Abstract

A two-beam random interferometer is demonstrated where coupling is facilitated by a scattering medium. A modulation observed in the normalized second-order intensity frequency correlation of the transmitted light is attributed to the relative temporal delay of the two beams and is insensitive to beam alignment and spacing.

© 2007 Optical Society of America

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References

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  1. A. B. Milstein, S. Oh, J. S. Reynolds, K. J. Webb, C. A. Bouman, and R. P. Millane, Opt. Lett. 27, 95 (2002).
    [CrossRef]
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    [CrossRef] [PubMed]
  3. M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
    [CrossRef] [PubMed]
  4. B. Moslehi, J. W. Goodman, and E. G. Rawson, Appl. Opt. 22, 995 (1983).
    [CrossRef] [PubMed]
  5. J. W. Goodman, Statistical Optics (Wiley, 1985).
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  7. L. Mandel, J. Opt. Soc. Am. 52, 1335 (1962).
    [CrossRef]
  8. I. Freund, Physica A 168, 49 (1990).
    [CrossRef]

2002 (2)

2000 (1)

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

1990 (1)

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

1983 (1)

1965 (1)

R. Hanbury-Brown and R. Q. Twiss, Nature 178, 1449 (1965).

1962 (1)

Balents, L.

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Baranger, H. U.

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Bouman, C. A.

Freund, I.

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

Goodman, J. W.

Hanbury-Brown, R.

R. Hanbury-Brown and R. Q. Twiss, Nature 178, 1449 (1965).

Mandel, L.

Millane, R. P.

Milstein, A. B.

Moslehi, B.

Moustakas, A. L.

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Oh, S.

Rawson, E. G.

Reynolds, J. S.

Sengupta, A. M.

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Simon, S. H.

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Twiss, R. Q.

R. Hanbury-Brown and R. Q. Twiss, Nature 178, 1449 (1965).

Webb, K. J.

Webster, M. A.

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef] [PubMed]

Weiner, A. M.

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef] [PubMed]

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Nature (1)

R. Hanbury-Brown and R. Q. Twiss, Nature 178, 1449 (1965).

Opt. Lett. (1)

Phys. Rev. Lett. (1)

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef] [PubMed]

Physica A (1)

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

Science (1)

A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta, and S. H. Simon, Science 287, 287 (2000).
[CrossRef] [PubMed]

Other (1)

J. W. Goodman, Statistical Optics (Wiley, 1985).

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Figures (4)

Fig. 1
Fig. 1

Two-beam random medium interferometer experimental setup.

Fig. 2
Fig. 2

Second-order frequency intensity correlation measurement (solid curves) for two coincident input beams having (a) S 1 S 2 = 5 cm and (b) S 1 S 2 = 14 cm . The dotted–dashed curve shows the case for a single beam, and the dashed curve shows the result from a diffusion equation model. The sample thickness is 6 mm , and μ s = 14 cm 1 .

Fig. 3
Fig. 3

Second-order frequency correlations measured for two samples having μ s = 4 cm 1 and a thickness of 9 mm (solid curve) or 12 mm (dashed curve). S 1 S 2 = 8 cm .

Fig. 4
Fig. 4

(a) Measured average transmitted intensity with coincident and spatially separated input beams. (b) Measured second-order correlation. The sample had μ s = 4 cm 1 and a thickness of 9 mm , and S 1 S 2 = 8 cm .

Equations (5)

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I ̃ ( ν + Δ ν ) I ̃ ( ν ) = P ( Δ ν ) 2 ,
p ( t ) = 1 2 p 0 ( t ) + 1 2 p 0 ( t δ t ) ,
I ̃ ( ν + Δ ν ) I ̃ ( ν ) = P 0 ( Δ ν ) 2 cos 2 ( π Δ ν δ t ) ,
δ ν = 1 δ t = c 2 S 1 S 2 ,
p ( t ) = w p 1 ( t ) + ( 1 w ) p 2 ( t δ t ) ,

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