Integral equations appear in most applied areas and are as important as differential equations. In fact, many problems can be formulated as either a differential or an integral equation. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a growth of interest in this topic in the 1980s due to increased computing power. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics.
Integral Equation Methods for Electromagnetics delves insight into the development and use of integral equation methods for electromagnetic analysis. Developers and practitioners will appreciate the broad-based approach to understanding and utilizing integral equation methods and the unique coverage of historical developments that led to the current development.
Surface integral equation based methods have been widely used for the analysis of electromagnetic (EM) scattering and radiation. Commonly used integral equations for perfectly electrical conductors (PECs) include electric field integral equation (EFIE), magnetic integral equation (MFIE) and combined field integral equation (CFIE) and their modified forms. Algorithms for the numerical solution of continuum electromagnetic field problems are based either on differential or integral formulations. The book examines the special advantages of integral equations over differential equations, explores some of the difficulties involved and suggests that, in the context of more advanced problems.
This book will appeal to students, practitioners as well as academic researchers with a detailed and up-to-date coverage of integral methods in electromagnetics.