非均匀介质内障碍反散射的Bayes方法

Bayesian Method for Inverse Obstacle Scatteringinside Inhomogeneous Medium

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.