Abstract
A technique is developed for reducing the problem of diffraction by a wedge-shaped inclusion to functional equations in the complex plane. An original formulation of the radiation conditions is proposed that enables one to formulate the diffraction problem in this case. An existence and uniqueness theorem is proven. For the case of a sufficiently small opening span of the angle a formula is derived which is a good approximation to the solution to the problem.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Stekova AN SSSR, Vol. 195, pp. 29–39, 1991.
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Budaev, B.V. Diffraction of a plane electromagnetic wave on a wedge-shaped inclusion. J Math Sci 62, 3068–3075 (1992). https://doi.org/10.1007/BF01095678
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DOI: https://doi.org/10.1007/BF01095678