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Embedding Formulas and Singularities in Acoustic Scattering

  • C. M. Linton
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)

Abstract

The solution to the scattering problem for a plane wave incident from an arbitrary angle on an arbitrary configuration of N parallel strips is shown to be related to 2N separate scattering problems for the same geometry, but with different boundary conditions. The number of separate problems that are required is shown to be determined by the number of singularities in the velocity field which in turn is given by the number of strip edges.

Keywords

Diffraction Integral Equation Babinet’s Principle 

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References

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • C. M. Linton
    • 1
  1. 1.Department of Mathematical SciencesLoughborough UniversityLoughboroughUK

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