Abstract

In this paper, an approximate analytical method for calculating the surface impedance of superconducting thin film is presented. This method is based on Maxwell equations, vector identities, stoke theorem, Gauss theorem, differential operations in various coordinates and poynting theorem analysis for an approximate model of the current distribution in a superconductor thin film. The physical basis for the approximate analytical treatment leading to the calculation of the surface impedance is described. The mathematical details of the calculation are also given. The obtained results are presented in analytical and graphical form. The computer simulation results are verified by comparison with results using surface impedance formula based on the Mattis-Bardeen equations, which based on the Bardeen Cooper Schrieffer theory.

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