Validity conditions for the radiative transfer equation

We compare the radiative transfer equation for media with constant refractive index with the radiative transfer equation for media with spatially varying refractive indices [J. Opt. A Pure App. Opt. 1, L1 (1999)] and obtain approximate conditions under which the former equation is accurate for model...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2003-11, Vol.20 (11), p.2046-2056
Hauptverfasser: Martí-López, Luis, Bouza-Domínguez, Jorge, Hebden, Jeremy C, Arridge, Simon R, Martínez-Celorio, René A
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container_issue 11
container_start_page 2046
container_title Journal of the Optical Society of America. A, Optics, image science, and vision
container_volume 20
creator Martí-López, Luis
Bouza-Domínguez, Jorge
Hebden, Jeremy C
Arridge, Simon R
Martínez-Celorio, René A
description We compare the radiative transfer equation for media with constant refractive index with the radiative transfer equation for media with spatially varying refractive indices [J. Opt. A Pure App. Opt. 1, L1 (1999)] and obtain approximate conditions under which the former equation is accurate for modeling light propagation in scattering media with spatially varying refractive indices. These conditions impose restrictions on the variations of the refractive index, the gradient of the refractive index, the divergence of the rays, the frequency of modulation, and the widths of light pulses, which are related to the mean refractive index, the absorption coefficient, and the reduced scattering coefficient of the medium. Each condition is geometrically interpreted. Some implications of the results are discussed.
doi_str_mv 10.1364/JOSAA.20.002046
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subjects Light
Models, Theoretical
Refractometry
Scattering, Radiation
Tomography, Optical
title Validity conditions for the radiative transfer equation
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