求解逆问题的Goldfarb迭代法与遗传算法的比较研究

2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET) Pub Date : 2018-07-01 DOI:10.1109/MMET.2018.8460316

M. Antyufeyeva, D. Batrakov, A. Batrakova, Alexandr V. Antyufeyev

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引用次数: 0

摘要

本文比较分析了反散射问题的各种表述和求解方法。讨论了利用电磁场进行传感的问题。信息参数既可以是单色电磁波的频率，也可以是表征其极化状态的参数，对于平面层状介质，也可以是入射波的角度。重点对Goldfarb法和遗传算法两种方法进行了比较分析。为了进行计算实验，开发了一个软件，允许选择一种方法，从而优化迭代过程的收敛速度。给出了计算实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Comparative Study of the Goldfarb Iterative and the Genetic Algorithm Methods for Solving Inverse Problems

In this paper, a comparative analysis of various approaches to the formulation and solution of inverse scattering problems is given. Problems for sensing with the aid of electromagnetic fields are considered. The informative parameters can be both the frequency of a monochromatic electromagnetic wave and the parameters characterizing its polarization state, and also the angle of the wave incidence for plane-layered media. The main attention is given to the comparative analysis of two methods - the Goldfarb method and the genetic algorithm. For carrying out computational experiments, a software is developed that allows to choose a method and thereby optimize the rate of convergence of the iterative process. The results of computational experiments are presented.

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2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)

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