Advances in Time-Domain Computational Electromagnetic Methods (IEEE Press

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About the Editors xvii List of Contributors xxi Preface xxvii Part I Time-Domain Methods for Analyzing Nonlinear Phenomena 1 1 Integration of Nonlinear Circuit Elements into FDTD Method Formulation 3 Joshua M. Kast and Atef Z. Elsherbeni 2 FDTD Method for Nonlinear Metasurface Analysis 33 Xibi Chen and Fan Yang 3 The Finite-Element Time-Domain Method for Dispersive and Nonlinear Media 81 David S. Abraham, Ali Akbarzadeh-Sharbaf, and Dennis D. Giannacopoulos Part II Time-Domain Methods for Multiphysics and Multiscale Modeling 135 4 Discontinuous Galerkin Time-Domain Method in Electromagnetics: From Nanostructure Simulations to Multiphysics Implementations 137 Ming Dong, Liang Chen, Ping Li, Lijun Jiang, and Hakan Bagci 5 Adaptive Discontinuous Galerkin Time-Domain Method for the Modeling and Simulation of Electromagnetic and Multiphysics Problems 199 Su Yan 6 DGTD Method for Periodic and Quasi-Periodic Structures 239 Pengfei Wen, Chao Li, Qiang Ren, and Jiefu Chen Part III Time-Domain Integral Equation Methods for Scattering Analysis 275 7 Explicit Marching-on-in-time Solvers for Second-kind Time Domain Integral Equations 277 Rui Chen, Sadeed B. Sayed, Huseyin A. Ulku, and Hakan Bagci 8 Convolution Quadrature Time Domain Integral Equation Methods for Electromagnetic Scattering 321 Alexandre Dely, Adrien Merlini, Kristof Cools, and Francesco P. Andriulli 9 Solving Electromagnetic Scattering Problems Using Impulse Responses 361 Gaobiao Xiao, Yuyang Hu, Xuezhe Tian, Shifeng Huang, and Rui Liu Part IV Applications of Deep Learning in Time-Domain Methods 395 10 Time-Domain Electromagnetic Forward and Inverse Modeling Using a Differentiable Programming Platform 397 Yanyan Hu, Yuchen Jin, Xuqing Wu, and Jiefu Chen Machine Learning Application for Modeling and Design Optimization of High Frequency Structures 423 Mohamed H. Bakr, Shirook Ali, and Atef Z. Elsherbeni Part V Parallel Computation Schemes for Time-Domain Methods 453 12 Acceleration of FDTD Code Using MATLAB's Parallel Computing Toolbox 455 Alec Weiss, Atef Z. Elsherbeni, Veysel Demir, and Mohammed Hadi 13 Parallel Subdomain-Level Discontinuous Galerkin Time Domain Method 491 Jiamei Mi, Kaiming Wu, Yunfeng Jia, Wei Zhang, and Qiang Ren 14 Alternate Parallelization Strategies for FETD Formulations 525 Amir Akbari, David S. Abraham, and Dennis D. Giannacopoulos Part VI Multidisciplinary Explorations of Time-Domain Methods 557 15 The Symplectic FDTD Method for Maxwell and Schrodinger Equations 559 Zhixiang Huang, Guoda Xie, Xingang Ren, and Wei E.I. Sha 16 Cylindrical FDTD Formulation for Low Frequency Applications 611 Abdullah Algarni, Atef Z. Elsherbeni, and Mohammed Hadi