Some Features of Scattering of a Plane Electromagnetic Wave on a Plane Magnetodielectric Plate

• Published in: Journal of communications technology & electronics Vol. 68; no. 8; pp. 828 - 835
• Main Authors: Borisov, D. A., Skobelev, S. P.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-08-2023; Springer; Springer Nature B.V
• Subjects: Algorithms; Basis functions; Collocation methods; Communications Engineering; Electric waves; Electromagnetic radiation; Electromagnetic waves; Electromagnetism; Engineering; Integral equations; Mathematical analysis; Networks; Refractivity; Scattering; Thickness; TO THE 100th ANNIVERSARY OF B.V. SESTRORETSKII
• ISSN: 1064-2269; 1555-6557
• DOI: 10.1134/S1064226923080041

The two-dimensional problem of scattering of a plane electromagnetic wave on a flat homogeneous magnetodielectric plate of finite dimensions is considered. The problem is solved by the method of integral equations for auxiliary surface currents. Algebraization of integral equations was carried out using the collocation method and overlapping three-step basis functions. The results characterizing the efficiency of the proposed algorithm are presented. The influence of the geometric and material parameters of the plate on its effective scattering surface (ESS) in the direction of wave incidence, which characterizes the effects of “invisibility” of the plate, is studied. It is shown that the minimum of the specified ESS is achieved at a plate thickness close to the thickness that ensures the in-phase geometry of the geometric-optical rays that have passed through the plate and the rays that have passed by the plate. The ESS of a plate made of a material with positive and negative refractive indices is compared.