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.
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页码：279 / 316
页数：38
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