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

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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

Abstract
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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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