Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics - Sarris, Costas D.

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Résumé :
This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust ?adaptive meshing? approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.

Biographie:
Costas D. Sarris received a Ph.D. and a M.Sc. in Electrical Engineering, and a M.Sc. in Applied Mathematics from the University of Michigan, Ann Arbor, in 2002, 1998 and 2002, respectively. He also received a Diploma in Electrical and Computer Engineering (with distinction) from the National Technical University of Athens (NTUA), Greece, in 1997. In November 2002, he joined the Edward S. Rogers Sr. Department of Electrical and Computer Engineering (ECE), University of Toronto, Toronto, ON, Canada, where he is currently an Assistant Professor. His research interests are in the area of computational electromagnetics, with emphasis in high-order, mesh-adaptive techniques. He is currently involved with basic research in novel numerical techniques, as well as applications of time-domain analysis to wireless channel modeling, wave-propagation in complex media and meta-materials and electromagnetic compatibility/interference (EMI/EMC) problems. Prof. Sarris has received a number of scholarship distinctions, including Hellenic Fellowship Foundation (1993-1997) and Technical Chamber of Greece (1994-1997) awards for academic excellence and an NTUA 1997 class bronze medal. He received a student paper award in the 2001 International Microwave Symposium for his work on a hybrid FDTD/MRTD numerical scheme, a Canada Foundation for Innovation New Opportunities Fund Award in 2004 and an award for excellence in undergraduate teaching from the Department of Electrical and Computer Engineering, University of Toronto...

Sommaire:
Introduction.- A Numerical Interface Between FDTD and Haar MRTD: Formulation and Applications.- Efficient Implementation of Adaptive Mesh Refinement in the Haar Wavelet-based MRTD Technique.- The Dynamically Adaptive Mesh Refinement (AMR)-FDTD Technique: Theory.- Dynamically Adaptive Mesh Refinement in FDTD: Microwave Circuit Applications.- Dynamically Adaptive Mesh Refinement in FDTD: Optical Applications and Error Estimates.