General edge element approach to lossy and dispersive structures in anisotropic media

Abstract

A new functional for general anisotropic 2½D guided-wave structures is derived, based on a rigorous 3D analysis. An impedance boundary condition at the interface between the anisotropic material and the imperfect conducting ground plane is proposed. The computation domain includes the cross-section of the lossy conducting line where the size of the cross-section has the same order as the skin depth, and the standard impedance boundary condition is no longer held. The vector element analysis procedure, and the subspace iteration method, are then used to find the partial or total system modes. Numerical examples of anisotropic dielectric image waveguide, PFEE bilateral fin line, and two coupled asymmetrical dual lossy transmission lines with finite conductivity and finite thickness are presented. Good agreement with previous publications is observed.