Diffraction by Circular Pin: Wiener–Hopf Method
Sautbekov S. Sautbekova M. Bairova G.
October 2025Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2025#13Issue 19
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.
diffraction , eigenfunctions , eigenmodes , electromagnetic wave scattering , singular integral equations , Wiener–Hopf method
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Department of Physics and Technology, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., Almaty, 050040, Kazakhstan
School of Applied Mathematics, Kazakh-British Technical University, Tole bi Str., 59, Almaty, 050005, Kazakhstan
Department of Physics and Technology
School of Applied Mathematics
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