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Computation of corrections to the fock asymptotics for the wave field near a circular cylinder and a sphere

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Abstract

Corrections are computed to the asymptotics of V. A. Fock for diffraction fields in the region of semishadow near surfaces of constant curvature. Numerical computations are carried out to demonstrate the effectiveness of the corrections found in the computation of fields.

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Literature cited

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Authors
  1. V. I. Ivanov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 102–110, 1981.

The present work was carried out during the author's stay at LOMI. The author is grateful to V. M. Babich for the opportunity of the visit, for attention to the work, and for discussion of the results in his seminars.

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Ivanov, V.I. Computation of corrections to the fock asymptotics for the wave field near a circular cylinder and a sphere. J Math Sci 20, 1812–1817 (1982). https://doi.org/10.1007/BF01119363

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  • DOI: https://doi.org/10.1007/BF01119363

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