Abstract
A simple method is proposed for solving the problems of diffraction of plane sound waves on a half-plane with different-type boundary conditions on its surfaces (the Neumann condition on one surface and the Dirichlet condition on the opposite surface). In contrast to existing techniques, the proposed method allows one to obtain analytical solutions valid near the half-plane edge and at far distances from the edge.
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References
A. D. Rawlins, “The Solution of a Mixed Boundary Value Problem in the Theory of Diffraction by a Semi-Infinite Plane,” Proc. Roy. Soc. London A346 (1647), 469–484 (1975).
J. Meixner, The Behavior of Electromagnetic Fields at Edges, Report EM-72 (New York Univ., New York, 1954).
F. G. Fridlender, Sound Pulses (Cambridge Univ. Press, London, 1958; Inostrannaya Literatura, Moscow, 1962).
H. Bateman and A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953).
M. H. Holmes, Introduction to Perturbation Methods (Springer, New York, 1995).
R. E. Klinger, M. T. McNerney, and I. Busch-Vishniac, Design Guide for Highway Noise Barriers, Report. 0-1471-4 (Univ. of Texas at Austin, Austin, 2003).
D. Hohenwarter, “Railway Noise Propagation Models,” J. Sound Vibr. 141 (3), 17–41 (1990).
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Original Russian Text © M.Sh. Israilov, 2018, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2018, Vol. 73, No. 4, pp. 34–40.
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Israilov, M.S. Diffraction of Plane Sound Waves on a Hard-Soft Half-Plane. Moscow Univ. Mech. Bull. 73, 79–83 (2018). https://doi.org/10.3103/S0027133018040027
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DOI: https://doi.org/10.3103/S0027133018040027