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Tabulation of the functions of V. A. Fock

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Abstract

Algorithms of two programs for computing the functions introduced by V. A. Fock are described. Estimates are given of the accuracy of the algorithms applied, and results of numerical computations of Fock functions on the basis of these programs are presented. The application of the programs constructed to compute diffraction fields according to two distinct asymptotic formulas is demonstrated.

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Literature cited

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

  2. V. I. Ivanov, “Uniform asymptotics of the wave field in the reflection of a plane wave by a convex cylinder,” Zh. Vychisl. Mat. Mat. Fiz.,11, No. 1, 164–175 (1971).

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  4. N. A. Logan and K. S. Yee, “A mathematical model for diffraction by convex surfaces,” in: Electromagnetic Waves, Wisconsin (1962).

  5. J. S. C. Miller, The Airy Integral (1946).

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  7. V. A. Il'in and É. G. Poznyak, Foundations of Mathematical Analysis [in Russian], Part 1, Moscow (1971).

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Authors
  1. V. I. Ivanov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 89, pp. 97–111, 1979.

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Ivanov, V.I. Tabulation of the functions of V. A. Fock. J Math Sci 19, 1355–1365 (1982). https://doi.org/10.1007/BF01085025

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  • DOI: https://doi.org/10.1007/BF01085025

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