Abstract

This study utilizes experimentally validated Monte Carlo simulations to identify a mathematical formulation of the reflectance intensity collected by a single fiber probe expressed in terms of the reduced scattering coefficient (μs), fiber diameter dfiber, and a property of the first two moments of the scattering phase function (γ). This model is then utilized to accurately obtain wavelength-dependent estimates of μs(λ) and γ(λ) from multiple single fiber spectral measurements of a turbid medium obtained with different diameters. This method returns accurate descriptions (mean residual <3%) of both μs and γ across the biologically relevant range.

© 2011 Optical Society of America

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References

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  1. N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
    [CrossRef] [PubMed]
  2. S. C. Kanick, U. A. Gamm, M. Schouten, H. J. C. M. Sterenborg, D. J. Robinson, and A. Amelink, Biomed. Opt. Express 2, 1687 (2011).
    [CrossRef] [PubMed]
  3. F. Bevilacqua and C. Depeursinge, J. Opt. Soc. Am. A 16, 2935 (1999).
    [CrossRef]
  4. E. L. Hull and T. H. Foster, J. Opt. Soc. Am. A 18, 584 (2001).
    [CrossRef]
  5. P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
    [CrossRef] [PubMed]
  6. A. Amelink, D. J. Robinson, and H. J. C. M. Sterenborg, J. Biomed. Opt. 13, 054044 (2008).
    [CrossRef] [PubMed]
  7. S. C. Kanick, H. J. C. M. Sterenborg, and A. Amelink, Opt. Express 17, 860 (2009).
    [CrossRef] [PubMed]
  8. S. C. Kanick, D. J. Robinson, H. J. C. M. Sterenborg, and A. Amelink, Phys. Med. Biol. 54, 6991 (2009).
    [CrossRef] [PubMed]
  9. P. R. Bargo, S. A. Prahl, and S. L. Jacques, Appl. Opt. 42, 3187 (2003).
    [CrossRef] [PubMed]

2011 (1)

2010 (1)

N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
[CrossRef] [PubMed]

2009 (2)

S. C. Kanick, D. J. Robinson, H. J. C. M. Sterenborg, and A. Amelink, Phys. Med. Biol. 54, 6991 (2009).
[CrossRef] [PubMed]

S. C. Kanick, H. J. C. M. Sterenborg, and A. Amelink, Opt. Express 17, 860 (2009).
[CrossRef] [PubMed]

2008 (1)

A. Amelink, D. J. Robinson, and H. J. C. M. Sterenborg, J. Biomed. Opt. 13, 054044 (2008).
[CrossRef] [PubMed]

2003 (2)

P. R. Bargo, S. A. Prahl, and S. L. Jacques, Appl. Opt. 42, 3187 (2003).
[CrossRef] [PubMed]

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

2001 (1)

1999 (1)

Amelink, A.

Backman, V.

N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
[CrossRef] [PubMed]

Bargo, P. R.

Bevilacqua, F.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

F. Bevilacqua and C. Depeursinge, J. Opt. Soc. Am. A 16, 2935 (1999).
[CrossRef]

Boppart, S.

N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
[CrossRef] [PubMed]

Boustany, N.

N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
[CrossRef] [PubMed]

Charvet, I.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Depeursinge, C.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

F. Bevilacqua and C. Depeursinge, J. Opt. Soc. Am. A 16, 2935 (1999).
[CrossRef]

Foster, T. H.

Gamm, U. A.

Hull, E. L.

Jacques, S. L.

Kanick, S. C.

Marquet, P.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Meda, P.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Ory, G.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Prahl, S. A.

Robinson, D. J.

S. C. Kanick, U. A. Gamm, M. Schouten, H. J. C. M. Sterenborg, D. J. Robinson, and A. Amelink, Biomed. Opt. Express 2, 1687 (2011).
[CrossRef] [PubMed]

S. C. Kanick, D. J. Robinson, H. J. C. M. Sterenborg, and A. Amelink, Phys. Med. Biol. 54, 6991 (2009).
[CrossRef] [PubMed]

A. Amelink, D. J. Robinson, and H. J. C. M. Sterenborg, J. Biomed. Opt. 13, 054044 (2008).
[CrossRef] [PubMed]

Schouten, M.

St. Ghislain, M.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Sterenborg, H. J. C. M.

Thueler, P.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Vermeulen, B.

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

Annu. Rev. Biomed. Eng. (1)

N. Boustany, S. Boppart, and V. Backman, Annu. Rev. Biomed. Eng. 12, 285 (2010).
[CrossRef] [PubMed]

Appl. Opt. (1)

Biomed. Opt. Express (1)

J. Biomed. Opt. (2)

P. Thueler, I. Charvet, F. Bevilacqua, M. St. Ghislain, G. Ory, P. Marquet, P. Meda, B. Vermeulen, and C. Depeursinge, J. Biomed. Opt. 8, 495 (2003).
[CrossRef] [PubMed]

A. Amelink, D. J. Robinson, and H. J. C. M. Sterenborg, J. Biomed. Opt. 13, 054044 (2008).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A (2)

Opt. Express (1)

Phys. Med. Biol. (1)

S. C. Kanick, D. J. Robinson, H. J. C. M. Sterenborg, and A. Amelink, Phys. Med. Biol. 54, 6991 (2009).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

(a)  R SF o versus μ s d fiber for three different PFs: PF 1 g = 0.8 , γ = 1.4 ; PF 2 g = 0.9 ; γ = 1.6 ; PF 3 g = 0.95 , γ = 1.8 . (b) MC simulated versus model estimates.

Fig. 2
Fig. 2

(a)  R SF o ( λ ) versus λ measured by d fiber [ 0.2 , 0.4 , 0.6 , 0.8 , 1.0 ] mm differentiated by symbols in legend. (b)  μ s ( λ ) versus λ specified in MC simulation and estimated by model. (c)  γ ( λ ) versus λ specified in MC simulation and estimated by model. (d)  R SF o ( λ ) simulated by MC versus estimated by model. Left panels correspond to a wavelength-independent γ. Right panels correspond to wavelength-dependent γ.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

R SF = R SF o e μ a L SF
R SF o = η limit ( 1 + ρ 3 e ( ρ 1 μ s d fiber ) ) [ ( μ s d fiber ) ρ 2 ρ 1 + ( μ s d fiber ) ρ 2 ] ,
p MHG ( θ ) = α p HG ( θ , g HG ) + ( 1 α ) 3 4 π cos 2 ( θ ) ,
[ ρ 1 = ξ 1 γ 2 ρ 2 = ξ 2 γ ρ 3 = ξ 3 γ 2 ]

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