Abstract

The speckle method of characterization of multiple scattering media by squared-pulse modulation of the probe light frequency is described. This method assumes the analysis of the decay in speckle modulation that is due to the superposition of two decorrelated blinking speckle patterns. Theoretical predictions based on the phenomenological model of formation of partially blurred speckles under the condition of frequency switching are in reasonable agreement with the corresponding experimental data.

© 2006 Optical Society of America

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References

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  1. A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
    [CrossRef]
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978).
  3. J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
    [CrossRef]
  4. C. A. Thompson, K. J. Webb, and A. M. Weiner, J. Opt. Soc. Am. A 14, 2269 (1997).
    [CrossRef]
  5. D. A. Zimnyakov, J.-T. Oh, Yu. P. Sinichkin, V. A. Trifonov, and E. V. Gurianov, J. Opt. Soc. Am. A 21, 59 (2004).
    [CrossRef]
  6. G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter 65, 409 (1987).
    [CrossRef]
  7. F. C. MacKintosh and S. John, Phys. Rev. B 40, 2382 (1989).
  8. D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.
  9. K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
    [CrossRef]

2004 (1)

2003 (1)

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

2002 (1)

D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.

2001 (1)

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

1997 (1)

1994 (1)

K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
[CrossRef]

1989 (1)

F. C. MacKintosh and S. John, Phys. Rev. B 40, 2382 (1989).

1987 (1)

G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter 65, 409 (1987).
[CrossRef]

1978 (1)

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

Briers, J. D.

D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.

Busch, K.

K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
[CrossRef]

Drexler, W.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Economou, E. N.

K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
[CrossRef]

Fercher, A. F.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Gurianov, E. V.

Hitzenberger, C. K.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Ishimaru, A.

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

John, S.

F. C. MacKintosh and S. John, Phys. Rev. B 40, 2382 (1989).

Lagendijk, A.

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Lasser, T.

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

MacKintosh, F. C.

F. C. MacKintosh and S. John, Phys. Rev. B 40, 2382 (1989).

Maret, G.

G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter 65, 409 (1987).
[CrossRef]

Noordam, L. D.

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Oh, J.-T.

Rella, C. W.

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Rivas, J. G.

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Sinichkin, Yu. P.

Soukoulis, S. M.

K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
[CrossRef]

Sprik, R.

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Thompson, C. A.

Trifonov, V. A.

Tuchin, V. V.

D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.

Webb, K. J.

Weiner, A. M.

Wolf, P. E.

G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter 65, 409 (1987).
[CrossRef]

Zimnyakov, D. A.

D. A. Zimnyakov, J.-T. Oh, Yu. P. Sinichkin, V. A. Trifonov, and E. V. Gurianov, J. Opt. Soc. Am. A 21, 59 (2004).
[CrossRef]

D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.

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

Phys. Rev. B (2)

F. C. MacKintosh and S. John, Phys. Rev. B 40, 2382 (1989).

K. Busch, S. M. Soukoulis, and E. N. Economou, Phys. Rev. B 50, 93 (1994).
[CrossRef]

Phys. Rev. E (1)

J. G. Rivas, R. Sprik, A. Lagendijk, L. D. Noordam, and C. W. Rella, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Rep. Prog. Phys. (1)

A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, Rep. Prog. Phys. 66, 239 (2003).
[CrossRef]

Z. Phys. B: Condens. Matter (1)

G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter 65, 409 (1987).
[CrossRef]

Other (2)

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

D. A. Zimnyakov, J. D. Briers, and V. V. Tuchin, in Handbook of Optical Medical Diagnostics, V.V.Tuchin, ed. (SPIE Press, 2002), pp. 987-1036.

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Figures (2)

Fig. 1
Fig. 1

Normalized oscillation index β ̃ versus V: 1, I, 638 nm; 2, II, 638 nm; 3, II, 830 nm; 4, I, 830 nm.

Fig. 2
Fig. 2

Inset, FWHM values of β ̃ peaks versus L 2 l * : 3, II, 830 nm; 4, II, 638 nm; 5, I, 830 nm; 6, I, 638 nm. 1, 2, dependences η 0.5 ( L 2 l * ) obtained with Monte Carlo simulations for L = 25 μ m (1) and L = 900 μ m (2). The refractive indices of both scattering systems were taken equal to 1.5, close to the values of n for the samples examined[7]; diffuse transmittance analysis on the basis of coherent potential approximation.[9] ρ ( Δ s ) for sample II retrieved from experimental data (1, 638 nm; 2, 830 nm) and obtained by the Monte Carlo method (3, 638 nm; 4, 830 nm).

Equations (4)

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I E ¯ 2 = i = 1 N E 0 i exp ( j 2 π s i n λ 0 ) 2 = i 1 N E 0 i 2 + i N i i N E 0 i E 0 i cos [ 2 π ( s i s i ) n λ 0 ] ,
I i = 1 N E 0 i 2 + i = 1 N i = i N E 0 i E 0 i [ 1 T 0 T cos { 2 π ( s i s i ) n λ 0 [ 1 α ( t ) ] } d t ] ,
I ¯ 2 I ̃ 2 [ N 2 + ( N 2 N ) k cos 2 ( 2 π Δ s k n a max λ 0 ) P k ] ,
β = 0 ρ ( Δ s ) cos 2 ( 2 π Δ s n Δ λ λ 0 2 ) d ( Δ s ) .

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