OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 5 — May. 1, 2002
  • pp: 894–901

New and fast calculation for incoherent multiple scattering

Mady Elias and Georges Elias  »View Author Affiliations


JOSA A, Vol. 19, Issue 5, pp. 894-901 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000894


View Full Text Article

Acrobat PDF (492 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

To model bidirectional measurements, a numerical method for computing the incoherent light scattered by a diffusing medium is presented. The results are expressed as a function of the incident and the observer angles (θi, φi) and (θf, φf), in contrast to the N-flux method, which gives no information about the azimuthal distribution. To solve the multiple-scattering equations, an auxiliary function, expanded on the spherical harmonics, is introduced in the diffusion equation. A set of integral equations on the coefficients are obtained that are well suited for the numerical resolution. The boundary conditions are included in the linear operator of the integral equation, so that each boundary condition is associated with a specific equation. As an illustration, the method is applied to numerical simulations of maps of the light scattered by a thick refractive diffusing layer of refractive index n = 1.5, for two directive phase functions and for several incident collimated-beam angles.

© 2002 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

Citation
Mady Elias and Georges Elias, "New and fast calculation for incoherent multiple scattering," J. Opt. Soc. Am. A 19, 894-901 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-5-894


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. M. Elias, L. Simonot, and M. Menu, “Bidirectional reflectance of a diffuse background covered by a partly absorbing layer,” Opt. Commun. 191, 1–7 (2001).
  2. P. Kubelka and F. Munk, “Ein Beitrag zur Optik des Farbanstriche,” Z. Tech. Phys. 12, 593–601 (1931).
  3. B. Maheu, J. N. Letouzan, and G. Gouesbet, “Four-flux models to solve the scattering transfer equation in terms of Lorenz–Mie parameters,” Appl. Opt. 23, 3353–3362 (1984).
  4. P. S Mudgett and L. W. Richards, “Multiple scattering calculations for technology,” Appl. Opt. 10, 1485–1502 (1971).
  5. J. J. Joshi, D. B. Vaidya, and H. S. Shah, “Application of multi-flux theory based on Mie scattering to the problem of modeling the optical characteristics of colored pigmented paint films,” Color Res. Appl. 26, (2001).
  6. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  7. K. Stamnes, S. Chee Tsay, W. Wiscombe, and K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layer media,” Appl. Opt. 27, 2502–2510 (1988).
  8. C. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  9. W. J. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505–1509 (1980).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited