Methods for Electromagnetic Field Analysis (IEEE/OUP Series on Electromagnetic Wave Theory)

This monograph discusses mathematical and conceptual methods used in the analysis of electromagnetic fields and waves. Dyadic algebra is reviewed and armed with new identities to be applied throughout the book. The power of dyadic operations is seen when working with boundary, sheet, and interface conditions, medium equations, field transformations, Green functions, plane wave problems, vector circuit theory, multipole and image sources. Dyadic algebra allows convenience in handling problems involving chiral and bianisotropic media, of recent interest because of their wide range of potential applications. The final chapter gives, for the first time in book form, a unified presentation of EIT, the exact image theory, introduced by this author and colleagues. EIT is a general method for solving problems involving layered media by replacing them through image sources located in complex space. The main emphasis of the monograph is not on specific results but methods of analysis. The work will interest research-level electromagnetic physicists and engineers, and applied mathematicians.