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.