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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 9 — May. 1, 1988
  • pp: 1820–1824

Optical diffusion in layered media

Marleen Keijzer, Willem M. Star, and Pascal R. M. Storchi  »View Author Affiliations


Applied Optics, Vol. 27, Issue 9, pp. 1820-1824 (1988)
http://dx.doi.org/10.1364/AO.27.001820


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Abstract

In highly scattering media, light energy fluence rate distributions can be described by diffusion theory. Boundary conditions, appropriate to the diffusion approximation, are derived for surfaces where reflection of diffuse light occurs. Both outer surfaces and interfaces separating media with different indices of refraction can be treated. The diffusion equation together with its boundary conditions is solved using the finite element method. This numerical method allows much freedom of geometry.

© 1988 Optical Society of America

History
Original Manuscript: October 7, 1987
Published: May 1, 1988

Citation
Marleen Keijzer, Willem M. Star, and Pascal R. M. Storchi, "Optical diffusion in layered media," Appl. Opt. 27, 1820-1824 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-9-1820


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References

  1. K. M. Case, P. R. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, MA, 1967), p. 9.
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 1: Single Scattering and Transport Theory (Academic, New York, 1978), p. 157.
  3. J. J. Duderstadt, L. J. Hamilton, Nuclear Reactor Analysis (Wiley, New York, 1976).
  4. K. Furutsu, “Diffusion Equation Derived from Space-Time Transport Equation,” J. Opt. Soc. Am. 70, 360 (1980). [CrossRef]
  5. H. C. van de Hulst, Multiple Light Scattering: Tables, Formulas and Applications (Academic, New York, 1980).
  6. R. A. J. Groenhuis, H. A. Ferwerda, J. J. ten Bosch, “Scattering and Absorption of Turbid Materials Determined from Reflection Measurements. 1: Theory,” Appl. Opt. 22, 2456 (1983). [CrossRef] [PubMed]
  7. I. Fried, Numerical Solutions of Differential Equations (Academic, New York, 1979).

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