Mathematical modeling of electromagnetic radiations incident on a symmetric slit with Leontovich conditions in an-isotropic medium

Abstract

This article presents the rigorous analysis of the an-isotropic medium affecting the diffraction process of EM-signals of high frequency by a symmetric slit of finite width. Leontovich boundary conditions for the present model are taken into consideration to show the existence of impedance. The ionosphere having non-thermal plasma contains the geomagnetic field which turns the medium into an an-isotropic medium. The well-known Helmholtz equation for electromagnetic (EM) waves is formulated through Maxwell’s equations with consideration of dielectric permittivity tensor for an an-isotropic medium due to non-thermal plasma. The Fourier transform is employed for the equations formulated for this model and then a pair of Wiener–Hopf equations (coupled form) is devised. These Wiener–Hopf equations are then tackled and an asymptotic method is used to achieve the target. Results for the isotropic medium can be obtained by assigning the values to permittivity elements controlling the medium. Graphical results are sketched for better visualization of the separated field for the an-isotropic medium and isotropic medium as well.