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.

VLADIMIR OKHMATOVSKI, PHD, is a Professor in the Department of Electrical and Computer Engineering at the University of Manitoba in Canada. His research is focused on fast algorithms of electromagnetics, high-performance computing, modeling of interconnects, and inverse problems.

SHUCHENG ZHENG is a Postdoctoral Fellow in the Department of Electrical and Computer Engineering at the University of Manitoba. His current research interests include computational electromagnetics, multi-layered media Green’s functions, high-performance computing, the modeling of high-speed interconnects, and transient analysis of power systems.