SCATTERING AND INVERSE SCATTERING IN ONE-DIMENSIONAL NONHOMOGENEOUS MEDIA

被引：14
|
作者：
AKTOSUN, T
KLAUS, M
VANDERMEE, C
机构：
[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061
[2] FREE UNIV AMSTERDAM,DEPT PHYS & ASTRON,1007 MC AMSTERDAM,NETHERLANDS
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 05期
关键词：
D O I：
10.1063/1.529650
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the scattering matrix are obtained; the inverse scattering problem of recovering the restoring force when the wave speed and the scattering data are known are also solved.
引用
收藏
页码：1717 / 1744
页数：28
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