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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 10 — Oct. 1, 2009
  • pp: 2147–2162

Solution of transport equations in layered media with refractive index mismatch using the P N -method

Kevin G. Phillips and Steven L. Jacques  »View Author Affiliations


JOSA A, Vol. 26, Issue 10, pp. 2147-2162 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002147


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Abstract

The P N -method is a spectral discretization technique used to obtain numerical solutions to the radiative transport equation. To the best of our knowledge, the P N -method has yet to be generalized to the case of refractive index mismatch in layered slabs used to numerically simulate skin. Our main contribution is the application of a collocation method that takes into account refractive index mismatch at layer interfaces. The stability, convergence, and accuracy of the method are established. Example calculations demonstrating the flexibility of the method are performed.

© 2009 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(030.5620) Coherence and statistical optics : Radiative transfer
(170.3660) Medical optics and biotechnology : Light propagation in tissues

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: June 16, 2009
Revised Manuscript: June 16, 2009
Manuscript Accepted: July 17, 2009
Published: September 8, 2009

Virtual Issues
Vol. 4, Iss. 12 Virtual Journal for Biomedical Optics

Citation
Kevin G. Phillips and Steven L. Jacques, "Solution of transport equations in layered media with refractive index mismatch using the PN-method," J. Opt. Soc. Am. A 26, 2147-2162 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-10-2147

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