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An Inverse Problem of Determining Coefficients in a One-Dimensional Radiative Transport Equation

Published online by Cambridge University Press:  03 June 2015

Nobuyuki Higashimori*
Affiliation:
Faculty of Engineering, Shibaura Institute of Technology, 307 Fukakusa, Minuma, Saitama, Japan
*
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

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References

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