Inverse problem in optical diffusion tomography IV Nonlinear inversion formulas
- 1 May 2003
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 20 (5) , 903-912
- https://doi.org/10.1364/josaa.20.000903
Abstract
We continue our study of the inverse scattering problem for diffuse light. In contrast to our earlier work, in which we considered the linear inverse problem, we now consider the nonlinear problem. We obtain a solution to this problem in the form of a functional series expansion. The first term in this expansion is the pseudoinverse of the linearized forward-scattering operator and leads to the linear inversion formulas that we have reported previously. The higher-order terms represent nonlinear corrections to this result. We illustrate our results with computer simulations in model systems.Keywords
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