Boundary element method for dielectric resonators and waveguides

A general mode‐matching or boundary element method is described for formulating the eigenvalue problem associated with dielectric resonators and waveguides. The method is based on the use of dyadic Green's functions for which various different forms can be chosen. These different choices and the resultant computational advantages are discussed. The method is applied to the problems of a cylindrical dielectric resonator and a rectangular dielectric waveguide. It is shown that very accurate values of the dominant mode eigenvalue can be obtained using only a few global basis functions.