Fundamentals of Modern Computational Electromagnetics

Author: Wang Changqing
Publisher:
Publishing Date: 2005-03-01
Features: This book is based on the lecture notes of the same course offered by the author to graduate students at the Department of Electronic Engineering, School of Information Science and Technology, Peking University. It systematically discusses the mathematical and physical foundations of modern computational electromagnetics, reflecting the current development level and trends in the field. The book first provides a comprehensive introduction to this emerging discipline, followed by an overview of the modern electromagnetic field theory of computational electromagnetics, laying a physical foundation for the entire book. One of the key focuses of the book is the finite element method based on differential equations and the moment method based on integral equations, with detailed discussions on the variational principles and the establishment of integral equations for electromagnetic field problems. The time-domain methods for electromagnetic field computation are another key focus of the book, in addition to the finite-difference time-domain (FDTD) method, it also discusses newly developed methods such as the time-domain multi-resolution analysis (TD-MRA), the time-domain finite element method (TD-FEM), and the time-domain integral equation method. Furthermore, the book extensively discusses absorbing boundary conditions and their applications, and summarizes fast solution methods for large-scale linear algebraic equations. The final chapter is dedicated to parallel computing issues to adapt to the new development trends in electromagnetic field computation. The appendix of the book provides an overview of the mathematical foundations of computational electromagnetics for reference. This book can serve as a textbook or teaching reference for graduate students in science and engineering disciplines pursuing master's and doctoral degrees in electromagnetic field theory and computational electromagnetics. It can also be read by scientists and engineers engaged in applied mathematics, applied physics, electromagnetic field engineering, and related fields of research.