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On High-Frequency Asymptotics in Diffraction by Finite-Length

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Abstract

The paper is concerned with high-frequency diffraction by open finite-length waveguides. The problem is reduced to an integral equation of the first kind over a finite interval, with its kernel depending on the difference of the arguments only. A new asymptotic approach is developed that permits explicit analytical representation of the solution.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Catania, Viale A. Doria n. 6, 95125, Catania, Italy; e-mail

    A. Scalia

  2. Research Institute of Mechanics and Applied Mathematics, Stachki Prospect 200/1, Rostov-on-Don, 344090, Russia; e-mail

    M. A. Sumbatyan

Authors
  1. A. Scalia
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  2. M. A. Sumbatyan
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Scalia, A., Sumbatyan, M.A. On High-Frequency Asymptotics in Diffraction by Finite-Length. Journal of Engineering Mathematics 35, 427–436 (1999). https://doi.org/10.1023/A:1004492427136

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  • DOI: https://doi.org/10.1023/A:1004492427136

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