Two effective post-filtering strategies for improving direct sampling methods

Abstract

In this paper, we introduce two novel strategies to reduce artifacts in the direct sampling type methods (DSM). The newly proposed techniques can essentially reduce the artifacts and provide more accurate and reliable physical profiles of the scatterers compared with the original DSM. The techniques can find wide applications in the inverse scattering problems. Moreover, the novel techniques exhibit several strengths: direct, stable, robust, and ease of implementation.

Keywords:

• Direct sampling method
• post-filtering strategies
• multi-frequency waves

AMS Subject Classifications:

• 35R30
• 45Q05
• 65R32

Acknowledgements

The author would like to thank the anonymous referees for their insightful and constructive comments and Prof. Yang, Jiaqing and Dr. Chow, Yat Tin for their valuable discussions and suggestions, which have led to a clear improvement of the work.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The work of this author was substantially supported by the Shanghai Municipal Education Commission under [grant number 15CG35]; Science and Technology Commission of Shanghai Municipality under [grant number 16PJ1402900]; NNSF of China under [grant number 11401568].