Year: 2014
Author: Nobuyuki Higashimori
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 4 : pp. 515–522
Abstract
We consider an inverse problem of determining unknown coefficients for a one-dimensional analogue of radiative transport equation. We show that some combination of the unknown coefficients can be uniquely determined by giving pulse-like inputs at the boundary and observing the corresponding outputs. Our result can be applied for determination of absorption and scattering properties of an optically turbid medium if the radiative transport equation is appropriate for describing the propagation of light in the medium.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.4.s3
Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 4 : pp. 515–522
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Inverse problem radiative transport equation first-order hyperbolic system optical tomography.