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Meixner basis functions in the problem of diffraction by a disk

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Abstract

A basis to solve the problem of diffraction by a disk in the axisymmetric case is constructed. A set of functions that satisfy the well-known Meixner condition on an edge, admit of analytical calculation of encountered integrals, and exhibit the orthogonality property in corresponding Hilbert spaces is derived for the first time. A theory of integral equations of diffraction by a disk is developed.

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Authors and Affiliations

  1. Ya. Mudryĭ State University, Sankt-Petersburgskaya ul. 41, Novgorod, 173003, Russia

    S. I. Éminov

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  1. S. I. Éminov
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Original Russian Text © S.I. Éminov, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 3, pp. 96–99.

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Éminov, S.I. Meixner basis functions in the problem of diffraction by a disk. Tech. Phys. 52, 385–388 (2007). https://doi.org/10.1134/S106378420703019X

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  • DOI: https://doi.org/10.1134/S106378420703019X

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