E. A. Alasheeva, I. A. Blatov, M. Yu. Maslov, “Solving of the problem of radiation of the linear structure, located close to the perfectly conducting screen, reduced to the two-dimensional system of Fredholm equations of the first order”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, Issue 2(76),Pages <nobr>13

This article is cited in 1 paper

Mathematics

Solving of the problem of radiation of the linear structure, located close to the perfectly conducting screen, reduced to the two-dimensional system of Fredholm equations of the first order

E. A. Alasheeva^a, I. A. Blatov^b, M. Yu. Maslov^a

^a Dept. of Higher Mathematics, Povolshskaya State Academy of Telecommunications and Computer Science, Samara, 443090, Russia
^b Dept. of Differential Equations and Theories of Control, Samara State University, Samara, 443011, Russia

Abstract: In this paper the mathematical models of two-dimensional perfectly conducting radiating structures on the basis of the device of the two-dimensional integrated equations, and also new algorithm of solving of two-dimensional integral equations to which outer electrodynamic problems for radiating structures are reduced, such as perfectly conducting flat screen, a mirror in the form of parabolic cylinder, a mirror in the form of paraboloid of revolution, excited by elementary electric and magnetic radiators.

Keywords: two-dimensional problems of electrodynamics, integral equations, Galerkin method.

UDC: 519.62

Received: 30.10.2009
Revised: 30.10.2009