Advances in Time-Domain Computational Electromagnetic Methods

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