Mathematical analysis of electromagnetic radiations diffracted by symmetric strip with Leontovich conditions in an-isotropic medium

Abstract

The current article explores the meticulous analysis of the an-isotropic medium affecting the high-frequency signals diffracted by a conductible finite symmetric strip. A symmetric strip of finite length is considered here with impedance characteristics. The non-thermal plasma in the ionosphere contains a geomagnetic field which makes the surrounding medium as an an-isotropic medium. This idea is devised, mathematically, to analyze the propagation and diffraction pattern of EM-waves in the an-isotropic medium. Maxwell's equations modeled for non-thermal plasma are used to devise the EM-wave equation. Time is executed harmonically throughout the investigation. A coupled system of Wiener–Hopf equations is formulated and kernel functions are put to product decomposition to get the integral form of desired result. This integral form is then coped by employing the modified stationary phase method which yields an asymptotic expression of the separated field in the an-isotropic medium. The model can be turned out into a model for the isotropic medium by allocating the specific numeric values to the parameters controlling the medium. Physical interpretation of the separated field (diffraction by finite symmetric strip) is described for both the an-isotropic as well as the isotropic medium.