Abstract

Formation of speckled speckles in the case of biflow perfusion by partially coherent light was considered. Dependencies of statistical characteristics of low-coherence biospeckles with a small number of scatterers on the scattering properties of the flow and on the coherence length of incident light were analyzed. It was shown that the value of the Doppler bandwidth in the scattered light essentially depends on the ratio between the coherence length and the average size of the flow’s inhomogeneities. A procedure for reconstructing velocity distribution in a single blood vessel was suggested.

© 2000 Optical Society of America

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References

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  1. Zh. Chen, T. E. Milner, D. Dave, J. S. Nelson, “Optical Doppler tomographic imaging of fluid flow velocity in highly scattering media,” Opt. Lett. 22, 64–66 (1997).
  2. J. A. Izatt, M. D. Kulkarni, S. Yazdanfar, J. K. Barton, A. J. Welch, “In vivo bidirectional color Doppler flow imaging of picoliter blood volumes using optical coherence tomography,” Opt. Lett. 22, 1439–1441 (1997).
    [CrossRef]
  3. X.-J. Wang, T. E. Milner, Zh. Chen, J. S. Nelson, “Measurement of fluid-flow-velocity profile in turbid media by the use of optical Doppler tomography,” Appl. Opt. 36, 144–149 (1997).
  4. E. Jakeman, “Speckle statistics with a small number of scatterers,” Opt. Eng. 23, 453–461 (1984).
    [CrossRef]
  5. S. Ul’yanov, “Dynamics of statistically inhomogeneous speckles: a new type of manifestation of the Doppler effect,” Opt. Lett. 20, 1313–1315 (1995).
    [CrossRef] [PubMed]
  6. T. Yoshimura, K. Fujiwara, “Statistical properties of doubly scattered image speckle,” J. Opt. Soc. Am. 9, 91–95 (1992).
    [CrossRef]
  7. T. Okamoto, T. Asakura, “Velocity measurements of two diffusers using a temporal correlation length of doubly scattered speckle,” J. Mod. Opt. 37, 389–408 (1990).
    [CrossRef]
  8. S. Ulyanov, “Speckled speckles statistics with a small number of scatterers: an implication for blood flow measurements,” J. Biomed. Opt. 3, 227–236 (1998).
    [CrossRef]
  9. S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
    [CrossRef]
  10. V. Ryabukho, S. Ulyanov, “Spectral characteristics of dynamic speckle-fields interference signal for surfaces motion measurements,” Measurements 10, 39–42 (1992).

1998 (1)

S. Ulyanov, “Speckled speckles statistics with a small number of scatterers: an implication for blood flow measurements,” J. Biomed. Opt. 3, 227–236 (1998).
[CrossRef]

1997 (4)

1995 (1)

1992 (2)

T. Yoshimura, K. Fujiwara, “Statistical properties of doubly scattered image speckle,” J. Opt. Soc. Am. 9, 91–95 (1992).
[CrossRef]

V. Ryabukho, S. Ulyanov, “Spectral characteristics of dynamic speckle-fields interference signal for surfaces motion measurements,” Measurements 10, 39–42 (1992).

1990 (1)

T. Okamoto, T. Asakura, “Velocity measurements of two diffusers using a temporal correlation length of doubly scattered speckle,” J. Mod. Opt. 37, 389–408 (1990).
[CrossRef]

1984 (1)

E. Jakeman, “Speckle statistics with a small number of scatterers,” Opt. Eng. 23, 453–461 (1984).
[CrossRef]

Asakura, T.

T. Okamoto, T. Asakura, “Velocity measurements of two diffusers using a temporal correlation length of doubly scattered speckle,” J. Mod. Opt. 37, 389–408 (1990).
[CrossRef]

Barton, J. K.

Bednov, A.

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

Brill, G.

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

Chen, Zh.

Dave, D.

Fujiwara, K.

Izatt, J. A.

Jakeman, E.

E. Jakeman, “Speckle statistics with a small number of scatterers,” Opt. Eng. 23, 453–461 (1984).
[CrossRef]

Kulkarni, M. D.

Milner, T. E.

Nelson, J. S.

Okamoto, T.

T. Okamoto, T. Asakura, “Velocity measurements of two diffusers using a temporal correlation length of doubly scattered speckle,” J. Mod. Opt. 37, 389–408 (1990).
[CrossRef]

Ryabukho, V.

V. Ryabukho, S. Ulyanov, “Spectral characteristics of dynamic speckle-fields interference signal for surfaces motion measurements,” Measurements 10, 39–42 (1992).

Tuchin, V.

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

Ul’yanov, S.

Ulyanov, S.

S. Ulyanov, “Speckled speckles statistics with a small number of scatterers: an implication for blood flow measurements,” J. Biomed. Opt. 3, 227–236 (1998).
[CrossRef]

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

V. Ryabukho, S. Ulyanov, “Spectral characteristics of dynamic speckle-fields interference signal for surfaces motion measurements,” Measurements 10, 39–42 (1992).

Wang, X.-J.

Welch, A. J.

Yazdanfar, S.

Yoshimura, T.

Zakharova, E.

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

Appl. Opt. (1)

J. Biomed. Opt. (1)

S. Ulyanov, “Speckled speckles statistics with a small number of scatterers: an implication for blood flow measurements,” J. Biomed. Opt. 3, 227–236 (1998).
[CrossRef]

J. Mod. Opt. (1)

T. Okamoto, T. Asakura, “Velocity measurements of two diffusers using a temporal correlation length of doubly scattered speckle,” J. Mod. Opt. 37, 389–408 (1990).
[CrossRef]

J. Opt. Soc. Am. (1)

Lasers Med. Sci. (1)

S. Ulyanov, V. Tuchin, A. Bednov, G. Brill, E. Zakharova, “The applications of speckle interferometry for the monitoring of blood and lymph flow in microvessels,” Lasers Med. Sci. 12, 31–41 (1997).
[CrossRef]

Measurements (1)

V. Ryabukho, S. Ulyanov, “Spectral characteristics of dynamic speckle-fields interference signal for surfaces motion measurements,” Measurements 10, 39–42 (1992).

Opt. Eng. (1)

E. Jakeman, “Speckle statistics with a small number of scatterers,” Opt. Eng. 23, 453–461 (1984).
[CrossRef]

Opt. Lett. (3)

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Figures (3)

Fig. 1
Fig. 1

(a) Illustration for the process of formation of dynamic speckled speckles. (b) Explanation of notation: n 0 = Δr/ L c , Δn = L coh/L c , Δr + r = r 0.

Fig. 2
Fig. 2

Dependence of normalized bandwidth of Doppler signal spectrum on the number of selected screens. (a) Comparison with velocity profile. Pluses, normalized bandwidth of spectrum; solid curve, normalized velocity of the screens, W 0/L c = 3. (b) Dependence for different thickness of selected volume. a, Δn = 1; b, Δn = 3; c, Δn = 5; d, Δn = 7.5. (c) Comparison with experiment. Solid curve, velocity profile; dots, experimental data from Ref. 1.

Fig. 3
Fig. 3

Calibration functions R(r n /r 0). (a) Results of calculations: a, Δn = 7.5; b, Δn = 5; c, Δn = 3. (b) Results of experiments. (c) Interpretation of effect of dynamic speckle diffraction from motionless scatterers.

Equations (12)

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

Γunt=exp-Anνntλ2,
An=An-1λWn-14+Ψn22An-1λWn-12+λWn-14+Ψn2+4π2σ2Lc2,
Wn=2An-1λWn-12+λWn-14+Ψn22π2λ2ΔZn2λWn-120.5,
Ψn=-π ZnλZn2λ2+π2W04λ4+πλΔZn,
n0integerΔr/Lc.
ΔnintegerLcoh/Lc.
Γintt=2 ReΓu1*tΓu2t,
Γintt  |Γ2t|.
νn=νmax1-rn/r02,
Δnintegerd/Lcoh.
ΔFn=Rnνn,
νn=ΔFnRrn/r0,

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