A1 Journal article (refereed), original research

Correlation imaging in inverse scattering is tomography on probability distributions

Publication Details
Authors: Caro Pedro, Helin Tapio, Kujanpää Antti, Lassas Matti
Publisher: IOP Publishing: Hybrid Open Access
Publication year: 2019
Language: English
Related Journal or Series Information: Inverse Problems
Journal name in source: Inverse Problems
Volume number: 35
Issue number: 1
ISSN: 0266-5611
eISSN: 1361-6420
JUFO-Level of this publication: 2
Open Access: Not an Open Access publication
Location of the parallel saved publication: https://arxiv.org/pdf/1805.05747.pdf


Scattering from a non-smooth random field on the time domain is studied
for plane waves that propagate simultaneously through the potential in
variable angles. We first derive sufficient conditions for stochastic
moments of the field to be recovered from empirical correlations between
amplitude measurements of the leading singularities, detected in the
exterior of a region where the potential is almost surely supported. The
result is then applied to show that if two sufficiently regular random
fields yield the same correlations, they have identical laws as
function-valued random variables.

KeywordsInverse problems, partial differential equations, random potential, scattering

Last updated on 2020-20-03 at 10:03

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