Abstract
The problem of plane wave incidence on a conical obstacle of arbitrary cross section is analyzed. Constructing a solution in the form of a Watson integral and its subsequent investigation allow one to describe a spherical wave scattered by the vertex of the cone. The general scheme is illustrated by examples of diffraction by circular and elliptic cones.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 142–154, 1988.
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Smyshlyaev, V.P. Diffraction of plane waves by conical obstacles. J Math Sci 55, 1747–1757 (1991). https://doi.org/10.1007/BF01098214
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DOI: https://doi.org/10.1007/BF01098214