Electromagnetic scattering of a plane wave by a perfectly conducting elliptic cylinder near a plane surface. (July 2023)

• Record Type: Journal Article
• Authors: Santini, Carlo; Mangini, Fabio; Frezza, Fabrizio
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 303(2023)
• Publication Date: 2023-07
• Subjects: Electromagnetic scattering -- Elliptic cylinder -- Plane surface -- Spectral domain method -- Plane-wave spectrum -- Mathieu functions; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2023.108585
• Languages: English
• ISSNs: 0022-4073

Abstract

Highlights: We present a rigorous method to evaluate the scattering of a plane electromagnetic wave by a perfectly conducting elliptic cylinder parallel to a generally reflecting plane surface. The solution is based on the Spectral Domain method and the plane-wave expansion of the elliptical cylindrical waves. The surface is characterized by means of a reflection coefficient. The analytical method is implemented in specific computational code to achieve a numerical solution. Results are validated by means of a finite element method commercial software. Validation trials, show good agreement between the two independent computational methodologies. Abstract: In this paper, we present a rigorous analytical and numerical method to evaluate the scattering of a plane electromagnetic wave by an infinite, perfectly conducting elliptic cylinder parallel to a non-perfectly reflecting plane surface. The analytical solution is based on the spectral domain method and the plane-wave expansion of the elliptic cylindrical waves and is applicable in a broad variety of cases in which the properties of the plane surface may be expressed by means of a reflection coefficient. The proposed approach is suitably implemented in a specific computational code to achieve a numerical solution. Results of validation trials, performed by using finite element method commercial software, are provided.