J4 ›› 2012, Vol. 50 ›› Issue (06): 1119-1122.

• 数学 • 上一篇    下一篇

多体障碍反散射问题的优化方法

尹伟石1,2, 于占江2, 许金凯2, 孟品超1   

  1. 1. 长春理工大学 理学院, 长春 130022|2. 制导与对抗技术研究所, 长春 130022
  • 收稿日期:2012-04-17 出版日期:2012-11-26 发布日期:2012-11-26
  • 通讯作者: 尹伟石 E-mail:yinweishi@foxmail.com

Numerical Calculation of Multiple Obstacle InverseScattering Problem by Optimization Method

YIN Weishi1,2, YU Zhanjiang2, XU Jinkai2, MENG Pin chao1   

  1. 1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;2. Institute of Guidance and Countermeasure Technology, Changchun 130022, China
  • Received:2012-04-17 Online:2012-11-26 Published:2012-11-26
  • Contact: YIN Weishi E-mail:yinweishi@foxmail.com

摘要:

使用边界积分方程方法与正则化方法求解多体障碍散射问题, 使用优化方法求解多体障碍反散射问题. 由于引入辅助障碍物, 因此散射信息更丰富, 重构效果更好. 数值实验表明, 所给方法优于经典的优化方法.

关键词: 辅助障碍, 反散射, 优化方法, Helmholtz方程

Abstract:

The multiple scattering problem was solved by means of a boundary integral equation method and regularization method, the inverse problem was solved by virtue of optimization method. The introduction of auxiliary obstacle makes scattering information richer and  reconstruction better. Numerical results show the advantages of the method.

Key words: auxiliary obstacles, inverse scattering, optimization method, Helmholtz equation

中图分类号: 

  • O241.82