OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4179–4186

Diffusing-wave spectroscopy for arbitrary geometries: numerical analysis by a boundary-element method

Loïc Vanel, Pierre-Anthony Lemieux, and Douglas J. Durian  »View Author Affiliations

Applied Optics, Vol. 40, Issue 24, pp. 4179-4186 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (139 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a boundary-element-method numerical procedure that can be used to solve for the diffusion equation of the field autocorrelation function in any arbitrary geometry with various boundary and source properties. We use this numerical method to study finite-sized effects in a circular slab and the influence of the angle in a cone-plate geometry. The latter is also compared with exact analytical solutions obtained for an equivalent bidimensional geometry. In most cases the deviation from well-known predictions of the correlation function remains small.

© 2001 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(170.5280) Medical optics and biotechnology : Photon migration
(300.6480) Spectroscopy : Spectroscopy, speckle

Original Manuscript: November 20, 2000
Revised Manuscript: April 16, 2001
Published: August 20, 2001

Loïc Vanel, Pierre-Anthony Lemieux, and Douglas J. Durian, "Diffusing-wave spectroscopy for arbitrary geometries: numerical analysis by a boundary-element method," Appl. Opt. 40, 4179-4186 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. A. Weitz, D. J. Pine, in Dynamic Light Scattering: The Method and Some Applications, W. Brown, ed. (Clarendon, Oxford, UK, 1993), pp. 652–720.
  2. G. Maret, “Diffusing-wave spectroscopy,” Curr. Opin. Colloid Interface Sci. 2, 251–257 (1997). [CrossRef]
  3. P.-A. Lemieux, M. U. Vera, D. J. Durian, “Diffusing-light spectroscopies beyond the diffusion limit: the role of ballistic transport and anisotropic scattering,” Phys. Rev. E 57, 4498–4515 (1998). [CrossRef]
  4. R. L. Dougherty, B. J. Ackerson, N. M. Reguigui, F. Dorr-Nowkoorani, U. Nobbmann, “Correlation transfer: development and application,” J. Quant. Spectrosc. Radiat. Transfer 52, 713–727 (1994). [CrossRef]
  5. D. A. Boas, L. E. Campbell, A. G. Yodh, “Scattering and imaging with diffusing temporal field correlation functions,” Phys. Rev. Lett. 75, 1855–1858 (1995). [CrossRef] [PubMed]
  6. D. A. Boas, A. G. Yodh, “Spatially varying dynamical properties of turbid media probed with diffusing temporal light correlation,” J. Opt. Soc. Am. A 14, 192–215 (1997). [CrossRef]
  7. M. A. Celia, W. G. Gray, Numerical Methods for Differential Equations (Prentice-Hall, Englewood Cliffs, N.J., 1992).
  8. C. A. Brebbia, J. C. F. Telles, L. C. Wrobel, Boundary Element Techniques (Springer-Verlag, Berlin, 1984). [CrossRef]
  9. C. A. Brebbia, J. Dominguez, Boundary Elements. An Introductory Course (Computational Mechanics, Southampton, UK, 1989).
  10. I. Stakgold, Boundary Value Problems of Mathematical Physics (Macmillan, New York, 1968), Vol. 2.
  11. P. D. Kaplan, M. H. Kao, A. G. Yodh, D. J. Pine, “Geometric constraints for the design of diffusing-wave spectroscopy,” Appl. Opt. 32, 3828–3836 (1993). [PubMed]
  12. SKY/Mesh2, Version 2.34 (Skyblue Systems, Albany, N.Y.).
  13. P. W. Partridge, C. A. Brebbia, L. C. Wrobel, The Dual Reciprocity Boundary Element Method (Computational Mechanics, Southampton, UK, 1992).

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited