Correlation imaging in inverse scattering is tomography on probability distributions
Analysis of PDEs
2018-12-26 v1 Probability
Abstract
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 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 data, they have identical laws as function-valued random variables.
Cite
@article{arxiv.1805.05747,
title = {Correlation imaging in inverse scattering is tomography on probability distributions},
author = {Pedro Caro and Tapio Helin and Antti Kujanpää and Matti Lassas},
journal= {arXiv preprint arXiv:1805.05747},
year = {2018}
}
Comments
16 pages