Abstract

Based on optical-path-length spectroscopy, we present a method for determining optical diffusion coefficients that does not require a priori knowledge about the physical properties of inherent interfaces. Comparisons are made with both standard theoretical estimates for bulk diffusion and with traditional approaches relying on surface corrections.

© 2009 Optical Society of America

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References

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    [CrossRef]

2008

2007

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

2001

2000

G. Popescu, C. Mujat, and A. Dogariu, Phys. Rev. E 61, 4523 (2000).
[CrossRef]

1999

G. Popescu and A. Dogariu, Opt. Lett. 24, 442 (1999).
[CrossRef]

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

1998

K. K. Bizheva, A. M. Siegel, and D. A. Boas, Phys. Rev. E 58, 7664 (1998).
[CrossRef]

1995

1994

1993

1992

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

1991

J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. A 44, 3948 (1991).
[CrossRef] [PubMed]

1989

A. Lagendijk, R. Vreeker, and P. de Vries, Phys. Lett. A 136, 81 (1989).
[CrossRef]

M. S. Patterson, B. Chance, and B. C. Wilson, Appl. Opt. 28, 2331 (1989).
[CrossRef] [PubMed]

1988

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Alfano, R. R.

Aronson, R.

Bizheva, K. K.

K. K. Bizheva, A. M. Siegel, and D. A. Boas, Phys. Rev. E 58, 7664 (1998).
[CrossRef]

Boas, D. A.

K. K. Bizheva, A. M. Siegel, and D. A. Boas, Phys. Rev. E 58, 7664 (1998).
[CrossRef]

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

Chaikin, P. M.

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Chance, B.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

M. S. Patterson, B. Chance, and B. C. Wilson, Appl. Opt. 28, 2331 (1989).
[CrossRef] [PubMed]

Chandrasekhar, S.

S. Chandrasekhar, Radiative Transfer (Dover, 1960).

da Silva, A.

Dasari, R. R.

de Vries, P.

A. Lagendijk, R. Vreeker, and P. de Vries, Phys. Lett. A 136, 81 (1989).
[CrossRef]

Dinten, J. -M.

Dogariu, A.

G. Popescu, C. Mujat, and A. Dogariu, Phys. Rev. E 61, 4523 (2000).
[CrossRef]

G. Popescu and A. Dogariu, Opt. Lett. 24, 442 (1999).
[CrossRef]

Ducros, N.

Feld, M. S.

Feng, T. -C.

Haskell, R. C.

Herbolzheimer, E.

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978).

Lagendijk, A.

A. Lagendijk, R. Vreeker, and P. de Vries, Phys. Lett. A 136, 81 (1989).
[CrossRef]

Liu, F.

Mcadams, M. S.

Mujat, C.

G. Popescu, C. Mujat, and A. Dogariu, Phys. Rev. E 61, 4523 (2000).
[CrossRef]

Nieuwenhuizen, T. M.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

O'Leary, M. A.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

Patterson, M. S.

Peyrin, F.

Pine, D. J.

J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. A 44, 3948 (1991).
[CrossRef] [PubMed]

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Popescu, G.

G. Popescu, C. Mujat, and A. Dogariu, Phys. Rev. E 61, 4523 (2000).
[CrossRef]

G. Popescu and A. Dogariu, Opt. Lett. 24, 442 (1999).
[CrossRef]

Rajan, V.

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

Siegel, A. M.

K. K. Bizheva, A. M. Siegel, and D. A. Boas, Phys. Rev. E 58, 7664 (1998).
[CrossRef]

Steenbergen, W.

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

Svaasand, L. O.

Tromberg, B. J.

Tsay, T. -T.

Van Leeuwen, T. G.

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

van Rossum, M. C. W.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

Varghese, B.

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

Vreeker, R.

A. Lagendijk, R. Vreeker, and P. de Vries, Phys. Lett. A 136, 81 (1989).
[CrossRef]

Wax, A.

Weitz, D. A.

J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. A 44, 3948 (1991).
[CrossRef] [PubMed]

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Wilson, B. C.

Yang, C.

Yodh, A. G.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

Yoo, K. M.

Zhu, J. X.

J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. A 44, 3948 (1991).
[CrossRef] [PubMed]

Appl. Opt.

J. Biomed. Opt.

B. Varghese, V. Rajan, T. G. Van Leeuwen, and W. Steenbergen, J. Biomed. Opt. 12, 024020 (2007).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A

Opt. Lett.

Phys. Lett. A

A. Lagendijk, R. Vreeker, and P. de Vries, Phys. Lett. A 136, 81 (1989).
[CrossRef]

Phys. Rev. A

J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. A 44, 3948 (1991).
[CrossRef] [PubMed]

Phys. Rev. E

G. Popescu, C. Mujat, and A. Dogariu, Phys. Rev. E 61, 4523 (2000).
[CrossRef]

K. K. Bizheva, A. M. Siegel, and D. A. Boas, Phys. Rev. E 58, 7664 (1998).
[CrossRef]

Phys. Rev. Lett.

M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, Phys. Rev. Lett. 69, 2658 (1992).
[CrossRef] [PubMed]

D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
[CrossRef] [PubMed]

Rev. Mod. Phys.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

Other

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978).

S. Chandrasekhar, Radiative Transfer (Dover, 1960).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup comprising a fiber-based Michelson interferometer with a broadband source centered at 1300 nm. Both monostatic and bistatic distributions are recorded simultaneously during a scan. The inset illustrates the three signals that are recorded as a function of path length when the reference mirror is scanned.

Fig. 2
Fig. 2

(a) Measured monostatic distributions of photon path lengths from a colloidal suspension of 0.43 μ m diameter polystyrene spheres in water (10% spheres by volume) with both an index mismatched and a matched interface. (b) Bistatic distributions corresponding to the same medium at different fiber separations and a mismatched interface.

Fig. 3
Fig. 3

Diffusion coefficients obtained from monostatic and bistatic analyses. A, B, and C denote samples with index mismatched interfaces, whereas A , B , and C denote the same samples having matched interfaces. Error bars represent the rms fluctuations about the average D ¯ of a given data set.

Equations (2)

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J ( s , ρ ) = A s 5 / 2 exp ( ρ 2 + z b 2 4 D s μ a s ) ,
ln [ J ( s , ρ 1 ) J ( s , ρ 2 ) ] = ρ 2 2 ρ 1 2 4 D s .

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