非均匀介质内障碍反散射的Bayes方法

吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (3): 729-733.

非均匀介质内障碍反散射的Bayes方法

尹伟石, 尹运文, 孟品超

长春理工大学理学院, 长春 130022

收稿日期:2021-02-21 出版日期:2022-05-26 发布日期:2022-05-26
通讯作者: 尹伟石 E-mail:yinweishi @foxmail.com

Bayesian Method for Inverse Obstacle Scattering inside Inhomogeneous Medium

YIN Weishi, YIN Yunwen, MENG Pinchao

School of Science, Changchun University of Science and Technology, Changchun 130022, China

Received:2021-02-21 Online:2022-05-26 Published:2022-05-26

摘要/Abstract

摘要： 用Bayes方法同时重构非均匀介质及其内嵌入声软障碍物. 首先, 将非均匀介质和嵌入障碍物参数化, 并给出参数的先验信息; 其次, 用MCMC(Markov chain Monte Carlo)方法以及参数的先验信息求解参数的后验信息; 最后, 通过数值算例验证Bayes方法的可行性和有效性.

关键词: 反散射问题, 非均匀介质, 嵌入障碍物, Bayes方法

Abstract: Bayesian method was used to simultaneously reconstruct inhomogeneous medium and embedded sound-soft obstacle. Firstly, we parameterized inhomogeneous medium and embedded obstacles, and gave a prior information of parameters. Secondly, we used Markov chain Monte Carlo (MCMC) method and a prior information of parameters to solve a posteriori information of parameters. Finally, the feasibility and effectiveness of Bayesian method were verified by some numerical examples.

Key words: inverse scattering problem, inhomogeneous medium, embedded obstacle, Bayesian method

中图分类号:

O422.2

尹伟石, 尹运文, 孟品超. 非均匀介质内障碍反散射的Bayes方法[J]. 吉林大学学报(理学版), 2022, 60(3): 729-733.

YIN Weishi, YIN Yunwen, MENG Pinchao. Bayesian Method for Inverse Obstacle Scattering inside Inhomogeneous Medium[J]. Journal of Jilin University Science Edition, 2022, 60(3): 729-733.

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