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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 12 — Dec. 1, 2004
  • pp: 2464–2467

Radiative transfer in a turbid medium with a varying refractive index: comment

Margarita L. Shendeleva  »View Author Affiliations


JOSA A, Vol. 21, Issue 12, pp. 2464-2467 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002464


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Abstract

In the literature one can encounter at least two different radiative transfer equations for media with spatially varying refractive indices. These are the results of Ferwerda [J. Opt. A Pure Appl. Opt. 1, L1 (1999)] and Tualle and Tinet [Opt. Commun. 228, 33 (2003)]. Accordingly, two different diffusion approximations are derived from these two radiative transfer equations. I reconsider the derivation of the radiative transfer equation in a medium with an inhomogeneous refractive index and confirm the result of Tualle and Tinet. In the diffusion approximation, a simple analytical solution has been found for the steady-state illumination of a nonabsorbing turbid medium with a varying refractive index.

© 2004 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.1990) Scattering : Diffusion
(290.7050) Scattering : Turbid media

Citation
Margarita L. Shendeleva, "Radiative transfer in a turbid medium with a varying refractive index: comment," J. Opt. Soc. Am. A 21, 2464-2467 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-12-2464


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References

  1. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  2. H. A. Ferwerda, “The radiative transfer equation for scattering media with a spatially varying refractive index,” J. Opt. A, Pure Appl. Opt. 1, L1–L2 (1999).
  3. J.-M. Tualle and E. Tinet, “Derivation of the radiative transfer equation for scattering media with a spatially varying refractive index,” Opt. Commun. 228, 33–38 (2003).
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