Electromagnetic Symmetry (Electromagnetics Library)

Electromagnetic theory is a classical subject firmly based on the Maxwell equations which, together with the constitutive parameters, in principle lead to a quantitative description of an electromagnetic problem (radiation, scattering and the like). The quantitative description entails the construction of an analytical or numerical solution given the geometry which, for typical diffraction problems, is not an easy task. An equally important question, however, is the reverse problem, which is: what should the geometry (for example, boundary conditions) be to achieve some desired performance (such as antenna pattern, scattering behaviour or bandwith). In some cases the reverse problem has no solution at all. One of the purposes in organizing this book has been to introduce concepts of group theory associated with symmetry to the electromagnetics community, which has for some time now been academically positioned within the larger electrical engineering community. This book is intended to provide a better understanding of electromagnetic theory and a way to synthesize electromagnetic devices with desirable performance features.