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Title: An interaction theory for scattering by defects in arrays
Authors: Thompson, Ian
Linton, C.M.
Keywords: Arrays
Defects
Scattering
Surface waves
Issue Date: 2008
Publisher: © Society for Industrial and Applied Mathematics
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
Abstract: 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.
Description: 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
Version: Published
DOI: 10.1137/070703144
URI: https://dspace.lboro.ac.uk/2134/4261
ISSN: 0036-1399
Appears in Collections:Published Articles (Maths)

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