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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2169–2174

Single-scattering solutions to radiative transfer in infinite turbid media

Margarita L. Shendeleva  »View Author Affiliations

JOSA A, Vol. 30, Issue 11, pp. 2169-2174 (2013)

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An instantaneous point source generating a light field in an infinite turbid medium with anisotropic individual scatterers is considered. Single-scattering solutions are sought as the first term of a series expansion of the solution of the radiative transfer equation in successive scattering orders. A simple formula for a single-scattering solution in media with an arbitrary axially symmetric phase function is derived. Applications of this formula are shown for the Henyey–Greenstein phase function, an ellipsoidal phase function, and a linear phase function. In addition, the single-scattering term of the RTE solution derived by Kholin [Zh. Vych. Mat. i Mat. Fys. 4, 1126 (1964)] for media with a phase function represented by a finite series in Legendre polynomials is considered in more detail.

© 2013 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.4210) Scattering : Multiple scattering

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Original Manuscript: July 17, 2013
Revised Manuscript: September 9, 2013
Manuscript Accepted: September 10, 2013
Published: October 2, 2013

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Vol. 9, Iss. 1 Virtual Journal for Biomedical Optics

Margarita L. Shendeleva, "Single-scattering solutions to radiative transfer in infinite turbid media," J. Opt. Soc. Am. A 30, 2169-2174 (2013)

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