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The solution of a mixed boundary value problem in the theory of diffraction

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Summary

An exact solution is obtained for the problem of the diffraction of a cylindrical sound wave by an absorbent semi-infinite plane. The two faces of the half-plane have different impedance boundary conditions. The problem which is solved is a mathematical model for a noise barrier whose surface is treated with two different acoustically absorbent materials.

The usual Wiener-Hopf method (which is the standard technique for solving half-plane problems) has to be modified to give a solution to the present mixed boundary value problem.

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Authors and Affiliations

  1. Department of Mathematics, Brunel University, Uxbridge, Middlesex, England

    A. D. Rawlins

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  1. A. D. Rawlins
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Rawlins, A.D. The solution of a mixed boundary value problem in the theory of diffraction. J Eng Math 18, 37–62 (1984). https://doi.org/10.1007/BF00042898

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  • DOI: https://doi.org/10.1007/BF00042898

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