Diffraction by Circular Pin: Wiener–Hopf Method

Seil Sautbekov, Merey Sautbekova () and Gulnara Bairova
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Seil Sautbekov: Department of Physics and Technology, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., Almaty 050040, Kazakhstan
Merey Sautbekova: School of Applied Mathematics, Kazakh-British Technical University, Tole bi Str., 59, Almaty 050005, Kazakhstan
Gulnara Bairova: Department of Physics and Technology, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., Almaty 050040, Kazakhstan

Mathematics, 2025, vol. 13, issue 19, 1-12

Abstract: In this paper, the boundary value problem of wave diffraction on a semi-infinite circular pin is solved using the Wiener–Hopf method with compensation of eigenmodes. The solution to the problem is presented as an infinite series defined by a recurrence formula. The reliability and accuracy of the solution are verified numerically in terms of fulfillment of the law of energy conservation. Sufficiently reliable results are obtained at the first iteration. The method used for solving this problem can be applied to solving diffraction problems on axisymmetric volumetric structures.

Keywords: Wiener–Hopf method; diffraction; singular integral equations; electromagnetic wave scattering; eigenfunctions; eigenmodes (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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