An_interaction_theory_SIAM_Linton.pdf (482.78 kB)
An interaction theory for scattering by defects in arrays
journal contribution
posted on 2009-02-23, 14:32 authored by Ian Thompson, Christopher LintonChristopher LintonWave 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. 1783-1806Publisher
© Society for Industrial and Applied MathematicsVersion
- VoR (Version of Record)
Publication date
2008Notes
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.htmlISSN
0036-1399Language
- en