Analysis of high frequency EM-waves diffracted by a finite strip with impedance in anisotropic medium

Abstract

This article presents the rigorous analysis of the EM-plane wave diffraction by a conductible strip of finite length in an anisotropic medium. Leontovich boundary conditions are imposed along the strip to consider the effects of impedance. The presence of geomagnetic field in ionosphere containing cold plasma makes anisotropic medium. Mathematical formulation of this model using Maxwell's equations along with dielectric permittivity of cold plasma gives Helmholtz equation which gets transformed by the application of Fourier transform. Two coupled Wiener–Hopf equations are formulated which are then solved by the standard Wiener–Hopf procedure. The modified stationary phase method is used to find the asymptotic result of separated field in an anisotropic medium. The problem turns out to be for isotropic medium on assigning the particular values to the components of permittivity tensor as under the consideration of large operating frequency as compared to cyclotron frequency while it is of same order with plasma frequency. Graphical analysis is performed to investigate the effects of physical parameter on separated (diffracted by finite plate) field for both isotropic and anisotropic medium.