Abstract

A theory of pulse propagation in a diffuse medium recently developed by Ishimaru [J. Opt. Soc. Am. 68, 1045 (1978)] predicts that the effective velocity of the diffuse light in a random distribution of scatterers is 1/3 of the light velocity in the homogeneous medium surrounding the scatterers. We present an experimental study of this reduced effective velocity of diffuse light using a picosecond Kerr-effect ultrafast shutter. The results show that the slowing rate is close to the theoretically predicted value of 3.

© 1980 Optical Society of America

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References

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  1. G. C. Mooradian, M. Geller, L. B. Stotts, D. H. Stephens, R. A. Krautwald, Appl. Opt. 18, 429 (1979).
    [CrossRef] [PubMed]
  2. A. Ishimaru, Radio Sci. 14, 269 (1979).
    [CrossRef]
  3. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
  4. A. Ishimaru, J. Opt. Soc. Am. 68, 1045 (1978).
    [CrossRef]
  5. K. Shimizu, A. Ishimaru, L. Reynolds, A. P. Bruckner, Appl. Opt. 18, 3484 (1979).
    [CrossRef] [PubMed]
  6. A. P. Bruckner, Appl. Opt. 17, 3177 (1978).
    [CrossRef] [PubMed]
  7. K. Shimizu, Ph.D. dissertation (University of Washington, Seattle, Washington, 1979).

1979 (3)

1978 (2)

Appl. Opt. (3)

J. Opt. Soc. Am. (1)

Radio Sci. (1)

A. Ishimaru, Radio Sci. 14, 269 (1979).
[CrossRef]

Other (2)

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

K. Shimizu, Ph.D. dissertation (University of Washington, Seattle, Washington, 1979).

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Figures (4)

Fig. 1
Fig. 1

Geometry of light-velocity measurement.

Fig. 2
Fig. 2

Observed pulse shape for θ = 21.6°:t1, t2, ta, and tb are defined in the text.

Fig. 3
Fig. 3

Agreement between (a), (b) theory and (a′), (b′) measurement in off-axis backscattered pulse shapes from dense media: 2.02-μm ϕ latex spheres, density ρ = 10 wt. % (solid line) and 1 wt. % (dashed line), beam width W = 10 psec. (a), (a′) θ = 2.76°; (b), (b′) θ = 8.25°.

Fig. 4
Fig. 4

Slowing rate of velocity of light in diffuse media: circles are measurements, solid and dashed lines show positions of 3 and 1.0, respectively, for comparison.

Tables (1)

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Table 1 Slowing Rate of Light Velocity in Diffuse Medium

Equations (5)

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( 2 - 3 c 2 2 t 2 - 1 D 2 t - 3 ρ 2 σ tr σ a ) V d ( r ¯ , t ) = - Q 0 ( r ¯ , t ) Q 0 ( r ¯ , t ) = 3 ρ σ s 4 π [ ρ ( σ tr + μ ¯ σ t ) + ( 1 + μ ¯ ) 1 c t ] × F 0 ( ρ ¯ ) e - ρ σ t z δ ( t - z / c ) ,
t a = ( L 1 + L 2 ) / c ,
t b = L 3 / v ,
v = L 3 / ( L 1 + L 2 c - Δ t m ) .
α = c v = L 1 + L 2 - ( Δ l m ) / n L 3 ,

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