Claeys, Xavier and Delourme, Bérangère (2013) High order asymptotics for wave propagation across thin periodic interfaces. Asymptotic Analysis, 83 (1-2). pp. 35-82. ISSN 0921-7134. https://resolver.caltech.edu/CaltechAUTHORS:20130703-095653634
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Abstract
This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.
| Item Type: | Article | ||||||
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| Additional Information: | © 2013 IOS Press and the authors. Online Date: Friday, May 17, 2013. | ||||||
| Subject Keywords: | periodic thin interfaces; matched asymptotic expansions; homogenization; Helmholtz equation | ||||||
| Issue or Number: | 1-2 | ||||||
| Record Number: | CaltechAUTHORS:20130703-095653634 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130703-095653634 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 39200 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Jason Perez | ||||||
| Deposited On: | 03 Jul 2013 21:48 | ||||||
| Last Modified: | 03 Oct 2019 05:04 |
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