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  • Vol. 21, Iss. 13 — Jul. 1, 1996
  • pp: 916–918

Photon diffusion on the velocity sphere

A. Ya Polishchuk and R. R. Alfano  »View Author Affiliations


Optics Letters, Vol. 21, Issue 13, pp. 916-918 (1996)
http://dx.doi.org/10.1364/OL.21.000916


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Abstract

The concept of photon diffusion on the velocity sphere and the non-Euclidean diffusion equation (NED) are introduced to describe photon migration in highly forward-scattering random media. The NED covers the ballistic, transient, and developed diffusion modes of photon migration in random media. An approximate analytic solution to the NED is presented.

© 1996 Optical Society of America

History
Original Manuscript: January 24, 1996
Published: July 1, 1996

Citation
A. Ya Polishchuk and R. R. Alfano, "Photon diffusion on the velocity sphere," Opt. Lett. 21, 916-918 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-13-916


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References

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  2. A. Ya. Polishchuk, S. Gutman, R. R. Alfano, presented at the Optical Society of America Annual Meeting, Portland, Oregon, Sept. 10 (1995); “Photon density modes beyond the diffusion approximation: scalar wave-diffusion equation,” submitted to J. Opt. Soc. Am. A.
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  11. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984). [CrossRef]
  12. A. Ya. Polishchuk, M. Zevalos, F. Liu, R. R. Alfano, “A generalization of Fermat principle for photons in random media: mean-square curvature of the most favorable paths and photon diffusion on the velocity sphere,”Phys. Rev. E. (to be published).
  13. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).

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