Simulation of Linear and Nonlinear Characteristics of High-Tc Superconducting Resonators and Filters

A simple closed form model of linear and non-linear response of high-Tc superconducting resonators is proposed. The phenomenological model of the microwave surface impedance is improved by a minimization of the number of fitting parameters. The specified characteristic power is suggested to use as a fitting parameter for description of the non-linear microwave power dependence of the unloaded quality factor of planar resonators: microstrip. coplanar waveguide. and disk resonator. Application of the model to the planar filter design is discussed.