Finite difference approach for rigorous full-wave analysis of superconducting microwave structures

A full-wave analysis of superconducting transmission line structures is presented. This approach avoids making any simplifying assumptions regarding the strip thickness and the electromagnetic wave inside the superconductor. The propagation constant and the attenuation constant are obtained rigorously by solving the eigenvalue problem resulting from the discretization of the wave equations using the finite difference method. The corresponding eigenvectors are the possible modes. The current distribution inside the superconducting materials and the electromagnetic fields in the structure can be easily obtained. Results for the propagation characteristics of the microstripline are demonstrated. Slow wave propagation is observed along the microstrip line. The increase of attenuation with temperature and frequency is clearly shown.<>