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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 35, Iss. 20 — Oct. 15, 2010
  • pp: 3507–3509

Analytical solutions of the simplified spherical harmonics equations

Andre Liemert and Alwin Kienle  »View Author Affiliations

Optics Letters, Vol. 35, Issue 20, pp. 3507-3509 (2010)

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We derived analytical solutions of the simplified spherical harmonics equations, an approximation of the radiative transfer equation, for infinitely extended scattering media. The derived equations are simple (sum of exponential functions) and quickly evaluated. We compared the solutions with Monte Carlo simulations in the steady-state and time domains and found much better agreement compared to solutions of the diffusion equation, especially for large absorption coefficients, short time values, and small distances from the source.

© 2010 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(290.1990) Scattering : Diffusion
(290.7050) Scattering : Turbid media
(010.5620) Atmospheric and oceanic optics : Radiative transfer

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: August 18, 2010
Manuscript Accepted: September 21, 2010
Published: October 14, 2010

Andre Liemert and Alwin Kienle, "Analytical solutions of the simplified spherical harmonics equations," Opt. Lett. 35, 3507-3509 (2010)

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