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

John C. Schotland | Zendy; Vadim A. Markel | Zendy

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

Author(s) -

John C. Schotland,

Vadim A. Markel

Publication year - 2007

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2007.1.181

Subject(s) - radiative transfer , laplace transform , fourier transform , inverse scattering transform , inverse problem , inverse laplace transform , scattering , convection–diffusion equation , mathematical analysis , diffusion equation , inverse , green's function for the three variable laplace equation , inverse scattering problem , inversion (geology) , quantum inverse scattering method , physics , mathematics , geometry , optics , geology , paleontology , economy , structural basin , economics , service (business)

We consider the inverse scattering problem for the radiative trans- port equation. We show that the linearized form of this problem can be formu- lated 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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