Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

2015/06/21 by Bal, Guillaume, Chung, Francis J., Schotland, John C.
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Optics (physics.optics)

paper · doi:10.48550/arxiv.1506.06348

Abstract

We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound-modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equation (RTE). A controllability result for the RTE plays an essential role in the analysis.

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