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

Yann Grisel; Jérémie Fourbil; Vincent Mouysset

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arXiv · 1303.6445

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

Yann Grisel·Jérémie Fourbil·Vincent Mouysset

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Abstract

We are interested in the localization of defects in non-absorbing inhomogeneous media with far-field measurements generated by plane waves. In localization problems, most so-called sampling methods are based on a characterization involving point-sources and the range of some implicitly defined operator. We present here a way to deal with this implicit operator by the means of an optimization approach in the lines of the well-known inf criterion for the factorization method.

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Yann Grisel, Jérémie Fourbil, Vincent Mouysset. 2013-03-26. An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency. https://arxiv.org/abs/1303.6445

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