurfaces in GSTC-FDTD Frameworks

Time-Domain Analysis of Temporally and Spatially Dispersive Metasurfaces in GSTC-FDTD Frameworks

Electromagnetic Modeling of Sub-Wavelength Periodic Structures from Guided-Wave Devices to Metasurface Scatterers

Nature-inspired metaheuristic optimization algorithms for FDTD dispersion modeling

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