An inverse scattering method for a 1-D dissipative Helmholtz equation

被引:1
作者
Powell, JO [1 ]
机构
[1] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA
关键词
inverse scattering; trace formulae; dissipative; Helmholtz equation;
D O I
10.1016/S0378-4754(99)00099-3
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this numerical method for simultaneous reconstruction of permittivity and conductivity in the one-dimensional inverse problem for the Helmholtz equation, a system of Riccati equations with trace formulae is derived, then used to propagate reflection and transmission data into the interior of an interval to obtain inhomogeneous material profiles. Numerical results are examined. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.
引用
收藏
页码:473 / 488
页数:16
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