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首页> 外文会议>Symposium on Invariant Imbedding and Inverse Problems Albuquerque, New Mexico, April 19-21, 1990. >Numerical Solution of the Inverse Scattering Problem for Hyperbolic Systems of N-Components in Semi-Infinite Media
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Numerical Solution of the Inverse Scattering Problem for Hyperbolic Systems of N-Components in Semi-Infinite Media

机译：半无限介质中N分量双曲系统逆散射问题的数值解

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摘要

In the present paper we describe a time domain algorithm for the numerical reconstruction of the back scattering parameters in a semi-infinite medium. We assume that such systems are governed by hyperbolic equations of n-components, with the emphasis being on the case n > 2, in which case there is more than one reflection parameter to recover at once. The basis for the reconstruction scheme is the time-dependent invariant imbedding equations for the reflection function. We describe a discretization scheme for these equations and an algorithm by use of which the reflection parameters may be recovered. The discretization scheme is based on the method of characteristics, and the algorithm described is a basic extension of the layer-peeling algorithm. An analytic example as well as several numerical examples are presented at the end.
机译：在本文中，我们描述了一种时域算法，用于半无限介质中的反向散射参数的数值重建。我们假设这样的系统受n分量的双曲方程控制，重点是n> 2的情况，在这种情况下，有多个反射参数可以立即恢复。重建方案的基础是反射函数的时变不变嵌入方程。我们描述了这些方程的离散化方案和一种算法，利用该算法可以恢复反射参数。离散化方案基于特征方法，并且所描述的算法是层剥离算法的基本扩展。最后给出了一个解析例子和几个数值例子。

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