Title: Mathematical analysis of electromagnetic radiations diffracted by symmetric strip with Leontovich conditions in an-isotropic medium
Abstract: AbstractThe 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.Keywords: Electromagnetic radiationsan-isotropic mediumWiener-Hopf techniqueLeontovich conditionssurface impedance AcknowledgementsThe authors are immensely grateful to anonymous referees for their insightful comments and suggestions. These comments and suggestions have improved the quality of the article. One of the authors, Sajjad Hussain would also like to show his gratitude to Prof. Dr. Muhammad Ayub, Quaid-i-Azam University, Islamabad, Pakistan, for sharing his pearls of wisdom with me during the course of this research.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia for funding this work through Large Groups Project under grant number RGP.2/206/43.
Publication Year: 2023
Publication Date: 2023-02-08
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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