Abstract

By varying the absorption coefficient and width of an intralipid–India ink solution in a quasi-one-dimensional experiment, we investigate the transition between the ballistic and the diffusive regimes. The medium’s attenuation coefficient changes abruptly between two different values within a single mean free path. This problem is analyzed both experimentally and theoretically, and it is demonstrated that the transition location depends on the scattering coefficient as well as on the measuring solid angle.

© 2011 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

2009

Y. Wan, Y. Wu, and Z.-Q. Zhang, J. Acoust. Soc. Am. 126, 1807 (2009).
[CrossRef] [PubMed]

2004

2002

X. Zhang and Z.-Q. Zhang, Phys. Rev. E 66, 016612 (2002).
[CrossRef]

1997

M. Kempe, A. Z. Genack, W. Rudolph, and P. Dorn, J. Opt. Soc. Am. A 14, 216 (1997).
[CrossRef]

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

1993

1992

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

1991

1990

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[CrossRef] [PubMed]

Alfano, R. R.

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[CrossRef] [PubMed]

Carminati, R.

de Vries, P.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

Dorn, P.

Elaloufi, R.

Flock, S. T.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

Fujimoto, J. G.

Genack, A. Z.

Greffet, J.-J.

Gupta, P. K.

P. K. Gupta, “Tissue Optics,” http://www.ias.ac.in/currsci/may25/articles22.htm.

Hee, M. R.

Izatt, J. A.

Jacobson, J. M.

Jacques, S. L.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

Kempe, M.

Kop, R. H. J.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

Lagendijk, A.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

Liu, F.

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[CrossRef] [PubMed]

Moes, C. J. M.

Prahl, S. A.

Rudolph, W.

Sprik, R.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

Star, W. M.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

Tuchin, V. V.

V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis, Vol.  TT38 of SPIE Tutorial Texts in Optical Engineering (SPIE, 2000).

van Gemert, M. J. C.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

H. G. van Staveren, C. J. M. Moes, J. van Marle, S. A. Prahl, and M. J. C. van Gemert, Appl. Opt. 30, 4507 (1991).
[CrossRef] [PubMed]

van Marle, J.

van Staveren, H. G.

Wan, Y.

Y. Wan, Y. Wu, and Z.-Q. Zhang, J. Acoust. Soc. Am. 126, 1807 (2009).
[CrossRef] [PubMed]

Wilson, B. C.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

Wu, Y.

Y. Wan, Y. Wu, and Z.-Q. Zhang, J. Acoust. Soc. Am. 126, 1807 (2009).
[CrossRef] [PubMed]

Yoo, K. M.

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[CrossRef] [PubMed]

Zhang, X.

X. Zhang and Z.-Q. Zhang, Phys. Rev. E 66, 016612 (2002).
[CrossRef]

Zhang, Z.-Q.

Y. Wan, Y. Wu, and Z.-Q. Zhang, J. Acoust. Soc. Am. 126, 1807 (2009).
[CrossRef] [PubMed]

X. Zhang and Z.-Q. Zhang, Phys. Rev. E 66, 016612 (2002).
[CrossRef]

Appl. Opt.

J. Acoust. Soc. Am.

Y. Wan, Y. Wu, and Z.-Q. Zhang, J. Acoust. Soc. Am. 126, 1807 (2009).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A

Lasers Surg. Med.

S. T. Flock, S. L. Jacques, B. C. Wilson, W. M. Star, and M. J. C. van Gemert, Lasers Surg. Med. 12, 510 (1992).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Rev. E

X. Zhang and Z.-Q. Zhang, Phys. Rev. E 66, 016612 (2002).
[CrossRef]

Phys. Rev. Lett.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, Phys. Rev. Lett. 79, 4369 (1997).
[CrossRef]

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[CrossRef] [PubMed]

Other

V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis, Vol.  TT38 of SPIE Tutorial Texts in Optical Engineering (SPIE, 2000).

P. K. Gupta, “Tissue Optics,” http://www.ias.ac.in/currsci/may25/articles22.htm.

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Figures (2)

Fig. 1
Fig. 1

Schematic illustration of the experiment.

Fig. 2
Fig. 2

Transmission through diffusive medium versus sample width, for various absorption coefficients. The transition area is shown in the inset.

Equations (7)

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2 ρ D / z 2 = 3 ( μ s + μ a ) μ a ρ D .
I / I 0 = ρ / ρ 0 = exp ( μ s z ) + ( δ Ω / 4 π ) exp ( μ eff z ) ,
z c ( μ eff μ s ) 1 ln ( δ Ω / 4 π ) .
z c max 2 μ eff μ s ln ( λ d π ) 2 μ s ln ( d π λ )
d z > d μ s 2 ln ( d π / λ ) = λ μ s ( d π / λ ) 2 π ln ( d π / λ ) > e μ s k ,
I / I 0 = 2 ( δ Ω / 4 π ) ( μ s μ eff μ s ) δ Ω / 2 π .
I / I 0 = ρ / ρ 0 = exp ( μ s z ) + ε exp ( μ eff z ) .

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