Theory and Computation of Electromagnetic Fields in Layered Media

Vladimir Okhmatovski, Shucheng Zheng

• Publisher: Wiley-IEEE Press
• Year: 2024
• Print ISBN: 9781119763192
• eBook ISBN: 9781119763208
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Electromagnetism

Explore the algorithms and numerical methods used to compute electromagnetic fields in multi-layered media

In Theory and Computation of Electromagnetic Fields in Layered Media, two distinguished electrical engineering researchers deliver a detailed and up-to-date overview of the theory and numerical methods used to determine electromagnetic fields in layered media. The book begins with an introduction to Maxwell's equations, the fundamentals of electromagnetic theory, and concepts and definitions relating to Green's function. It then moves on to solve canonical problems in vertical and horizontal dipole radiation, describe Method of Moments schemes, discuss integral equations governing electromagnetic fields, and explains the Michalski-Zheng theory of mixed-potential Green's function representation in multi-layered media.

Chapters on the evaluation of Sommerfeld integrals, procedures for far field evaluation, and the theory and application of hierarchical matrices are also included, along with:

• A thorough introduction to free-space Green's functions, including the delta-function model for point charge and dipole current
• Comprehensive explorations of the traditional form of layered medium Green's function in three dimensions
• Practical discussions of electro-quasi-static and magneto-quasi-static fields in layered media, including electrostatic fields in two and three dimensions
• In-depth examinations of the rational function fitting method, including direct spectra fitting with VECTFIT algorithms

Perfect for scholars and students of electromagnetic analysis in layered media, Theory and Computation of Electromagnetic Fields in Layered Media will also earn a place in the libraries of CAD industry engineers and software developers working in the area of computational electromagnetics.

Table of contents

• Cover
• Title Page
• Copyright
• Contents
• About the Authors
• Foreword
• Preface
• Acknowledgments
• Acronyms
• Introduction
• Chapter 1 Foundations of Electromagnetic Theory
• Chapter 2 Green's Functions in Free Space
• Chapter 3 Equivalence Principle and Integral Equations in Layered Media
• Chapter 4 Canonical Problems of Vertical and Horizontal Dipoles Radiation in Layered Media
• Chapter 5 Computation of Fields Via Integration Along Branch Cuts
• Chapter 6 Computation of Fields Via Integration Along Steepest Descent Path
• Chapter 7 Computation of Fields Via Angular Spectral Representation
• Chapter 8 Fields in Spherical Layered Media
• Chapter 9 Mixed‐Potential Integral Equation
• Chapter 10 Discretization of the MPIE with Shape Functions‐based RWG MoM
• Chapter 11 Computation of Incident Field from Electric Dipole Situated in the Far Zone
• Chapter 12 Surface‐Volume–Surface Electric Field Integral Equation
• Chapter 13 Electromagnetic Analysis with Method of Moments in Shielded Layered Media
• Chapter 14 Method of Weighted Averages (Mosig–Michalski Extrapolation Algorithm)
• Chapter 15 Extraction of Quasi‐Static Images
• Chapter 16 Discrete Complex Image Method
• Chapter 17 Extraction of Singular Integrals from MoM Reaction Integrals and Their Analytic Evaluation
• Chapter 18 Methods Based on Rational Function Approximation of Green's Function Spectra
• Appendix A Multivalued Complex Functions, Branch Cuts, and Riemann Surfaces
• Appendix B Evaluation of Singular Integrals
• Appendix C Reduction of Cos–Cos Series to DFT
• Appendix D Properties of Vector Potential and Its Derivatives Near a Sheet of Current
• Appendix E Basis Definitions of Dyadic, Tensor, and Operations with Them
• Appendix F Equivalence Principle for the External Electric Field in Free Space
• Appendix G Physically Consistent Model for the Extraction of Conductance in Lossy Dielectrics
• Appendix H Alternative Expression of Equivalence Principle for the External Magnetic Field
• Appendix I Definition of Inductance and Resistance in Frequency Domain
• Appendix J Integral Equations of Electrostatics in Multi‐Region Scenarios with Free‐Space Green's Functions
• References
• Index
• Ieee Press Series on Electromagnetic Wave Theory
• EULA