Research on recovering scattering obstacles in inhomogeneous medium based on Bayesian method

ABSTRACT

In this paper, the problem of acoustic wave scattering by obstacles in the two-dimensional inhomogeneous medium is considered. When the refractive index is a binary function, a hybrid method for reconstructing multiple impenetrable obstacles is proposed. The obstacle number is predicted based on the measured far-field data by using the neural network method. And then, it is used as the prior information of Bayesian method, the shape and position parameters of multiple obstacles are reconstructed using Markov chain Monte Carlo algorithm. The results of numerical experiments show that this method can effectively reconstruct the number, shape and position of obstacles in the inhomogeneous medium.

KEYWORDS:

• Inhomogeneous medium
• inverse obstacle scattering
• bayesian method
• MCMC algorithm

MATHEMATICS SUBJECT CLASSIFICATION:

• 45Q05

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Jilin Natural Science Foundation [No.20220101040JC] and Jilin Provincial Department of Education Project [JJKH20240893KJ, JJKH20240892KJ].