OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 8 — Apr. 19, 2004
  • pp: 1727–1740

Finite element method for diffusive light propagations in index-mismatched media

Jae Hoon Lee, Seunghwan Kim, and Youn Tae Kim  »View Author Affiliations

Optics Express, Vol. 12, Issue 8, pp. 1727-1740 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (2576 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Near-infrared (NIR) light propagations in strongly scattering tissue have been studied in the past few decades and diffusion approximations (DA) have been extensively used under the assumption that the refractive index is constant throughout the medium. When the index is varying, the discontinuity of the fluence rate arises at the index-mismatched interface. We introduce the finite element method (FEM) incorporating the refractive index mismatch at the interface between the diffusive media without any approximations. Intensity, mean time, and mean optical path length were computed by FEM and by Monte Carlo (MC) simulations for a two-layer slab model and a good agreement between the data from FEM and from MC was found. The absorption sensitivity of intensity and mean time measurements was also analyzed by FEM. We have shown that mean time and absorption sensitivity functions vary significantly as the refractive index mismatch develops at the interface between the two layers.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.7050) Medical optics and biotechnology : Turbid media
(290.1990) Scattering : Diffusion

ToC Category:
Research Papers

Original Manuscript: February 18, 2004
Revised Manuscript: April 2, 2004
Published: April 19, 2004

Jae Hoon Lee, Seunghwan Kim, and Youn Kim, "Finite element method for diffusive light propagations in index-mismatched media," Opt. Express 12, 1727-1740 (2004)

Sort:  Journal  |  Reset  


  1. A. Ishimaru, Wave propagation and scattering in random media (Academic, 1978), Chap 7-9.
  2. M. Keizer, M. Star, and P. R. M. Storchi, �??Optical diffusion in layered media,�?? Appl. Opt. 27, 1820-1824 (1988). [CrossRef]
  3. R. C. Haskell, L. O. Svaasand, T. �??T. Tsay, T. �??C. Feng, M. S. McAdams, and B. J. Tromberg, �??Boundary conditions for the diffusion equation in radiative transfer,�?? J. Opt. Soc. Am. A 11, 2727-2741 (1994). [CrossRef]
  4. R. Aronson, "Boundary conditions for diffusion of light,�?? J. Opt. Soc. Am. A 12, 2532-2539 (1995). [CrossRef]
  5. J. Ripoll and M. Nieto-Vesperinas, �??Index mismatch for diffuse photon density waves at both flat and rough diffuse-diffuse interfaces,�?? J. Opt. Soc. Am. A 16, 1947-1957 (1999). [CrossRef]
  6. G. W. Faris, �??Diffusion equation boundary conditions for the interface between turbid media: a comment,�?? J. Opt. Soc. Am. A 19, 519-520 (2002) [CrossRef]
  7. H. Dehghani, B. Brooksby, K. Vishwanath, B. W. Pogue, and K. Paulsen, �??The effects of internal refractive index variation in near-infrared optical tomography: a finite element modelling approach,�?? Phys. Med. Biol. 48, 2713-2727 (2003) [CrossRef] [PubMed]
  8. S. R. Arridge and M. Schweiger, �??Photon measurement density functions. Part 2: Finite-element-method calculations,�?? Appl. Opt. 34, 8026-8037 (1995) [CrossRef] [PubMed]
  9. M. Hiraoka, M. Firbank, M. Essenpreis, M. Cope, S. R. Arridge, P. Van Der Zee, and D. T. Delpy, �??A Monte Carlo investigation of optical pathlength in inhomogeneous tissue and its application to near-infrared spectroscopy,�?? Phys. Med. Biol. 38, 1859-1876 (1993) [CrossRef] [PubMed]
  10. S. R. Arridge, �??Optical tomography in medical imaging,�?? Inverse Problems 15, R41-R93 (1999) [CrossRef]

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