1989
DOI: 10.1364/josaa.6.000280
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Time-dependent radiative transfer and pulse evolution

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Cited by 11 publications
(5 citation statements)
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“…This small-angle assumption is incompatible with a general subsurface scattering context, where incoming paths have to 'turn back around' over large angles to re-emerge out of the medium. Tessendorf [1989;1990] later expanded his work to the time dependent RTE in the form that we will use here. Exact analytical evaluations of the functional integral are still unfeasible and a Wentzel-Kramers-Brillouin (WKB) approximation was employed which expands the functional integral around the Most Probable Path (MPP) and considers only quadratic uctuations around this MPP [Tessendorf 1991].…”
Section: Functional Integrals For Radiative Transportmentioning
confidence: 99%
“…This small-angle assumption is incompatible with a general subsurface scattering context, where incoming paths have to 'turn back around' over large angles to re-emerge out of the medium. Tessendorf [1989;1990] later expanded his work to the time dependent RTE in the form that we will use here. Exact analytical evaluations of the functional integral are still unfeasible and a Wentzel-Kramers-Brillouin (WKB) approximation was employed which expands the functional integral around the Most Probable Path (MPP) and considers only quadratic uctuations around this MPP [Tessendorf 1991].…”
Section: Functional Integrals For Radiative Transportmentioning
confidence: 99%
“…This kind of model is also employed in optical tomography techniques, such as diffuse optical tomography, to model the propagation of light through biological tissues for imaging purposes [39]. The evolution of the radiant distribution of light in a laser pulse as it propagates through a scattering and absorbing medium can in many circumstances be described by the time-dependent radiative transfer equation, more details can be found in [51].…”
Section: Introductionmentioning
confidence: 99%
“…Because there are very few restrictions on paths radiation can take through the media, the total path space to explore is quite large. Feynman path integrals (FPI) applied to radiative transfer [1,2,3,4] is a mathematical model for radiation transport through participating media which is general and suitable for many applications. For instance, Perelman et al [5,6,7,8] have modeled light transport using path integrals with intended application in optical tomography, though much of their work uses the path integral model as theory to compare with experimental or Monte Carlo results rather than directly evaluating the path integral.…”
Section: Introductionmentioning
confidence: 99%