The analysis of scattering of electromagnetic waves in inhomogeneousthree-dimensional bounded media is extremely important from boththeoretical and practical viewpoints, and constitutes the core family ofproblems in electromagnetics.
In this monograph the following fundamental topics relating to theseproblems are considered: mathematical problems and methods related tothe scattering of electromagnetic waves by inhomogeneousthree-dimensional anisotropic bodies and their reduction to volumesingular integral equations; iteration techniques for solving linearoperator equations; and efficient methods for solving volume integralequations that employ iteration procedures. Nowadays, volume singularintegral equations are widely used as an efficient tool of numericalsolution to the problems of complicated three-dimensional structures.
Analysis of integral equations and corresponding scattering problems,including nonclassical ones, is performed in the general formulation.The necessary and sufficient conditions that provide fulfilment of theNoether property of operators and sufficient conditions for the Fredholmproperty are obtained. Existence and uniqueness theorems for scatteringproblems considered in both classical and nonclassical settings areproved. Much attention is given to iteration techniques and developmentof corresponding computational algorithms.
This monograph will be of interest to researchers in electromagnetics,integral equations, iteration methods and numerical analysis both inacademia and industry.
2001; x+102 pages ISBN 90-6764-336-X Price (all prices are subject to change without notice): EUR 86/US$ 123
