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T1 - Correlation imaging in inverse scattering is tomography on probability distributions
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UR - http://hdl.handle.net/10138/326782
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A1 - Caro, Pedro; Helin, Tapio; Kujanpää, Antti; Lassas, Matti
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Y1 - 2019
LA - eng
AB - 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 f...
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KW - inverse problems; scattering; random potential; partial differential equations; HAUSDORFF MOMENTS; TIME-REVERSAL; BACKSCATTERING; EQUATION; WAVES; SPACE; 111 Mathematics; 112 Statistics and probability
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