Galerkin - Method Calculation of the Propagation Constant in a Gyroelectric Inhomogeneous Waveguide

A Galerkin-method calculation is presented for propagation study in a semiconductor loaded waveguide with transverse magnetization. The surface impedance tensor of the semiconducting plate is first evaluated from transmission-line theory. The boundary conditions on the plate are then expressed through this surface impedance tensor, leading to two coupled Fredholm integral equations with two unknown functions, the longitudinal electric and magnetic fields components. This system is solved for the propagation constant by the Galerkin method. Numerical results are given and compared with preceding results which other authors obtained from Schelkunoff method. The proposed method seems well suited for high mobility, high conductivity semiconductors.