Computer Aided Solution of Vector Field Boundary Value Problems in Three Dimensions

The analysis of many microwave devices, for example, an electromagnetic cavity containing inhomogeneous anisotropic medium, involves the solution of a vector field, boundary value problem in three dimensions. The method of moments (in particular, that of Galerkin or Rayleigh-Ritz) is a well known general technique of field computation. For a region of arbitrary shape, a basic difficulty of the method of moments is the generation of a set of expansion functions that are complete over the region and which converge not only inside the region but also on the boundary. This paper outlines a systematic technique for generating such a set with the aid of a computer.