Numerical solution of the inverse source problem for the Helmholtz Equation with multiple frequency data

被引：0
|
作者：
Bao, Gang [1 ,2 ]
Lin, Junshan [2 ]
Triki, Faouzi [3 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] Univ Grenoble 1, LJK, F-38041 Grenoble 9, France
来源：
MATHEMATICAL AND STATISTICAL METHODS FOR IMAGING | 2011年 / 548卷
基金：
美国国家科学基金会;
关键词：
MEDIUM SCATTERING PROBLEMS; MAXWELLS EQUATIONS; MAGNETOENCEPHALOGRAPHY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse source problem of the Helmholtz Equation with multiple frequency data is investigated. Three cases are considered: (1) both the magnitude and phase of measurements on the whole boundary (full aperture data) are available; (2) only limited aperture measurements of the field are available; (3) only the magnitude information of the fields on the boundary is available. A continuation method is introduced which can successfully capture both the macro structures and the small scales of the source function. Numerical examples are presented to demonstrate the efficiency of the method.
引用
收藏
页码：45 / +
页数：2
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