Abstract
This paper continues the investigation of the authors devoted to the axially symmetric problem of short-wave diffraction by prolate bodies of revolution. The paper briefly presents an approach based on a two-scale asymptotic expansion of the Leontovich-Fock parabolic equation and related problems that accomany this expansion. In the case of a strongly elongated body (e.g., the major semiaxis of an ellipsoid of revolution exceeds the minor semiaxis by a factor of >30), the corresponding parabolic equation and all subsequent recurrence equations become singular. In the nonaxisymmetric case, problems arise related to the specific behavior of geodesic lines on the scatterer surface.
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Original Russian Text © M.M. Popov, N.Ya. Kirpichnikova, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 4, pp. 339–346.
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Popov, M.M., Kirpichnikova, N.Y. On problems of applying the parabolic equation to diffraction by prolate bodies. Acoust. Phys. 60, 363–370 (2014). https://doi.org/10.1134/S1063771014040149
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DOI: https://doi.org/10.1134/S1063771014040149