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Discrete Schrodinger Equations and Their Two Component Wave-Equation Equivalents

机译：离散薛定谔方程及其双分量波动方程等价

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An approach to inverse scattering problems for discrete Schrodinger equations, which are discrete three-term recursions, is presented by systematically transforming them into discrete two-component wave-propagation equations. The wave propagation equations permit the immediate application of certain computationally efficient and physically insighful layer peeling algorithms for inverse scattering. The mapping of three-term recursions of two component evolution equations is one to many, because the relation between the potential sequence parametrizing Schrodinger equations and the reflection coefficient sequence determining local wave interaction is a nonlinear difference equation. This mapping is examined in some detail and it is used to study both direct and inverse scattering problems associated with discrete Schrodinger equations. Reprints. (jhd)

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作者
Bruckstein, A. M.; Kailath, T.;
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年度 1987
页码 p.1-12
总页数 12
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Schrodinger equation; Algorithms; Coefficients; Difference equations; Interactions; Inverse scattering; Nonlinear systems; Reflection; Reprints; Scattering; Sequences; Wave equations;

机译：薛定谔方程;算法;系数;差分方程;相互作用;逆散射;非线性系统;反射;重印;散射;序列;波动方程;

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Discrete Schrodinger Equations and Their Two Component Wave-Equation Equivalents

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