DETERMINING AN OBSTACLE BY FAR-FIELD DATA MEASURED AT A FEW SPOTS

被引：1

作者：

Wang, Qi ^{[1
]}

Hou, Yanren ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

来源：

INVERSE PROBLEMS AND IMAGING | 2015年 / 9卷 / 02期

关键词：

Inverse scattering; Helmholtz equation; uniqueness; locating unknown scatterer; LINEAR SAMPLING METHOD; INVERSE; UNIQUENESS;

D O I：

10.3934/ipi.2015.9.591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse scattering problem of determining an acoustic sound-soft obstacle by using the far-field data. It is shown that if the shape of the obstacle is known in advance, then the far-field data measured at four different spots can uniquely determine the location and size of the obstacle. If the shape of the obstacle is unknown, we show that the location of the obstacle can be approximately determined by using the far-field data measured at four appropriately chosen spots.

引用

页码：591 / 600

页数：10

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