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March 2003 Optical Tomography in Two Dimensions
Plamen Stefanov
Methods Appl. Anal. 10(1): 001-010 (March 2003).

Abstract

We consider in two dimensions, the inverse boundary problem of reconstructing the absorption and scattering coefficient of an inhomogeneous medium by probing it with diffuse light. The problem is modeled as an inverse boundary problem for the stationary linear Boltzmann equation. The information is encoded in the albedo operator. We show that we can recover the absorption and the scattering kernel from this information provided that the latter is small in an appropriate topology. We also give stability estimates and propose an approximate reconstruction procedure.

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Plamen Stefanov. "Optical Tomography in Two Dimensions." Methods Appl. Anal. 10 (1) 001 - 010, March 2003.

Information

Published: March 2003
First available in Project Euclid: 16 June 2005

zbMATH: 1084.45006
MathSciNet: MR2014159

Rights: Copyright © 2003 International Press of Boston

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Vol.10 • No. 1 • March 2003
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