Abstract
A uniform asymptotic high-frequency solution is developed for the problem of diffraction of plane waves by a strip which is soft at one side and hard on the other. The related three-part boundary value problem is formulated into a “modified matrix Wiener-Hopf equation”. By using the known factorization of the kernel matrix through the Daniele-Khrapkov method, the modified matrix Wiener-Hopf equation is first reduced to a pair of coupled Fredholm integral equations of the second kind and then solved by iterations. An interesting feature of the present solution is that the classical Wiener-Hopf arguments yield unknown constants which can be determined by means of the edge conditions.
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Also with Tübitak Marmara Research Center, Department of Mathematics, 41740 Gebze, Kocaeli, Turkey
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Büyükaksoy, A., Alkumru, A. Multiple diffraction of plane waves by a soft/hard strip. J Eng Math 29, 105–120 (1995). https://doi.org/10.1007/BF00051738
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DOI: https://doi.org/10.1007/BF00051738