Diffraction of an electromagnetic wave by gaps between plates
type: Item
instance of: scholarly article
title: Diffraction of an electromagnetic wave by gaps between plates
zbMATH Open document ID: 1280.78003
DOI: 10.1134/S1995080212040051
author: D. N. Tumakov
author: A. R. Tukhvatova
published in: Lobachevskii Journal of Mathematics
publication date: 2013-10-21T00:00:00Z
review text: The solution of the Helmholtz equation, i.e., the simplified version of Maxwell's equations for \(TE\)-polarized electromagnetic wave, is derived for the case of diffraction by metal slots. The authors reduce this diffraction problem to an integral equation with a strongly singular kernel, which is further reduced to an infinite system of linear algebraic equations. Finally, the analytic formula of the solution is represented with respect to generalized Chebyshev polynomials.
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 6217319
zbMATH Keywords: diffraction
zbMATH Keywords: \(TE\)-polarized electromagnetic wave
zbMATH Keywords: hypersingular integral equation
zbMATH Keywords: generalized Chebyshev polynomials
MaRDI profile type: Publication
cites work: Diffraction on a slit: some properties of Schwarzschild's series
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cites work: On a case of numerical solution of integral equations with singularities in the periodic case
description: scientific article; zbMATH DE number 6217319