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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 4 — Feb. 14, 2011
  • pp: 2922–2927

Eigen decomposition solution to the one-dimensional time-dependent photon transport equation

Chintha C. Handapangoda, Pubudu N. Pathirana, and Malin Premaratne  »View Author Affiliations


Optics Express, Vol. 19, Issue 4, pp. 2922-2927 (2011)
http://dx.doi.org/10.1364/OE.19.002922


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Abstract

The time-dependent one-dimensional photon transport (radiative transfer) equation is widely used to model light propagation through turbid media with a slab geometry, in a vast number of disciplines. Several numerical and semi-analytical techniques are available to accurately solve this equation. In this work we propose a novel efficient solution technique based on eigen decomposition of the vectorized version of the photon transport equation. Using clever transformations, the four variable integro-differential equation is reduced to a set of first order ordinary differential equations using a combination of a spectral method and the discrete ordinates method. An eigen decomposition approach is then utilized to obtain the closed-form solution of this reduced set of ordinary differential equations.

© 2011 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(290.7050) Scattering : Turbid media
(010.5620) Atmospheric and oceanic optics : Radiative transfer

ToC Category:
Scattering

History
Original Manuscript: October 25, 2010
Revised Manuscript: January 27, 2011
Manuscript Accepted: January 28, 2011
Published: February 1, 2011

Virtual Issues
Vol. 6, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Chintha C. Handapangoda, Pubudu N. Pathirana, and Malin Premaratne, "Eigen decomposition solution to the one-dimensional time-dependent photon transport equation," Opt. Express 19, 2922-2927 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-4-2922


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