Rigorous analysis of a high Tc circular superconducting microstrip patch in a substrate-superstrate geometry

In this paper, the effects of both the anisotropic substrate and isotropic protecting dielectric superstrate loading on the resonance and bandwidth of a high T _c superconducting circular microstrip in a substrate-superstrate configuration are investigated. The problem is rigorously formulated using integral equation, the kernel of which is the full-wave spectral domain dyadic Green's function for multilayer dielectric substrates. Using Galerkin's moment method to solve the integral equation, the complex resonance frequencies are studied with basis functions involving Chebyshev polynomials in conjunction with the complex resistive boundary condition.