Inverse scattering in one-dimensional nonconservative media

被引：13

作者：

Aktosun, T ^{[1
]}

Klaus, M

van der Mee, C

机构：

[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA

[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

[3] Univ Cagliari, Dipartimento Matemat, I-09124 Cagliari, Italy

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1998年 / 30卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/BF01195585

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inverse scattering problem arising in wave propagation in one-dimensional nonconservative media is analyzed. This is done in the frequency domain by considering the Schrodinger equation with the potential ikP(x) + Q(x), where k(2) is the energy and P(x) and Q(x) are real integrable functions. Using a pair of uncoupled Marchenko integral equations, P(x) and Q(x) are recovered from an appropriate set of scattering data including bound-state information. Some illustrative examples are provided.

引用

页码：279 / 316

页数：38

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