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Uniform and local asymptotic behavior of the penumbral wave field for diffraction of short waves on a smooth convex contour

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Abstract

Green's formula is applied to construct the asymptotic behavior of the penumbral wave field uniform in angles and in distances for the case of diffraction on a smooth convex contour.

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Literature cited

  1. V. A. Fock, Electromagnetic Diffraction and Propagation Problems, Pergamon (1965).

  2. V. S. Buslaev, “On short-wave asymptotic behavior in the problem of diffraction on convex bodies,” Dokl. Akad. Nauk SSSR,145, No. 4, 753–756 (1962).

    Google Scholar 

  3. W. P. Brown, “On the asymptotic behavior of electromagnetic fields scattered from convex cylinders near grazing incidence,” J. Math. Anal. Appl.,15, No. 2, 355–385 (1966).

    Google Scholar 

  4. V. B. Babich and N. Ya. Kirpichnikova, The Boundary Layer Method in Diffraction Problems [in Russian], Leningrad State Univ. (1974), p. 124.

  5. V. I. Ivanov, “Short-wave asymptotic behavior of the scattering diagram and the total scattering cross section of a smooth convex cylinder,” Zh. Vychisl. Mat. Mat. Fiz.,15, No. 1, 126–135 (1975).

    Google Scholar 

  6. A. Majda, “A representation formula for the scattering operator and the inverse problem for arbitrary bodies,” Commun. Pure Appl. Math.,30, No. 2, 165–194 (1977).

    Google Scholar 

  7. V. N. Smirnov, G. A. Strokovskii, and É. E. Fradkin, “Diffraction of optical electromagnetic waves on metallic cylinders in a case of normal incidence,” Unpublished manuscript VINITI No. 7954-84 Moscow (1984), p. 48.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 34–41, 1985.

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Buldyrev, V.S., Lyalinov, M.A. Uniform and local asymptotic behavior of the penumbral wave field for diffraction of short waves on a smooth convex contour. J Math Sci 38, 1579–1584 (1987). https://doi.org/10.1007/BF01100137

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  • DOI: https://doi.org/10.1007/BF01100137

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