Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/80510
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Spectral analysis of wave propagation through rows of scatterers via random sampling and a coherent potential approximation |
Author: | Bennetts, L. Peter, M. |
Citation: | SIAM Journal on Applied Mathematics, 2013; 73(4):1613-1633 |
Publisher: | Siam Publications |
Issue Date: | 2013 |
ISSN: | 0036-1399 1095-712X |
Statement of Responsibility: | Luke G. Bennetts and Malte A. Peter |
Abstract: | A method is proposed for determining the modal spectra of waves supported by arrays, which are composed of multiple rows of scatterers randomly disordered around an underlying periodic configuration. The method is applied to the canonical problem of arrays of identical small acoustically soft circular cylinders and disorder in the location of the rows. Two different approaches are adopted to calculate the modes: (i) forming an ensemble average of the modes from individual realizations (loosely: extract information, then average); and (ii) extracting the modes from the ensemble average wave field (loosely: average, then extract information). Differences in the attenuation rates predicted by the two approaches, which cannot be attributed to numerical errors, are found for problems involving multiple wave directions and large disorder. A form of the coherent potential approximation (CPA) is also devised. Comparisons of the CPA to the results given by random sampling show that it gives high accuracy. © 2013 Society for Industrial and Applied Mathematics. |
Keywords: | harmonic waves scattering attenuation coherent potential approximation |
Rights: | © 2013, Society for Industrial and Applied Mathematics |
DOI: | 10.1137/120903439 |
Published version: | http://dx.doi.org/10.1137/120903439 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl_80510.pdf | Published version | 609.86 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.