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

被引：0

作者：

Chen, Kun-Chu

Lin, Ching-Lung ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Math, Chiayi 62117, Taiwan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2006年 / 29卷 / 15期

关键词：

Atkinson-Wilcox; Helmholtz equation;

D O I：

10.1002/mma.753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (c) 2006 John Wiley & Sons, Ltd.

引用

页码：1849 / 1860

页数：12

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