Spectral Green's functions for multilayer media in a convenient computational form

The derivation of a simple and numerically efficient spectral Green's-function formulation for multilayer media is presented. From this formulation, the complete set of spectral Green's functions of scalar and vector potentials for a multilayer medium for vertical and horizontal electric as well as magnetic dipoles is obtained. By this method, the spectral functions of multilayer media and their derivatives can be obtained numerically by using a closed-form formula, will remove the necessity of obtaining complicated spectral functions analytically. A number of numerical results are given for verification.