Analysis of Inductance of Anisotropic Superconducting Strip Waveguide at Extremely High Frequency

By using Maxwell's equations and London's equations modified to account for the effect of anisotropy of superconductors as well as the effect of normal conduction current, a field solution is first found for an anisotropic superconducting strip waveguide of finite thickness. The field solution is then used to derive a set of analytical formulas for the calculation of the kinetic inductance and the total inductance per unit length of the anisotropic superconducting strip waveguide. With the aid of the derived formulas, the effects of anisotropy, frequency, and temperature on the inductance of the anisotropic superconducting strip waveguide with a variety of geometric sizes are analysed quantitatively. It will be shown that the effect of anisotropy of superconductors on the inductance of the anisotropic superconducting strip waveguide can be of significance at extremely high frequencies, especially for a waveguide with small inductance dominated by its kinetic inductance.