An Efficient Application of the Discrete Complex Image Method for Quasi-3-D Microwave Circuits in Layered Media

An efficient means of evaluating reactions arising from the mixed-potential integral equation for layered media for quasi-3D microwave circuits is presented. Analytical formulations for the z-integration in the spectral domain are derived, thus avoiding expensive 2D evaluation and interpolation of the layered Green's function. In this paper, closed-form formulations for the resultant Sommerfeld integrals are evaluated via the robust two-step discrete complex image method. The overall computational time can consequently be greatly reduced when analyzing quasi-3D circuits in layered media using the proposed method.