A NON-ITERATIVE SAMPLING METHOD FOR INVERSE ELASTIC WAVE SCATTERING BY ROUGH SURFACES

被引：2
作者：
Zhu, Tielei [1 ]
Yang, Jiaqing [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2022年 / 16卷 / 04期
关键词：
Inverse scattering; elastic wave; Navier equation; rough surface; sam-pling method; INTEGRAL-EQUATION; DISPLACEMENT; UNIQUENESS; EXISTENCE;
D O I：
10.3934/ipi.2022009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-iterative sampling method is proposed for detecting the rough surface by taking elastic field measurements on a bounded line segment above the surface, based on reconstructing a modified near-field equation associated with a special surface, which generalized our previous work for the Helmholtz equation (SIAM J. Imag. Sci. 10(3) (2017), 1579-1602) to the Navier equation. Several numerical examples are carried out to illustrate the effectiveness of the inversion algorithm.
引用
收藏
页码：997 / 1017
页数：21
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