Abstract

The correlation between intensity fluctuations of light scattered from a quasi-homogeneous random media was analytically derived. We showed the correlation depends on spatial Fourier transforms of both the intensity and degree of spatial correlation of scattering potentials of the media, while the normalized correlation equals the squared modulus of the degree of spatial coherence of the scattered fields.

© 2010 Optical Society of America

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References

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  1. D. Zhao, O. Korotkova, and E. Wolf, Opt. Lett. 32, 3483 (2007).
    [CrossRef] [PubMed]
  2. M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
    [CrossRef] [PubMed]
  3. A. Dogariu and E. Wolf, Opt. Lett. 23, 1340 (1998).
    [CrossRef]
  4. S. Sahin and O. Korotkova, Opt. Lett. 34, 1762 (2009).
    [CrossRef] [PubMed]
  5. X. Du and D. Zhao, Opt. Lett. 35, 1518 (2010).
    [CrossRef] [PubMed]
  6. X. Du and D. Zhao, Opt. Lett. 35, 384 (2010).
    [CrossRef] [PubMed]
  7. T. Wang and D. Zhao, Opt. Lett. 35, 318 (2010).
    [CrossRef] [PubMed]
  8. T. Wang and D. Zhao, Opt. Lett. 35, 2412 (2010).
    [CrossRef] [PubMed]
  9. S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
    [CrossRef]
  10. A. Al-Qasimi, M. Lahiri, D. Kuebel, D. F. V. James, and E. Wolf, Opt. Express 18, 17124 (2010).
    [CrossRef] [PubMed]
  11. S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
    [CrossRef]
  12. Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
    [CrossRef]
  13. M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).
  14. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  15. T. D. Visser, D. G. Fischer, and E. Wolf, J. Opt. Soc. Am. A 23, 1631 (2006).
    [CrossRef]

2010 (5)

2009 (2)

M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
[CrossRef] [PubMed]

S. Sahin and O. Korotkova, Opt. Lett. 34, 1762 (2009).
[CrossRef] [PubMed]

2008 (1)

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

2007 (3)

D. Zhao, O. Korotkova, and E. Wolf, Opt. Lett. 32, 3483 (2007).
[CrossRef] [PubMed]

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

2006 (1)

1998 (1)

Al-Qasimi, A.

Aruldoss, C.

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).

Castelletto, S.

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Chen, Y.

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

Crosby, S.

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Dogariu, A.

Du, X.

Fischer, D. G.

M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
[CrossRef] [PubMed]

T. D. Visser, D. G. Fischer, and E. Wolf, J. Opt. Soc. Am. A 23, 1631 (2006).
[CrossRef]

James, D. F. V.

A. Al-Qasimi, M. Lahiri, D. Kuebel, D. F. V. James, and E. Wolf, Opt. Express 18, 17124 (2010).
[CrossRef] [PubMed]

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

Korotkova, O.

Kuebel, D.

Lahiri, M.

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Roberts, A.

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Sahin, S.

Scholten, R. E.

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Shirai, T.

M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
[CrossRef] [PubMed]

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

Visser, T. D.

Volkov, S. N.

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

Wang, T.

Wolf, E.

A. Al-Qasimi, M. Lahiri, D. Kuebel, D. F. V. James, and E. Wolf, Opt. Express 18, 17124 (2010).
[CrossRef] [PubMed]

M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
[CrossRef] [PubMed]

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

D. Zhao, O. Korotkova, and E. Wolf, Opt. Lett. 32, 3483 (2007).
[CrossRef] [PubMed]

T. D. Visser, D. G. Fischer, and E. Wolf, J. Opt. Soc. Am. A 23, 1631 (2006).
[CrossRef]

A. Dogariu and E. Wolf, Opt. Lett. 23, 1340 (1998).
[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).

Xin, Y.

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

Zhao, D.

Zhao, Q.

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

Zhou, M.

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

J. Opt. A (1)

S. N. Volkov, D. F. V. James, T. Shirai, and E. Wolf, J. Opt. A 10, 055001 (2008).
[CrossRef]

J. Opt. Soc. Am. A (1)

New J. Phys. (1)

S. Crosby, S. Castelletto, C. Aruldoss, R. E. Scholten, and A. Roberts, New J. Phys. 9, 285 (2007).
[CrossRef]

Opt. Commun. (1)

Y. Xin, Y. Chen, Q. Zhao, and M. Zhou, Opt. Commun. 278, 247 (2007).
[CrossRef]

Opt. Express (1)

Opt. Lett. (7)

Phys. Rev. Lett. (1)

M. Lahiri, E. Wolf, D. G. Fischer, and T. Shirai, Phys. Rev. Lett. 102, 123901 (2009).
[CrossRef] [PubMed]

Other (2)

M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

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Equations (16)

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U ( s ) ( r ) = D U ( i ) ( r ) F ( r ) G ( r , r ) d 3 r .
C F ( r 1 , r 2 ) = S F ( r 1 ) S F ( r 2 ) × μ F ( r 1 , r 2 ) .
G ( r , r ) exp ( i k r ) r × exp ( i k r r · r ) ,
W ( s ) ( r 1 , r 2 ) = U ( s ) * ( r 1 ) U ( s ) ( r 2 ) ,
S ( s ) ( r u ) = | a | 2 r 2 D F * ( r ) F ( r ) F × exp [ i k ( s 0 u ) · ( r r ) ] d 3 r d 3 r .
I ( s ) ( r u ) = | a | 2 r 2 D F * ( r ) F ( r ) × exp [ i k ( s 0 u ) · ( r r ) ] d 3 r d 3 r .
CIF ( s ) ( r 1 , r 2 ) = Δ I ( s ) ( r 1 ) Δ I ( s ) ( r 2 ) .
CIF ( s ) ( r 1 u 1 , r 2 u 2 ) = | a | 4 r 1 2 r 2 2 D [ F * ( r ) F ( r ) F * ( r ) F ( r ) F ] × [ F * ( ρ ) F ( ρ ) F * ( ρ ) F ( ρ ) F ] F × exp [ i k ( s 0 u 1 ) · ( r r ) ] × exp [ i k ( s 0 u 2 ) · ( ρ ρ ) ] × d 3 r d 3 r d 3 ρ d 3 ρ .
[ F * ( r ) F ( r ) F * ( r ) F ( r ) F ] × [ F * ( ρ ) F ( ρ ) F * ( ρ ) F ( ρ ) F ] F = F * ( r ) F * ( ρ ) F ( r ) F ( ρ ) F F * ( r ) F ( r ) F F * ( ρ ) F ( ρ ) F .
F * ( r ) F * ( ρ ) F ( r ) F ( ρ ) F = F * ( r ) F ( r ) F F * ( ρ ) F ( ρ ) F + F * ( r ) F ( ρ ) F F * ( ρ ) F ( r ) F .
I 1 ( u 1 , u 2 ) = | a | 4 r 1 2 r 2 2 D F * ( r ) F ( ρ ) F exp [ i k ( s 0 u 1 ) · r ] × exp [ i k ( s 0 u 2 ) · ρ ] d 3 r d 3 ρ .
F * ( r ) F ( ρ ) F S F ( r + ρ 2 ) μ F ( r ρ ) , = S F ( R + ) μ F ( R ) .
I 1 = S ˜ F [ k ( u 2 u 1 ) ] μ ˜ F [ k ( s 0 u 1 + u 2 2 ) ] ,
I 2 = S ˜ F [ k ( u 2 u 1 ) ] μ ˜ F [ k ( s 0 u 1 + u 2 2 ) ] .
CIF ( s ) ( r 1 u 1 , r u 2 ) = | a | 4 r 1 2 r 2 2 | S ˜ F [ k ( u 2 u 1 ) ] | 2 , × μ ˜ F 2 [ k ( s 0 u 1 + u 2 2 ) ] .
NCIF ( s ) ( r 1 u 1 , r 2 u 2 ) = | S ˜ F [ k ( u 2 u 1 ) ] S ˜ F ( 0 ) | 2 μ ˜ F 2 [ k ( s 0 u 1 + u 2 2 ) ] μ ˜ F [ k ( s 0 u 1 ) ] μ ˜ F [ k ( s 0 u 2 ) ] .

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