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Photon migration through a turbid slab described by a model based on diffusion approximation I Theory

Contini, Daniele, Martelli, Fabrizio, Zaccanti, Giovanni·1997·Applied Optics

Abstract

The diffusion approximation of the radiative transfer equation is a model used widely to describe photon migration in highly diffusing media and is an important matter in biological tissue optics. An analysis of the time-dependent diffusion equation together with its solutions for the slab geometry and for a semi-infinite diffusing medium are reported. These solutions, presented for both the time-dependent and the continuous wave source, account for the refractive index mismatch between the turbid medium and the surrounding medium. The results have been compared with those obtained when different boundary conditions were assumed. The comparison has shown that the effect of the refractive index mismatch cannot be disregarded. This effect is particularly important for the transmittance. The discussion of results also provides an analysis of the role of the absorption coefficient in the expression of the diffusion coefficient.

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Metadata

Authors
Contini, D., Martelli, F., & Zaccanti, G.
Venue
Applied Optics
Published
1997-07-01
Volume
36
Issue
19
Pages
4587
ISSN
  • 0003-6935 (ISSN-L)
  • 1539-4522
OpenAlex
W2035609036
Cited by
460
References
0
FWCI
10.96
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Photon migration through a turbid slab described by a model based on diffusion approximation I Theory. https://app.cochat.ai/papers/10.1364/ao.36.004587
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Contini, D., Martelli, F., & Zaccanti, G. (1997). Photon migration through a turbid slab described by a model based on diffusion approximation I Theory. Applied Optics. https://doi.org/10.1364/ao.36.004587

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.