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ABSTRACT
We consider an interior inverse scattering problem of reconstructing the shape of an elastic cavity. We prove a reciprocity relation for the scattered elastic field and a uniqueness theorem for the inverse problem. Then we employ the decomposition method to determine the boundary of the cavity and present some convergence results. Numerical examples are provided to show the viability of the method.
Acknowledgments
The work of FZ was supported by NSFC grants (11501063, 11771068), the Chongqing Research Program of Basic Research and Frontier Technology (CSTC2017JCYJAX0294).
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The work of FZ was supported by NSFC grants [11501063, 11771068], the Chongqing Research Program of Basic Research and Frontier Technology [CSTC2017JCYJAX0294].