Advances in time-domain computational electromagnetic methods / / edited by Qiang Ren, Su Yan, Atef Z. Elsherbeni

• Record Nr.: UNINA9910830503903321
• Pubbl/distr/stampa: Piscataway, New Jersey ; ; Hoboken, New Jersey : , : IEEE Press : , : Wiley, , [2023]; ©2023
• ISBN: 1-119-80840-5; 1-119-80838-3
• Descrizione fisica: 1 online resource (723 pages)
• Collana: IEEE Press series on electromagnetic wave theory
• Disciplina: 537
• Soggetti: Electromagnetism - Mathematical models; Time-domain analysis; Electromagnetism
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Cover -- Title Page -- Copyright -- Contents -- About the Editors -- List of Contributors -- Preface -- Part I Time‐Domain Methods for Analyzing Nonlinear Phenomena -- Chapter 1 Integration of Nonlinear Circuit Elements into FDTD Method Formulation -- 1.1 Introduction -- 1.2 FDTD Updating Equations for Nonlinear Elements -- 1.2.1 Junction Diode -- 1.2.2 Bipolar Junction Transistors: Small‐Signal Model -- 1.2.3 Bipolar Junction Transistors: Ebers-Moll Model -- 1.2.4 Bipolar Junction Transistors: Gummel-Poon Model -- 1.2.5 Field‐Effect Transistors: Small‐Signal Modeling -- 1.2.6 Field‐Effect Transistors: Large‐Signal Modeling -- 1.3 FDTD-SPICE -- 1.4 Data‐Based Models -- 1.4.1 Linear Lumped Elements: S‐Parameter Approaches -- 1.4.2 Nonlinear Lumped Elements: X‐Parameters -- 1.5 Conclusions -- References -- Chapter 2 FDTD Method for Nonlinear Metasurface Analysis -- 2.1 Introduction to Nonlinear Metasurface -- 2.1.1 What is Nonlinear Metasurface? -- 2.1.2 Material Modeling -- 2.1.2.1 Classical Approach -- 2.1.2.2 Semi‐Classical (Semi‐Quantum) Approach -- 2.1.2.3 Full‐Quantum Approach -- 2.1.3 Computational Methods for NMS Analysis -- 2.2 Fundamentals of Classical Models -- 2.2.1 Carrier Transport Equations -- 2.2.2 Momentum Equations -- 2.2.3 Maxwell‐Hydrodynamic Model -- 2.2.4 ; Simplified Models at Low Frequencies -- 2.2.5 Review and Restrictions -- 2.3 FDTD Analysis -- 2.3.1 Time‐Domain Perturbation Method (TDPM) -- 2.3.2 Numerical Algorithm: FDTD‐TDPM -- 2.3.2.1 Computational Grids -- 2.3.2.2 Linear FDTD Solver -- 2.3.2.3 Extra Nonlinear Current Source -- 2.3.3 Stability Issues -- 2.3.4 Numerical Results and Validations -- 2.3.4.1 Linear Responses -- 2.3.4.2 Nonlinear Responses -- 2.4 Applications -- 2.4.1 Nonlinear Surface Susceptibility Extraction -- 2.4.2 All‐Optical Switch (AOS) -- 2.4.3 Harmonic‐Modulated NMS (HM‐NMS) -- 2.5 Summary.; References -- Chapter 3 The Finite‐Element Time‐Domain Method for Dispersive and Nonlinear Media -- 3.1 Background and Motivation -- 3.2 Dispersive and Nonlinear Media -- 3.2.1 Dispersive Material Models -- 3.2.2 Dispersive Media Modeling Techniques -- 3.2.3 Nonlinear Dielectric Models -- 3.3 Finite‐Element Time‐Domain Formulations -- 3.3.1 Vector Wave Equation Formulation -- 3.3.2 Mixed Formulation -- 3.3.3 Remarks on FETD Formulations -- 3.4 FETD for Dispersive and Nonlinear Media -- 3.4.1 Vector Wave Equation (VWE) Formulation -- 3.4.1.1 Linear Dispersive Media -- 3.4.1.2 Instantaneous Nonlinearity -- 3.4.1.3 Dispersive Nonlinearity -- 3.4.1.4 Numerical Studies -- 3.4.2 Mixed Formulation -- 3.4.2.1 Linear Dispersive Media -- 3.4.2.2 Instantaneous Nonlinearity -- 3.4.2.3 Dispersive Nonlinearity -- 3.4.2.4 Numerical Studies -- 3.4.3 Implementation Issues -- 3.4.3.1 Newton-Raphson Iteration -- 3.4.3.2 Evaluation of Elemental Matrices -- 3.4.3.3 Nonlinear Auxiliary Variable Updating -- 3.5 Stability Analysis -- 3.5.1 Numerical Stability -- 3.5.2 Linear Dispersive Media -- 3.5.3 Nonlinear Media -- 3.6 Conclusion -- References -- Part II Time‐Domain Methods for Multiphysics and Multiscale Modeling -- Chapter 4 Discontinuous Galerkin Time‐Domain Method in Electromagnetics: From Nanostructure Simulations to Multiphysics Implementations -- 4.1 Introduction to the Discontinuous Galerkin Time‐Domain Method -- 4.1.1 The DGTD Formulation for Maxwell's Equations -- 4.1.2 Boundary Conditions -- 4.1.2.1 Absorbing Boundary Conditions (ABCs) -- 4.1.2.2 Boundary Condition on Perfect Electrically Conducting (PEC) Surfaces -- 4.1.2.3 Boundary Condition on Perfect Magnetically Conducting (PMC) Surfaces -- 4.1.3 Hybridization with Time‐Domain Boundary Integral (TDBI) Method -- 4.1.4 Multi‐time Stepping Scheme of the DGTDBI -- 4.1.5 Numerical Examples for the DGTDBI.; 4.1.6 The DGTD Scheme with Nodal Basis Functions -- 4.2 Application of the DGTD Method to Real Problems -- 4.2.1 Graphene‐Based Devices -- 4.2.1.1 A Resistive Boundary Condition to Represent Graphene Within the DGTD Method -- 4.2.1.2 A Resistive Boundary Condition and an Auxiliary Equation Method to Represent Magnetized Graphene Within the DGTD Method -- 4.2.2 Multiphysics Simulation of Optoelectronic Devices -- References -- Chapter 5 Adaptive Discontinuous Galerkin Time‐Domain Method for the Modeling and Simulation of Electromagnetic and Multiphysics Problems -- 5.1 Introduction -- 5.2 Nodal Discontinuous Galerkin Time‐Domain Method -- 5.2.1 High‐Order Spatial Discretization -- 5.2.1.1 Definition of Basis Functions: Modal Basis and Nodal Basis -- 5.2.1.2 Choice of Interpolating Nodes -- 5.2.1.3 Elemental Matrices in the DG Method -- 5.2.2 High‐Order Temporal Discretization -- 5.3 Modeling and Simulation of Electromagnetic-Plasma Interaction -- 5.3.1 Physical Models of EM-Plasma Interactions -- 5.3.2 Numerical Modeling of EM-Plasma Interactions -- 5.4 Dynamic Adaptation Algorithm -- 5.4.1 Dynamic h‐Adaptation -- 5.4.2 Dynamic p‐Adaptation -- 5.5 Multirate Time Integration Technique -- 5.6 Numerical Examples -- 5.6.1 Scattering from a Cone Sphere with a Slot -- 5.6.2 Wave Scattering ; from an Aircraft -- 5.6.3 Plasma Formation and EM Shielding -- 5.6.4 HPM Air Discharge and Formation of Plasma Filamentary Array -- 5.7 Conclusion -- References -- Chapter 6 DGTD Method for Periodic and Quasi‐Periodic Structures -- 6.1 Introduction -- 6.1.1 Background -- 6.1.2 Overview of the Sections -- 6.2 The Subdomain‐Level DGTD Method -- 6.2.1 Discretized System -- 6.2.2 Time Stepping Schemes -- 6.3 Memory‐Efficient DGTD Method for Periodic Structures -- 6.3.1 Discretized System -- 6.3.1.1 Discretized System of Periodic Structures.; 6.3.1.2 Discretized System of Embedded Periodic Structures -- 6.3.2 Time Stepping Schemes -- 6.3.3 Numerical Results -- 6.3.3.1 PEC Cavity with Periodic Structures -- 6.3.3.2 Periodic Patch Antenna Arrays -- 6.4 Memory‐Efficient DGTD Method for Quasi‐Periodic Structures -- 6.4.1 Discretized System -- 6.4.1.1 Discretized System of Quasi‐Periodic Structures -- 6.4.1.2 Discretized System of Embedded Structures -- 6.4.2 Time Stepping Schemes -- 6.4.3 Numerical Results -- 6.4.3.1 PEC Cavity Filled with Quasi‐Periodic Structures -- 6.4.3.2 Patch Antenna Array with Quasi‐Periodic Structures -- 6.5 Conclusions -- References -- Part III Time‐Domain Integral Equation Methods for Scattering Analysis -- Chapter 7 Explicit Marching‐on‐in‐time Solvers for Second‐kind Time Domain Integral Equations -- 7.1 Introduction -- 7.2 TD‐MFIE and Its Discretization -- 7.2.1 Discretization Using RWG Basis Functions -- 7.2.2 Discretization Using the Nyström Method -- 7.3 TD‐MFVIE and Its Discretization Using FLC Basis Functions -- 7.4 Predictor-Corrector Scheme -- 7.5 Implicit MOT Scheme -- 7.6 Comparison of Implicit and Explicit Solutions -- 7.7 Computational Complexity Analysis -- 7.8 Remarks -- 7.9 Numerical Results -- 7.9.1 TD‐MFIE Discretized Using RWG Basis Functions -- 7.9.2 TD‐MFIE Discretized Using the Nyström Method -- 7.9.3 TD‐MFVIE Discretized Using FLC Basis Functions -- 7.10 Conclusion -- References -- Chapter 8 Convolution Quadrature Time Domain Integral Equation Methods for Electromagnetic Scattering -- 8.1 Introduction -- 8.2 Background and Notations -- 8.2.1 Time Domain Integral Equations -- 8.3 Solution Using Convolution Quadrature -- 8.3.1 Laplace Transform -- 8.3.2 Laplace Domain Integral Equations -- 8.3.3 Z‐Transform -- 8.3.4 Runge-Kutta Methods -- 8.3.5 Solution of a Differential Equation Using Runge-Kutta Methods.; 8.3.6 Convolution Quadrature Using Runge-Kutta Methods -- 8.3.7 Discretization of Boundary Integral Equations -- 8.3.7.1 Space Discretization -- 8.3.7.2 Time Discretization -- 8.3.8 Computation of the Interaction Matrices -- 8.3.9 Marching‐on‐in‐Time (MOT) -- 8.3.10 Examples -- 8.3.10.1 Differentiated EFIE -- 8.3.10.2 MFIE -- 8.3.10.3 Differentiated MFIE -- 8.3.10.4 Differentiated CFIE -- 8.4 Implementation Details -- 8.4.1 Building a Time Domain Solver from a Frequency Domain Code: Baseline Implementation of the MOT -- 8.4.2 Choice of the Simulation Parameters -- 8.4.2.1 Choice of the RK Method -- 8.4.2.2 Choice of the Time Step and the Discretization Density -- 8.4.2.3 Choice of the Inverse Z‐Transform Parameters -- 8.5 Acceleration, Preconditioning, and Stabilizations -- 8.5.1 Computational Complexity and Fast Solver Acceleration -- 8.5.1.1 Complexity Analysis of a Naive Implementation -- 8.5.1.2 Acceleration with Fast Solvers -- 8.5.2 Ill‐Conditioning and Instabilities -- 8.5.2.1 Interior Resonances and CFIE -- 8.5.2.2 DC Instability -- 8.5.2.3 Large Time Step Breakdown -- 8.5.2.4 Treatment of the LF Breakdown and DC Instability -- 8.6 Details of the Numerical Examples Used in the Chapter -- 8.7 Conclusions -- References -- Chapter 9 Solving Electromagnetic Scattering Problems Using Impulse Responses -- 9.1 Introduction -- 9.2 Impulse Responses -- 9.3 Behavior at the Interior ; Resonance Frequencies -- 9.4 Impact on MOT Late Time Instability -- 9.5 Analytical Expressions for the Retarded‐Time Potentials -- 9.6 Numerical Verification of Stability Properties -- 9.7 Effect of Impulse Response Truncation -- 9.8 Domain Decomposition Method Based on Impulse Responses -- 9.8.1 TD‐GTM Model -- 9.8.2 TD‐GSIE -- 9.8.3 Numerical Results -- 9.9 Conclusions -- References -- Part IV Applications of Deep Learning in Time‐Domain Methods.; Chapter 10 Time‐Domain Electromagnetic Forward and Inverse Modeling Using a Differentiable Programming Platform.