Geodesic
Diffraction of the Electromagnetic Wave on System of Parallel Metal Screens
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 38-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper views the problem of diffraction of the two-dimensional $TE$-polarised electromagnetic wave on the metal plates located in two parallel planes. The initial problem is reduced to a system of integral equations with logarithmic singularity in kernels as related to jumps of the magnetic field at transition through metal screens. The received system is solved numerically by a Galerkin method with basic functions — Chebyshev polynoms. Graphics of scattered field energy density have been constructed for diffraction problems on two plates posed nearby and one over the other. The uniqueness theorem of the problem of diffraction in space $\mathrm H_1^{\mathrm{ loc}}(\mathbb{R}^2)$ is proved.
Mots-clés : diffraction
Keywords: $TE$-polarised electromagnetic wave, equation with logarithmic singularity, Galerkin method, Chebyshev polynoms, uniqueness theorem. 
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A. N. Gordeeva; D. N. Tumakov. Diffraction of the Electromagnetic Wave on System of Parallel Metal Screens. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 38-55. http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a3/

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