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February  2007, 1(1): 181-188. doi: 10.3934/ipi.2007.1.181

Fourier-Laplace structure of the inverse scattering problem for the radiative transport equation

John C. Schotland 1, and  Vadim A. Markel 2,

1. 

Department of Bioengineering, University of Pennsylvania, Philadelphia, PA, United States
2. 

Department of Radiology, University of Pennsylvania, Philadelphia, PA, United States

Received  October 2006 Published  January 2007

We consider the inverse scattering problem for the radiative transport equation. We show that the linearized form of this problem can be formulated in terms of the inversion of a suitably defined Fourier-Laplace transform. This generalizes a previous result obtained within the diffusion approximation to the radiative transport equation.
Keywords: Inverse scattering, radiative transport..
Mathematics Subject Classification: Primary: 34A55; Secondary: 85A25. .
Citation: John C. Schotland, Vadim A. Markel. Fourier-Laplace structure of the inverse scattering problem for the radiative transport equation. Inverse Problems & Imaging, 2007, 1 (1) : 181-188. doi: 10.3934/ipi.2007.1.181
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