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Cited by 299

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Imaging and time reversal in random media

Open access
Borcea, Liliana, Papanicolaou, George, Tsogka, Chrysoula·2002·Inverse Problems

Abstract

We present a general method for estimating the location of small, well-separated scatterers in a randomly inhomogeneous environment using an active sensor array. The main features of this method are (i) an arrival time analysis (ATA) of the echo received from the scatterers, (ii) a singular value decomposition of the array response matrix in the frequency domain, and (iii) the construction of an objective function in the time domain that is statistically stable and peaks on the scatterers. By statistically stable we mean here that the objective function is self-averaging over individual realizations of the medium. This is a new approach to array imaging that is motivated by time reversal in random media, analysed in detail previously. It combines features from seismic imaging, like ATA, with frequency-domain signal subspace methodology like multiple signal classification. We illustrate the theory with numerical simulations for ultrasound.

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Metadata

Authors
Borcea, L., Papanicolaou, G., & Tsogka, C.
Venue
Inverse Problems
Published
2002-07-31
Volume
18
Issue
5
Pages
1247-1279
ISSN
0266-5611 (ISSN-L)
OpenAlex
W2151283225
Cited by
299
References
7
FWCI
25.18
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Imaging and time reversal in random media. https://app.cochat.ai/papers/10.1088/0266-5611/18/5/303
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Borcea, L., Papanicolaou, G., & Tsogka, C. (2002). Imaging and time reversal in random media. Inverse Problems. https://doi.org/10.1088/0266-5611/18/5/303

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