非均匀介质内障碍反散射的Bayes方法  

Bayesian Method for Inverse Obstacle Scatteringinside Inhomogeneous Medium

作　　者：尹伟石[1] 尹运文 孟品超[1] YIN Weishi;YIN Yunwen;MENG Pinchao(School of Science,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学理学院,长春130022

出　　处：《吉林大学学报（理学版）》2022年第3期729-733,共5页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅科学技术研究项目(批准号:JJKH20210797KJ).

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.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.

关 键 词：反散射问题 非均匀介质 嵌入障碍物 BAYES方法 

分 类 号：O422.2[理学—声学]