Journal article
An approximate method for scattering by thin structures
SIAM journal on applied mathematics, v 66(1), pp 187-205
01 Jan 2005
Abstract
Scattering of waves by a thin structure is considered in this work. The Helmholtz equation with variable coefficient models the wave phenomena. The scatterer is assumed to have a high index of refraction while at the same time it is very small in one of the dimensions. We show that if the index scales as O(1/h), where h is the thickness of the scatterer, then an approximate solution, based on perturbation analysis, can be obtained. The approximate solution consists of a leading order term plus a corrector, each of which solves an integral equation in two dimensions for a three-dimensional problem. We provide error analysis on the approximation. The approximate method can be viewed as an efficient computational approach since it can potentially greatly simplify scattering calculations. Numerical results provide an assessment of the accuracy of the approximate solution.
Metrics
Details
- Title
- An approximate method for scattering by thin structures
- Creators
- S Moskow - University of FloridaF SantosaJ Zhang - Twin Cities Orthopedics
- Publication Details
- SIAM journal on applied mathematics, v 66(1), pp 187-205
- Publisher
- Siam Publications
- Number of pages
- 19
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000233578900009
- Scopus ID
- 2-s2.0-33644593870
- Other Identifier
- 991021863143404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied