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Applied Optics

Applied Optics


  • Vol. 40, Iss. 22 — Aug. 1, 2001
  • pp: 3810–3821

Determination of the optical properties of two-layer turbid media by use of a frequency-domain hybrid Monte Carlo diffusion model

George Alexandrakis, David R. Busch, Gregory W. Faris, and Michael S. Patterson  »View Author Affiliations

Applied Optics, Vol. 40, Issue 22, pp. 3810-3821 (2001)

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The general two-layer inverse problem in biomedical photon migration is to estimate the absorption and scattering coefficients of each layer as well as the top-layer thickness. We attempted to solve this problem, using experimental and simulated spatially resolved frequency-domain (FD) reflectance for optical properties typical of skin overlying muscle or skin overlying fat in the near infrared. Two forward models of light propagation were used: a two-layer diffusion solution [Appl. Opt. 37, 779 (1998)] and a hybrid Monte Carlo (MC) diffusion model [Appl. Opt. 37, 7401 (1998)]. MC-simulated FD reflectance data were fitted as relative measurements to the hybrid and the pure diffusion models. It was found that the hybrid model could determine all the optical properties of the two-layer media studied to ∼5%. Also, the same accuracy could be achieved by means of fitting MC-simulated cw reflectance data as absolute measurements, but fitting them as relative ones is an ill-posed problem. In contrast, two-layer diffusion could not retrieve the top-layer optical properties as accurately for FD data and was ill-posed for both relative and absolute cw data. The hybrid and the pure diffusion models were also fitted to experimental FD reflectance measurements from two-layer tissue-simulating phantoms representative of skin-on-fat and skin-on-muscle baseline optical properties. Both the hybrid and the diffusion models could determine the optical properties of the lower layer. The hybrid model demonstrated its potential to retrieve quantitatively the transport scattering coefficient of skin (the upper layer), which was not possible with the pure diffusion model. Systematic discrepancies between model and experiment may compromise the accuracy of the deduced top-layer optical properties. Identifying and eliminating such discrepancies is critical to practical application of the method.

© 2001 Optical Society of America

OCIS Codes
(170.4090) Medical optics and biotechnology : Modulation techniques
(170.5280) Medical optics and biotechnology : Photon migration
(290.1990) Scattering : Diffusion
(290.7050) Scattering : Turbid media

Original Manuscript: November 28, 2000
Revised Manuscript: April 24, 2001
Published: August 1, 2001

George Alexandrakis, David R. Busch, Gregory W. Faris, and Michael 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, 3810-3821 (2001)

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  1. R. A. De Blasi, N. Almenräder, P. Aurisicchio, M. Ferrari, “Comparison of two methods of measuring forearm oxygen consumption (V̇O2) by near infrared spectroscopy,” J. Biomed. Opt. 2, 171–175 (1997). [CrossRef] [PubMed]
  2. M. Nitzav, A. Babchencko, B. Khanokh, H. Taitelbaum, “Measurement of oxygen saturation in venous blood by dynamic near infrared spectroscopy,” J. Biomed. Opt. 5, 155–162 (2000). [CrossRef]
  3. M. S. Patterson, B. C. Wilson, J. W. Feather, D. M. Burns, W. Pushka, “The measurement of dihematoporphyrin ether concentration in tissue by reflectance spectrophotometry,” Photochem. Photobiol. 46, 337–343 (1987). [CrossRef] [PubMed]
  4. R. A. Weersink, J. E. Hayward, K. R. Diamond, M. S. Patterson, “Accuracy of non-invasive in vivo measurements of photosensitizer uptake based on a diffusion model of reflectance spectroscopy,” Photochem. Photobiol. 66, 326–335 (1997). [CrossRef] [PubMed]
  5. J. R. Mourant, T. M. Johnson, G. Los, I. J. Bigio, “Non-invasive measurement of chemotherapy drug concentrations in tissue: preliminary demonstrations of in vivo measurements,” Phys. Med. Biol. 44, 1397–1417 (1999). [CrossRef] [PubMed]
  6. J. T. Bruulsema, J. E. Hayward, T. J. Farrell, M. S. Patterson, M. Essenpreis, G. Schmelzeisen-Redeker, D. Bocker, L. Heinemann, M. Berger, T. Koschinsky, J. Sandahl-Christiansen, H. Orskov, “Correlation between blood glucose concentration in diabetics and non-invasively measured tissue optical scattering coefficient,” Opt. Lett. 22, 190–192 (1997). [CrossRef] [PubMed]
  7. I. S. Saidi, S. L. Jacques, F. K. Tittel, “Mie and Rayleigh modeling of visible-light scattering in neonatal skin,” Appl. Opt. 34, 7410–7418 (1995). [CrossRef] [PubMed]
  8. J. M. Schmitt, G. Kumar, “Optical scattering properties of soft tissue: a discrete particle model,” Appl. Opt. 37, 2788–2797 (1988). [CrossRef]
  9. B. Beauvoit, B. Chance, “Time-resolved spectroscopy of mitochondria, cells and tissues under normal and pathological conditions,” Mol. Cell. Biochem. 184, 445–455 (1998). [CrossRef] [PubMed]
  10. A. Kienle, L. Lilge, M. S. Patterson, R. Hibst, R. Steiner, B. C. Wilson, “Spatially resolved absolute diffuse reflectance measurements for noninvasive determination of the optical scattering and absorption coefficients of biological tissue,” Appl. Opt. 35, 2304–2314 (1996). [CrossRef] [PubMed]
  11. G. Alexandrakis, T. J. Farrell, M. S. Patterson, “Accuracy of the diffusion approximation in determining the optical properties of a two-layer turbid medium,” Appl. Opt. 37, 7401–7410 (1998). [CrossRef]
  12. T. H. Pham, T. Spott, L. O. Svaasand, B. J. Tromberg, “Quantifying the properties of two-layer turbid media with frequency-domain diffuse reflectance,” Appl. Opt. 39, 4733–4745 (2000). [CrossRef]
  13. T. J. Farrell, M. S. Patterson, M. Essenpreis, “Influence of layered tissue architecture on estimates of tissue optical properties obtained from spatially resolved diffuse reflectometry,” Appl. Opt. 37, 1958–1972 (1998). [CrossRef]
  14. M. A. Franceschini, S. Fantini, L. A. Paunescu, J. S. Maier, E. Gratton, “Influence of a superficial layer in the quantitative spectroscopic study of strongly scattering media,” Appl. Opt. 37, 7447–7458 (1998). [CrossRef]
  15. G. Alexandrakis, T. J. Farrell, M. S. Patterson, “Monte Carlo diffusion hybrid model for photon migration in a two-layer turbid medium in the frequency domain,” Appl. Opt. 39, 2235–2244 (2000). [CrossRef]
  16. A. Ishimaru, Wave Propagation in Scattering and Random Media (Academic, New York, 1978), Chaps. 7 and 9.
  17. M. Gerken, G. W. Faris, “High accuracy optical property measurements using a frequency domain technique,” in Optical Tomography and Spectroscopy of Tissue III, B. Chance, R. R. Alfano, B. J. Tromberg, eds., Proc. SPIE3597, 593–600 (1999). [CrossRef]
  18. L. Wang, S. L. Jacques, “Hybrid model of Monte Carlo simulation and diffusion theory for light reflectance by turbid media,” J. Opt. Soc. Am. A 10, 1746–1752 (1993). [CrossRef]
  19. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes—The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, New York, 1996), Chaps. 10, 13, and 15.
  20. “Appendix B, Degassing Procedures,” in IEEE Guide for Medical Ultrasound Field Parameter Measurements, IEEE Std. 790-1989, F. W. Kremkau, W. T. Coakley, P. D. Edmonds, L. A. Frizzel, G. R. Harris, W. A. Riley, R. A. Robinson, eds. (Institute of Electrical and Electronics Engineers, New York, 1990), pp. 91–94.
  21. D. E. Hyde, T. J. Farrell, M. S. Patterson, “A diffusion theory model of spatially resolved fluorescence from depth dependent fluorophore concentrations,” Phys. Med. Biol. 46, 369–383 (2001). [CrossRef] [PubMed]
  22. M. Gerken, G. W. Faris, “High precision frequency-domain measurements of the optical properties of turbid media,” Opt. Lett. 24, 930–932 (1999). [CrossRef]
  23. M. Gerken, G. W. Faris, “Frequency-domain immersion technique for accurate optical property measurements of turbid media,” Opt. Lett. 24, 1726–1728 (1999). [CrossRef]
  24. R. W. Engstrom, Photomultiplier Handbook (RCA, Lancaster, Pa., 1980), pp. 32, 47–52.
  25. H. Kume, ed., Photomultiplier Tube: Principle to Application (Hamamatsu Photonics K. K., Hamamatsu City, Japan, 1994), pp. 36, 47–49.
  26. H. C. van de Hulst, R. Graaff, “Aspects of similarity in tissue optics with strong forward scattering,” Phys. Med. Biol. 41, 2519–2531 (1996). [CrossRef] [PubMed]
  27. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  28. R. C. Haskell, L. O. Svaasand, T.-T. Tsay, T.-C. Feng, M. S. McAdams, B. J. Tromberg, “Boundary conditions for the diffusion equation in radiative transfer,” J. Opt. Soc. Am. A 11, 2727–2741 (1994). [CrossRef]

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