Analysis of the superconducting coplanar waveguide by combining spectral domain method and phenomenological equivalence method

A conductor loss of the high T_c superconducting coplanar waveguide (CPW) is calculated by combining the spectral domain method (SDM) and the phenomenological equivalence method (PEM). An inductance of CPW is calculated by the SDM and the geometric factor is then calculated by using a numerical derivative of the inductance. This calculated geometric factor of the CPW is used in the PEM to calculate the conductor loss. Owing to the combination of the accurate analysis of CPW by SDM and PEM, the merits of two methods are obtained, which are: better accuracy, simple and fast calculation, and applicability to any case of penetration depth compared with the conductor thickness.