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Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 5, Iss. 3 — Mar. 1, 2014
  • pp: 975–989

Reliable recovery of the optical properties of multi-layer turbid media by iteratively using a layered diffusion model at multiple source-detector separations

Yu-Kai Liao and Sheng-Hao Tseng  »View Author Affiliations

Biomedical Optics Express, Vol. 5, Issue 3, pp. 975-989 (2014)

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Accurately determining the optical properties of multi-layer turbid media using a layered diffusion model is often a difficult task and could be an ill-posed problem. In this study, an iterative algorithm was proposed for solving such problems. This algorithm employed a layered diffusion model to calculate the optical properties of a layered sample at several source-detector separations (SDSs). The optical properties determined at various SDSs were mutually referenced to complete one round of iteration and the optical properties were gradually revised in further iterations until a set of stable optical properties was obtained. We evaluated the performance of the proposed method using frequency domain Monte Carlo simulations and found that the method could robustly recover the layered sample properties with various layer thickness and optical property settings. It is expected that this algorithm can work with photon transport models in frequency and time domain for various applications, such as determination of subcutaneous fat or muscle optical properties and monitoring the hemodynamics of muscle.

© 2014 Optical Society of America

OCIS Codes
(170.5270) Medical optics and biotechnology : Photon density waves
(170.5280) Medical optics and biotechnology : Photon migration
(290.1990) Scattering : Diffusion

ToC Category:
Optics of Tissue and Turbid Media

Original Manuscript: January 1, 2014
Revised Manuscript: February 9, 2014
Manuscript Accepted: February 21, 2014
Published: February 27, 2014

Yu-Kai Liao and Sheng-Hao Tseng, "Reliable recovery of the optical properties of multi-layer turbid media by iteratively using a layered diffusion model at multiple source-detector separations," Biomed. Opt. Express 5, 975-989 (2014)

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  1. A. Cerussi, D. Hsiang, N. Shah, R. Mehta, A. Durkin, J. Butler, and B. J. Tromberg, “Predicting response to breast cancer neoadjuvant chemotherapy using diffuse optical spectroscopy,” Proc. Natl. Acad. Sci. U.S.A.104(10), 4014–4019 (2007). [CrossRef] [PubMed]
  2. S. H. Tseng, P. Bargo, A. Durkin, and N. Kollias, “Chromophore concentrations, absorption and scattering properties of human skin in-vivo,” Opt. Express17(17), 14599–14617 (2009). [CrossRef] [PubMed]
  3. A. Kienle and T. Glanzmann, “In vivo determination of the optical properties of muscle with time-resolved reflectance using a layered model,” Phys. Med. Biol.44(11), 2689–2702 (1999). [CrossRef] [PubMed]
  4. V. Toronov, A. Webb, J. H. Choi, M. Wolf, L. Safonova, U. Wolf, and E. Gratton, “Study of local cerebral hemodynamics by frequency-domain near-infrared spectroscopy and correlation with simultaneously acquired functional magnetic resonance imaging,” Opt. Express9(8), 417–427 (2001). [CrossRef] [PubMed]
  5. 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. A11(10), 2727–2741 (1994). [CrossRef] [PubMed]
  6. S. H. Tseng, C. Hayakawa, J. Spanier, and A. J. Durkin, “Investigation of a probe design for facilitating the uses of the standard photon diffusion equation at short source-detector separations: Monte Carlo simulations,” J. Biomed. Opt.14(5), 054043 (2009). [CrossRef] [PubMed]
  7. S. H. Tseng, C. Hayakawa, B. J. Tromberg, J. Spanier, and A. J. Durkin, “Quantitative spectroscopy of superficial turbid media,” Opt. Lett.30(23), 3165–3167 (2005). [CrossRef] [PubMed]
  8. B. J. Tromberg, N. Shah, R. Lanning, A. Cerussi, J. Espinoza, T. Pham, L. Svaasand, and J. Butler, “Non-invasive in vivo characterization of breast tumors using photon migration spectroscopy,” Neoplasia2(1/2), 26–40 (2000). [CrossRef] [PubMed]
  9. T. J. Farrell, M. S. Patterson, and M. Essenpreis, “Influence of layered tissue architecture on estimates of tissue optical properties obtained from spatially resolved diffuse reflectometry,” Appl. Opt.37(10), 1958–1972 (1998). [CrossRef] [PubMed]
  10. F. Martelli, A. Sassaroli, S. Del Bianco, Y. Yamada, and G. Zaccanti, “Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.67(5), 056623 (2003). [CrossRef] [PubMed]
  11. A. Liemert and A. Kienle, “Light diffusion in N-layered turbid media: frequency and time domains,” J. Biomed. Opt.15(2), 025002 (2010). [CrossRef] [PubMed]
  12. A. Kienle, M. S. Patterson, N. Dognitz, R. Bays, G. Wagnieres, and H. van den Bergh, “Noninvasive determination of the optical properties of two-layered turbid media,” Appl. Opt.37(4), 779–791 (1998). [CrossRef] [PubMed]
  13. T. H. Pham, T. Spott, L. O. Svaasand, and B. J. Tromberg, “Quantifying the properties of two-layer turbid media with frequency-domain diffuse reflectance,” Appl. Opt.39(25), 4733–4745 (2000). [CrossRef] [PubMed]
  14. L. H. Wang, S. L. Jacques, and L. Q. Zheng, “Mcml - Monte-Carlo Modeling of Light Transport in Multilayered Tissues,” Comput. Meth. Prog. Bio.47(2), 131–146 (1995). [CrossRef]
  15. G. Alexandrakis, D. R. Busch, G. W. Faris, and M. S. Patterson, “Determination of the optical properties of two-layer turbid media by use of a frequency-domain hybrid monte carlo diffusion model,” Appl. Opt.40(22), 3810–3821 (2001). [CrossRef] [PubMed]
  16. A. Liemert and A. Kienle, “Bioluminescent light diffusion in a four-layered turbid medium,” Med. Laser Appl.25(3), 161–165 (2010). [CrossRef]
  17. S. Leahy, C. Toomey, K. McCreesh, C. O’Neill, and P. Jakeman, “Ultrasound measurement of subcutaneous adipose tissue thickness accurately predicts total and segmental body fat of young adults,” Ultrasound Med. Biol.38(1), 28–34 (2012). [CrossRef] [PubMed]

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