Inverse problem in optical diffusion tomography II Role of boundary conditions
- 1 March 2002
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 19 (3) , 558-566
- https://doi.org/10.1364/josaa.19.000558
Abstract
We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. The role of boundary conditions in the derivation of Fourier–Laplace inversion formulas is considered. Boundary conditions of a general mixed type are discussed, with purely absorbing and purely reflecting boundaries obtained as limiting cases. Four different geometries are considered with boundary conditions imposed on a single plane and on two parallel planes and on a cylindrical and on a spherical surface.Keywords
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