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Shortwave scattering by a diffraction echelette-grating

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Abstract

The two-dimensional problem of the scattering of a plane wave by a periodic perfectly conducting grating, an echelette with a right angle, is considered in the case of a high-frequency approximation (the wavelength is assumed to be small as compared with the period of the grating). The situation where the incident plane wave glides along one of the faces of a wedge is discussed. A ray-optical solution of the problem (a shortwave asymptotic result) is derived by the method of summing multiple diffracted fields, which is well known in the geometric theory of diffraction. The main result of this paper consists of obtaining simple formulas for the efficiency en of a diffraction order with maximal value of en, derived in the shortwave approximation. Numerical results are presented, and important optical properties obtained by asymptotic analysis are described. Bibliography: 10 titles.

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Authors
  1. V. V. Zalipaev
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 109–135.

Translated by V. V. Zalipaev.

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Zalipaev, V.V. Shortwave scattering by a diffraction echelette-grating. J Math Sci 102, 4203–4219 (2000). https://doi.org/10.1007/BF02673852

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  • DOI: https://doi.org/10.1007/BF02673852

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