CAD model of high-T_c superconducting coplanar waveguide resonator on isotropic and anisotropic substrate

摘要

A closed form model of the effective dielectric constant of a coplanar waveguide (CPW) on anisotropic sapphire substrate is derived in a quasistatic approach using a perturbation method and the conformal mapping technique. A CPW high-T_c (HTS) resonator on isotropic and anisotropic substrates was modeled using a surface resistance model, a current distribution model, and a CPW gap model. THe models were verified by measurements of temperat ure dependence of resonant frequency and insertion loss of HTS resonators on sapphire and MgO substrates.