Application of the complete eigenfunction expansion form of the Green's function to a scattering problem

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Abstract

The complete eigenfunction expansion form of the Green's function for elastic layered media developed by the author is applied to a scattering problem. This form of the Green's function is an extension of that presented by Lamb. It clarifies the mathematical common frame between the residue terms and the branch line integrals of the Green's function in terms of the energy integrals and eigenfunctions. The advantage of the usage of the complete eigenfunction expansion form of the Green's function for the scattering problem is in that the possibility of analyzing the the scattering waves in terms of the eigenfunctions for the discrete and continuous spectra defined for the layered medium. Several numerical calculations are carried out to examine the properties of the scattering waves.

Original languageEnglish
Pages (from-to)445-454
Number of pages10
JournalInternational Series on Advances in Boundary Elements
Volume19
Publication statusPublished - 11 Oct 2004
Event26th World Conference on Boundary Elements and Other Mesh Reduction Methods, BEM XXVI - Bologna, Italy
Duration: 19 Apr 200421 Apr 2004

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Keywords

  • Complete eigenfunction expansion form of the Green's function
  • Elastic layered medium
  • Scattering problem

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