A rigorous full-wave analysis of high TC superconducting circular disc microstrip antenna

Galerkin's method in the vector Hankel transform domain is used for computing the resonant characteristics of a high Tc superconducting circular disc microstrip antenna. The exact Green's function of the grounded dielectric slab is used to derive an electric field integral equation for the unknown current distribution on the circular disc. Thus, surface waves as well as space wave radiation are included in the formulation. London's equations and the two-fluid model of Gorter and Casimir are used in the calculation of the complex surface impedance of the superconducting circular disc. Galerkin's method is then applied to solve the integral equation where the TM and TE modes of cylindrical cavity with magnetic side walls are used in the expansion of the disk current. Numerical results are found to be in good agreement with the theoretical and experimental data available in the literature. Results showing the effect of the temperature on the resonant frequency and half-power bandwidth of the superconducting circular disc are also given.