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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/s11764-012-0221-2

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1573-8795

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Diffraction by a Grating Consisting of Absorbing S

Authors: A I Korolkov A V Shanin
Publish Date: 2015/03/07
Volume: 206, Issue: 3, Pages: 270-287
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Abstract

The problem of diffraction of a plane wave by a grating consisting of absolutely absorbing screens of different height is studied It is assumed that the angle of incidence is small The problem is considered in the parabolic approximation Edge Green functions are introduced An embedding formula and a spectral equation for the edge Green functions are derived An OEequation for the coefficients of the spectral equation is constructed The latter is solved numerically The evolution equation describing the dependence of the edge Green functions on a geometric parameter the height of the screens is proved Using this equation the asymptotics of the reflection coefficient is calculated for the principal mode

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