崔铁军, 梁昌洪. Generalization of Born Approximation in One-Dimensional Inverse Scattering[J]. Acta Electronica Sinica, 1993, (9): 59-63.DOI:
一维逆散射中Born近似公式的推广
摘要
本文借助于等效网络方法推广了用于重建3chrodinger方程中势函数的Born近似公式
同时还引入有效重建深度的概念
并导出它和势函数的约束关系。这个关系可作为Born近似及其推广和适用条件。
Abstract
A generalization of Born approximation in one-dimensional inverse scattering is derived by using an equivalent network technique
which is used to reconstruct the potential function of Schrodinger equation.Furthermore
a concept of effective reconstructing depth (ds) is introduced
and a constraint relation between potential function V(x) and ds is obtained.This relation is the applicable condition of Born approximation and its generalization.