An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency

We are interested in the localization of defects in non-homogeneous non-absorbing media, with far-field measurements, generated by plane waves. We present here a way to handle the inhomogeneous background problem by the means of a constrained optimization approach; in the lines of the inf criterion...

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Bibliographic Details
Published inInverse problems in science and engineering Vol. 24; no. 7; pp. 1162 - 1185
Main Authors Grisel, Yann, Fourbil, Jèrèmie, Mouysset, Vincent
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.09.2016
Subjects
Constants
defect localization
Defects
Factorization
inhomogeneous media
Inverse acoustic scattering
Localization
Mathematical models
Mathematics
Numerical Analysis
Optimization
Plane waves
Position (location)
Inhomogeneous media
Defects localization
Inverse acoustic scattering
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Summary:We are interested in the localization of defects in non-homogeneous non-absorbing media, with far-field measurements, generated by plane waves. We present here a way to handle the inhomogeneous background problem by the means of a constrained optimization approach; in the lines of the inf criterion from the factorization method for constant backgrounds. We show that both cost function and constraints present a simple form that is easy to compute. They can thus be treated by many well-known optimization methods, and we numerically illustrate four of them.
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ISSN:1741-5977
1741-5985
DOI:10.1080/17415977.2015.1124426