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IMA Journal of Applied Mathematics 1968 4(3):233-249; doi:10.1093/imamat/4.3.233
© 1968 by Institute of Mathematics and its Applications
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Scattering of Plane Harmonic Waves in an Infinite Elastic Solid by an Arbitrary Configuration of Two-dimensional Obstacles

P. J. BARRAIT

Department of Mathematics, University of Strathclyde Glasgow, Scotland

The problem of the multiple scattering of plane harmonic waves in an infinite elastic solid by arbitrary configurations of two-dimensional obstacles is considered. Sets of integral equations relating the multiple scattering functions to the single scattering functions are derived. The integral equations are replaced by a set of algebraic equations which are then solved by an iterative procedure. Some results are given for the scattering of a plane harmonic P or SV wave by an identical pair of parallel circular cylindrical cavities.


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