Lossy model for EM scattering from superconducting film deposited on discretised LaAlO₃ substrate

A lossy model is presented for the electromagnetic scattering from the superconducting film YBa₂Cu₃O_7-x deposited on discretised LaAlO₃ substrate. The model is based on the integral equation using the dyadic Green function. The superconducting film is characterised by an impedance matrix instead of a surface impedance, and the substrate by a complex dielectric constant. The scattering parameters as functions of the operating temperature, the thickness of the superconducting film and the dielectric loss of the substrate are given, which have hitherto not been presented in the literature.