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Applied Optics

Applied Optics


  • Vol. 40, Iss. 10 — Apr. 1, 2001
  • pp: 1742–1746

Unified analysis of the sensitivities of reflectance and path length to scattering variations in a diffusive medium

Hanli Liu  »View Author Affiliations

Applied Optics, Vol. 40, Issue 10, pp. 1742-1746 (2001)

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A unified analysis is presented for the sensitivities of reflectance and path length to scattering variations in a diffusive medium, using an improved solution of the steady-state diffusion equation. This approach enables one to (1) explain theoretically two kinds of dependency of near-infrared reflectance on source–detector separations and (2) obtain an analytical expression for optical path lengths. The results shown here are consistent with those of Kumar and Schmitt [Appl. Opt. 36, 2286 (1997)] and Mourant et al. [Appl. Opt. 36, 5655 (1997)]. Also, discussions are given on (1) possible reasons for some inconsistency between the conclusion drawn by Mourant et al. and results given here and (2) the usefulness of making reflectance measurements while minimizing the sensitivity of reflectance and path length to scattering variations.

© 2001 Optical Society of America

OCIS Codes
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.5280) Medical optics and biotechnology : Photon migration
(290.1350) Scattering : Backscattering
(290.1990) Scattering : Diffusion
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media

Original Manuscript: July 26, 2000
Revised Manuscript: December 14, 2000
Published: April 1, 2001

Hanli Liu, "Unified analysis of the sensitivities of reflectance and path length to scattering variations in a diffusive medium," Appl. Opt. 40, 1742-1746 (2001)

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  1. G. Kumar, J. M. Schmitt, “Optimal probe geometry for near-infrared spectroscopy of biological tissue,” Appl. Opt. 36, 2286–2293 (1997). [CrossRef] [PubMed]
  2. J. R. Mourant, I. J. Bigio, D. A. Jack, T. M. Johnson, H. D. Miller, “Measuring absorption coefficients in small volumes of highly scattering media: source–detector separations for which path lengths do not depend on scattering properties,” Appl. Opt. 36, 5655–5661 (1997). [CrossRef] [PubMed]
  3. A. Kienle, M. S. Patterson, “Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium,” J. Opt. Soc. Am. A 14, 246–254 (1997). [CrossRef]
  4. T. J. Farrell, M. S. Patterson, “A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo,” Med. Phys. 19, 879–888 (1992). [CrossRef] [PubMed]
  5. H. Liu, B. Beauvoit, M. Kimura, B. Chance, “Dependence of tissue optical properties on solute-induced changes in refractive index and osmolarity,” J. Biomed. Opt. 1, 200–211 (1996). [CrossRef] [PubMed]
  6. E. M. Sevick, B. Chance, J. Leigh, S. Nioka, M. Maris, “Quantitation of time- and frequency-resolved optical spectra for the determination of tissue oxygenation,” Anal. Biochem. 195, 330–351 (1991). [CrossRef] [PubMed]
  7. W. M. Star, “Diffusion theory of light transport,” in Optical-Thermal Response of Laser-Irradiated Tissue, A. J. Welch, M. J. C. Van Gemert, eds. (Plenum, New York, 1995). [CrossRef]
  8. H. Liu, Y. Song, K. L. Worden, X. Jiang, A. Constantinescu, R. P. Mason, “Noninvasive investigation of blood oxygenation dynamics of tumors by near-infrared spectroscopy,” Appl. Opt. 39, 5231–5243 (2000). [CrossRef]
  9. 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]

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