Modeling the passive microwave devices based on planar multilayer anisotropic structures with high-temperature superconductors

Abstract

The electrodynamic properties of an arbitrary multilayer medium, including anisotropic layers and conductors of an arbitrary shape on one of the interfaces, are studied. The conductors represent thin layers of a high-temperature superconductor (HTSC). A system of integral equations for the electric field is solved in the spatial domain. The electrodynamic problem was solved by numerical methods to determine the surface current density by applying the Galerkin procedure and by solving the main matrix equation relative to coefficients of the current density expansion in a basis set of finite functions. The losses in HTSC layers are taken into account by using the concept of the equivalent surface impedance and the Leontovich boundary conditions. The anisotropy is taken into account in determining the Green dyad for a structure with an arbitrary number of anisotropic or isotropic layers. Correctness of the proposed model is confirmed by the results of calculations of the surface current density distribution.