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An interaction theory for scattering by defects in arrays

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journal contribution
posted on 23.02.2009 by Ian Thompson, Christopher Linton
Wave scattering by an array of bodies that is periodic except for a finite number of missing or irregular elements is considered. The field is decomposed into contributions from a set of canonical problems, which are solved using a modified array scanning method. The resulting interaction theory for defects is very efficient and can be used to construct the field in a large number of different situations. Numerical results are presented for several cases, and particular attention is paid to the amplitude with which surface waves are excited along the array. We also show how other approaches can be incorporated into the theory so as to increase the range of problems that can be solved.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

THOMPSON, I. and LINTON, C.M., 2008. An interaction theory for scattering by defects in arrays. SIAM Journal on Applied Mathematics, 68 (6), pp. 1783-1806

Publisher

© Society for Industrial and Applied Mathematics

Version

VoR (Version of Record)

Publication date

2008

Notes

This journal article was published in the serial, SIAM Journal on Applied Mathematics [© SIAM ] and is also available at: http://epubs.siam.org/SIAP/siap_toc.html

ISSN

0036-1399

Language

en

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