Abstract

Random electromagnetic fields have a number of distinctive statistical properties that may depend on their origin. We show that, when two mutually coherent fields overlap, their individual characteristics are not completely lost. If assumptions can be made regarding the coherence properties of one of the fields, then the correlation length of the second one can be retrieved using the higher-order polarization properties of the combined field. We demonstrate experimentally that colloidal particles of different sizes can be identified based on polarization correlations measured even in situations of strong multiple scattering.

© 2014 Optical Society of America

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References

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2011 (1)

2010 (1)

2008 (1)

2004 (1)

2003 (1)

A. Dogariu and E. Wolf, J. Mod. Opt. 50, 1791 (2003).
[CrossRef]

2001 (1)

1999 (1)

P. Sebbah, O. Legrand, and A. Z. Genack, Phys. Rev. E 59, 2406 (1999).
[CrossRef]

1989 (1)

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

1988 (1)

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

1987 (2)

M. J. Stephen and G. Cwilich, Phys. Rev. Lett. 59, 285 (1987).
[CrossRef]

B. Ruth, J. Mod. Opt. 34, 257 (1987).
[CrossRef]

1986 (1)

B. Shapiro, Phys. Rev. Lett. 57, 2168 (1986).
[CrossRef]

1976 (1)

H. Fuji, T. Asakura, and Y. Shindo, Opt. Commun. 16, 68 (1976).
[CrossRef]

Asakura, T.

H. Fuji, T. Asakura, and Y. Shindo, Opt. Commun. 16, 68 (1976).
[CrossRef]

Brogioli, D.

Broky, J.

Carpineti, M.

Collett, E.

E. Collett, Polarized Light: Fundamentals and Applications, 1st ed. (CRC Press, 1992).

Cwilich, G.

M. J. Stephen and G. Cwilich, Phys. Rev. Lett. 59, 285 (1987).
[CrossRef]

Dogariu, A.

Ellis, J.

Feng, S.

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Freund, I.

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Fuji, H.

H. Fuji, T. Asakura, and Y. Shindo, Opt. Commun. 16, 68 (1976).
[CrossRef]

Genack, A. Z.

P. Sebbah, O. Legrand, and A. Z. Genack, Phys. Rev. E 59, 2406 (1999).
[CrossRef]

Giglio, M.

Goodman, J. W.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts, 2007).

Legrand, O.

P. Sebbah, O. Legrand, and A. Z. Genack, Phys. Rev. E 59, 2406 (1999).
[CrossRef]

MacKintosh, F. C.

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

Pine, D. J.

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

Rosenbluh, M.

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Ruth, B.

B. Ruth, J. Mod. Opt. 34, 257 (1987).
[CrossRef]

Sebbah, P.

P. Sebbah, O. Legrand, and A. Z. Genack, Phys. Rev. E 59, 2406 (1999).
[CrossRef]

Shapiro, B.

B. Shapiro, Phys. Rev. Lett. 57, 2168 (1986).
[CrossRef]

Shindo, Y.

H. Fuji, T. Asakura, and Y. Shindo, Opt. Commun. 16, 68 (1976).
[CrossRef]

Stephen, M. J.

M. J. Stephen and G. Cwilich, Phys. Rev. Lett. 59, 285 (1987).
[CrossRef]

Vailati, A.

Weitz, D. A.

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

Wolf, E.

E. Wolf, Opt. Lett. 33, 642 (2008).
[CrossRef]

A. Dogariu and E. Wolf, J. Mod. Opt. 50, 1791 (2003).
[CrossRef]

Zhu, J. X.

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

Appl. Opt. (1)

J. Mod. Opt. (2)

A. Dogariu and E. Wolf, J. Mod. Opt. 50, 1791 (2003).
[CrossRef]

B. Ruth, J. Mod. Opt. 34, 257 (1987).
[CrossRef]

Opt. Commun. (1)

H. Fuji, T. Asakura, and Y. Shindo, Opt. Commun. 16, 68 (1976).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (1)

F. C. MacKintosh, J. X. Zhu, D. J. Pine, and D. A. Weitz, Phys. Rev. B 40, 9342 (1989).

Phys. Rev. E (1)

P. Sebbah, O. Legrand, and A. Z. Genack, Phys. Rev. E 59, 2406 (1999).
[CrossRef]

Phys. Rev. Lett. (3)

M. J. Stephen and G. Cwilich, Phys. Rev. Lett. 59, 285 (1987).
[CrossRef]

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

B. Shapiro, Phys. Rev. Lett. 57, 2168 (1986).
[CrossRef]

Other (2)

E. Collett, Polarized Light: Fundamentals and Applications, 1st ed. (CRC Press, 1992).

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts, 2007).

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Figures (3)

Fig. 1.
Fig. 1.

Values of M2 of CDMP map correlations as a function of the global degree of polarization P¯ for different values of correlation lengths δP, as indicated. The correlation length of the globally unpolarized component is δU.

Fig. 2.
Fig. 2.

Experimental dependence of the widths M2 of CDMP maps correlations on the global degree of polarization for media consisting of different particle sizes as indicated. Inset illustrates the different origins of coherently overlapping REFs.

Fig. 3.
Fig. 3.

Experimental plot of the half-width M2 as a function of average separation d for different particle sizes. Inset illustrates the scattering angle as it relates to M2 and d.

Equations (2)

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V2(r)=(ExR*(r)ExP+EyR*(r)EyP)2(|ExR(r)|2+|EyR(r)|2)(|ExP|2+|EyP|2),
F(x,y)=V2(m,n)V2(x+m,y+n)dmdn.

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