Abstract
A model problem of a point source in the field of which there is a screen of variable transparency is considered. The character of the change of transparency of the screen makes it possible to construct an exact solution of the problem by the method of separation of variables. A shortwave asymptotic expression for the wave field is obtained.
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Literature cited
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, Asymptotic Methods in the Theory of Diffraction and Wave Propagation [in Russian], Ryazanskii Radiotekh. Inst., Ryazan' (1975).
V. M. Babich and V. S. Buldyrev, Asymptotic Methods in Problems of the Diffraction of Short Waves [in Russian], Moscow (1972).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 24–32, 1981.
In conclusion, the author thanks V. A. Borovikov for posing the problem and V. M. Babich for assistance with the work.
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Bilyi, I.Y. Diffraction of short waves on a screen of variable transparency. J Math Sci 20, 1760–1765 (1982). https://doi.org/10.1007/BF01119357
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DOI: https://doi.org/10.1007/BF01119357