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An expansion theorem for two-dimensional elastic waves and its application

✍ Scribed by Kun-Chu Chen; Ching-Lung Lin

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
137 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We prove an Atkinson–Wilcox‐type expansion for two‐dimensional elastic waves in this paper. The approach developed on the two‐dimensional Helmholtz equation will be applied in the proof. When the elastic fields are involved, the situation becomes much harder due to two wave solutions propagating at different phase velocities. In the last section, we give an application about the reconstruction of an obstacle from the scattering amplitude. Copyright © 2006 John Wiley & Sons, Ltd.

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