Two-Dimensional Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking

The concept of scattering coefficients has played a pivotal role in a broad range of inverse scattering and imaging problems in acoustic, and electromagnetic media. In view of their promising applications in inverse problems related to mathematical imaging and elastic cloaking, the notion of elastic scattering coefficients of an inclusion is presented from the perspective of boundary layer potentials and a few properties are discussed. A reconstruction algorithm is developed and analyzed for extracting the elastic scattering coefficients from multi-static response measurements of the scattered field in order to cater to inverse scattering problems. The decay rate, stability and error analyses, and the estimate of maximal resolving order in terms of the signal-to-noise ratio are discussed. Moreover, scattering-coefficients-vanishing structures are designed and their utility for enhancement of nearly elastic cloaking is elucidated.
Publisher
SPRINGER
Issue Date
2017-08
Language
English
Keywords

FULL MAXWELL EQUATIONS; ELECTROMAGNETIC SCATTERING; REFERENCE DATABASE; MATRIX-THEORY; WAVES; FIELDS; FORMULATION; INCLUSION; TENSORS; SHAPE

Citation

JOURNAL OF ELASTICITY, v.128, no.2, pp.203 - 243

ISSN
0374-3535
DOI
10.1007/s10659-017-9624-7
URI
http://hdl.handle.net/10203/225201
Appears in Collection
BiS-Journal Papers(저널논문)
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