INVARIANT IMBEDDING AND WAVE SPLITTING IN R3 .2. THE GREEN-FUNCTION APPROACH TO INVERSE SCATTERING

被引:42
作者
WESTON, VH
机构
[1] Department of Mathematics, Purdue University, West Lafayette
关键词
D O I
10.1088/0266-5611/8/6/009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The results of a previous paper on invariant imbedding and wave-splitting applied to the wave equation, are extended to the wave-splitting of Green function. The system of equations for the up- and down-going wave components G+ and G- of Green function (associated with a fixed point impulsive source, exterior to the scattering medium) are obtained. The (short-time) asymptotic behaviour of the wave components G+, G- are derived. The application of the system of equations for G+, G- to the layer stripping process is examined, and the consequent utilization of this process to the inverse problem is treated. Some of the problems in the numerical implementation of such a procedure are examined, and remaining additional analysis along these lines, that remains to be investigated, is given.
引用
收藏
页码:919 / 947
页数:29
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