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

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Abstract

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.

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Schotland, J. C., & Markel, V. A. (2007). Fourier-laplace structure of the inverse scattering problem for the radiative transport equation. Inverse Problems and Imaging, 1(1), 181–188. https://doi.org/10.3934/ipi.2007.1.181

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