OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • 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)
http://dx.doi.org/10.1364/OL.35.003507


View Full Text Article

Enhanced HTML    Acrobat PDF (225 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
Andre Liemert and Alwin Kienle, "Analytical solutions of the simplified spherical harmonics equations," Opt. Lett. 35, 3507-3509 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-20-3507

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited