Time-dependent angularly averaged inverse transport

Details Time-dependent angularly averaged inverse transport Time-dependent angularly averaged inverse transport

2009-02-19

arxiv.org/abs/0902.3432v2

Inverse Problems 25, 7 (2009) 075010

Physics

Mathematical Physics

Scientific paper

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at the boundary of a domain of interest. We show that the absorption coefficient and the spatial component of the scattering coefficient are uniquely determined by such measurements. We obtain stability results on the reconstruction of the absorption and scattering parameters with respect to the measured albedo operator. The stability results are obtained by a precise decomposition of the measurements into components with different singular behavior in the time domain.

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