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Short-wavelength grazing scattering of a plane wave by a smooth periodic boundary. II. Diffraction by an infinite periodic boundary

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Abstract

The short-wavelength asymptotic behavior of the field near a reflecting boundary (the Fock zone and the neighborhood of the limit ray) is constructed for the problem of the diffraction of a plane wave by a smooth periodic boundary.

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Literature cited

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Authors
  1. V. V. Zalipaev
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  2. M. M. Popov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Seklova AN SSSR, Vol. 173, pp. 60–86, 1990.

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Zalipaev, V.V., Popov, M.M. Short-wavelength grazing scattering of a plane wave by a smooth periodic boundary. II. Diffraction by an infinite periodic boundary. J Math Sci 55, 1685–1705 (1991). https://doi.org/10.1007/BF01098207

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  • DOI: https://doi.org/10.1007/BF01098207

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