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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. 23, Iss. 7 — Jul. 1, 2006
  • pp: 1639–1644

Radiative transfer equations with varying refractive index: a mathematical perspective

Guillaume Bal  »View Author Affiliations


JOSA A, Vol. 23, Issue 7, pp. 1639-1644 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001639


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Abstract

Established mathematical techniques to model the energy density of high-frequency waves in random media by radiative transfer equations and to model the small mean-free-path limit of radiative transfer solutions by diffusion equations are reviewed. These techniques are then applied to the derivation of radiative transfer and diffusion equations for the radiance, also known as specific intensity, of electromagnetic waves in situations where the refractive index of the underlying structure varies smoothly in space.

© 2006 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(080.2710) Geometric optics : Inhomogeneous optical media
(170.5280) Medical optics and biotechnology : Photon migration
(290.1990) Scattering : Diffusion

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: November 22, 2005
Manuscript Accepted: January 20, 2006

Virtual Issues
Vol. 1, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Guillaume Bal, "Radiative transfer equations with varying refractive index: a mathematical perspective," J. Opt. Soc. Am. A 23, 1639-1644 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-7-1639

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