Topological sensitivity based far-field detection of elastic inclusions

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The aim of this article is to present and rigorously analyze topological sensitivity based algorithms for detection of diametrically small inclusions in an isotropic homogeneous elastic formation using single and multiple measurements of the far-field scattering amplitudes. A L2-cost functional is considered and a location indicator is constructed from its topological derivative. The performance of the indicator is analyzed in terms of the topological sensitivity for location detection and stability with respect to measurement and medium noises. It is established that the location indicator does not guarantee inclusion detection and achieves only a low resolution when there is mode-conversion in an elastic formation. Accordingly, a weighted location indicator is designed to tackle the mode-conversion phenomenon. It is substantiated that the weighted function renders the location of an inclusion stably with resolution as per Rayleigh criterion. © 2017 The Authors
Publisher
ELSEVIER SCIENCE BV
Issue Date
2018-03
Language
English
Article Type
Article
Citation

RESULTS IN PHYSICS, v.8, pp.442 - 460

ISSN
2211-3797
DOI
10.1016/j.rinp.2017.12.041
URI
http://hdl.handle.net/10203/248789
Appears in Collection
AI-Journal Papers(저널논문)
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