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解一維电磁逆散射問題的两种数值方法
引用本文:沈贤能 ,周正欧 ,黄顺吉.解一維电磁逆散射問題的两种数值方法[J].电子科技大学学报(社会科学版),1987(1).
作者姓名:沈贤能  周正欧  黄顺吉
摘    要:本文对两种不同的介质层模型的逆散射问题进行数值求解。第一种是对端接纯导体板的一维离散非均匀介质层求逆,采用的是变尺度参量优化方法,所得到的性能指数数值结果为10~(-7)。第二种是对一维连续非均匀介质层求逆,本文提出是将松弛法引入迭代蛙跃法中,使迭代加速,从而减少迭代次数。计算了几个例子,结果表明,松弛法的引入可使迭代次数减少,在典型例中,迭代次数可减少三倍。

关 键 词:逆散射问题  数值方法  非均匀介质  优化方法  迭代法  松弛法  迭代蛙跃法

TWO NUMERICAL METHODS FOR ONE DIMENSIONAL ELECTROMAGNETIC INVERSE SCATTERING PROBLEM
Sheng Xianneng Zhou Ziengou Huang Shunji.TWO NUMERICAL METHODS FOR ONE DIMENSIONAL ELECTROMAGNETIC INVERSE SCATTERING PROBLEM[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1987(1).
Authors:Sheng Xianneng Zhou Ziengou Huang Shunji
Institution:Sheng Xianneng Zhou Ziengou Huang Shunji
Abstract:The paper calculates inverse scattering problem for two models of inhomogeneous layered media using numerical methods. The first problem is inversion of one dimensional discrete stritified inhomogeneous media terminated by a perfect conductor. Numerical method used in this model is parameter optimization techniques of variable scale The numerical results of performance index are 10~(-7). The second problem is inversion of one dimensional planar, continuously varying media. In this model the relaxation method is introduced to accelerate the iterative leap fiogging procedure. Calculating several examples the results show that the number of iterative time is reduced due to introduction of the relaxation method. In typical examples it can be reduced by three times.
Keywords:inverse scattering problem  numerical methods  inhomogeneous medium  optimization methods  iteration method  relaxation method  iterative leap fiogging procedure
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