A Newly Developed Formulation Suitable for Matrix Manipulation of Layered Medium Green´s Functions

Based on a recently developed formulation of the dyadic Green´s function for layered media (DGLM), this work gives the matrix element representation of the DGLM for general RWG basis functions, including basis functions straddling across different layers and half-RWG basis function attached to an infinite ground plane. It has been rigorously proved that this representation is absent of any undesired line integrals, the same as the popular Michalski-Zheng´s formulation of type C. This work also gives the analytical solution for some typical cylindrically symmetric problems, which can be used to validate any formulation for layered medium problems.