Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several
years of work. There have been no recent books on integral equation methods. There are books
written on integral equations but either they have been around for a while or they were
written by mathematicians. Much of the knowledge in integral equation methods still resides in
journal papers. With this book important relevant knowledge for integral equations are
consolidated in one place and researchers need only read the pertinent chapters in this book to
gain important knowledge needed for integral equation research. Also learning the fundamentals
of linear elastic wave theory does not require a quantum leap for electromagnetic
practitioners. 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 surge in the interest in this topic in the 1980s (notably the work of
Wilton and his coworkers) due to increased computing power. The interest in this area was on
the wane when it was demonstrated that differential equation methods with their sparse
matrices can solve many problems more efficiently than integral equation methods. Recently
due to the advent of fast algorithms there has been a revival in integral equation methods in
electromagnetics. Much of our work in recent years has been in fast algorithms for integral
equations which prompted our interest in integral equation methods. While previously only
tens of thousands of unknowns could be solved by integral equation methods now tens of
millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in
integral equation methods. Table of Contents: Introduction to Computational Electromagnetics
Linear Vector Space Reciprocity and Energy Conservation Introduction to Integral Equations
Integral Equations for Penetrable Objects Low-Frequency Problems in Integral Equations
Dyadic Green's Function for Layered Media and Integral Equations Fast Inhomogeneous Plane
Wave Algorithm for Layered Media Electromagnetic Wave versus Elastic Wave Glossary of
Acronyms
