3-DIMENSIONAL ANALYTICAL ELECTROSTATIC GREENS-FUNCTIONS FOR SHIELDED AND OPEN ARBITRARILY MULTILAYERED MEDIUM STRUCTURES AND THEIR APPLICATION TO ANALYSIS OF MICROSTRIP DISCONTINUITIES

In this paper, we present for the first time two three-dimensional ana lytical electrostatic Green's functions for shielded and open arbitrar ily multilayered medium structures. The analytical formulas for the Gr een's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric l ayers. In combination with the complex image charge method, we demonst rate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capac itance associated with an open-end discontinuity show good agreement w ith those from a previous paper and the effectiveness of using the ana lytical Green's functions to analyze three-dimensional electrostatic p roblems.