Abstract

A new technique to generate a spatially varying coherence field, such as a coherence comb using a Dammann grating, is proposed and experimentally demonstrated. The principle of the technique lies with the vectorial van Cittert–Zernike theorem, which connects vectorial source structure with the coherence–polarization of the light. The Dammann grating is encoded into one of the polarization components of the light to shape the vectorial source structure and, consequently, the coherence–polarization of the light. Experimental results on the generation of a spatial coherence comb by the Dammann grating are presented for different orders.

© 2014 Optical Society of America

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References

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Y. Chen, F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, Phys. Rev. A 89, 013801 (2014).
[CrossRef]

C. Liang, F. Wang, X. Liu, Y. Cai, and O. Korotkova, Opt. Lett. 39, 769 (2014).
[CrossRef]

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2012 (4)

2011 (2)

2010 (1)

2009 (1)

2005 (1)

2003 (1)

2000 (1)

1998 (1)

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U. Krackhardt and N. Striebl, Opt. Commun. 3, 312 (1989).

1977 (1)

H. Dammann and E. Klotz, Optica Acta 24, 505 (1977).
[CrossRef]

1971 (1)

H. Dammann and K. Gortler, Opt. Commun. 74, 31 (1971).

Borghi, R.

Brundabanam, M. M.

Cai, Y.

Chen, Y.

Y. Chen, F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, Phys. Rev. A 89, 013801 (2014).
[CrossRef]

Chen, Z.

Cottrell, D. M.

Cui, S.

Dammann, H.

H. Dammann and E. Klotz, Optica Acta 24, 505 (1977).
[CrossRef]

H. Dammann and K. Gortler, Opt. Commun. 74, 31 (1971).

Davis, J. A.

Duan, Z.

Friberg, A. T.

Gori, F.

Gortler, K.

H. Dammann and K. Gortler, Opt. Commun. 74, 31 (1971).

Itou, H.

Klotz, E.

H. Dammann and E. Klotz, Optica Acta 24, 505 (1977).
[CrossRef]

Korotkova, O.

Krackhardt, U.

U. Krackhardt and N. Striebl, Opt. Commun. 3, 312 (1989).

Lajunen, H.

Liang, C.

Liu, L.

Y. Chen, F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, Phys. Rev. A 89, 013801 (2014).
[CrossRef]

C. Zhou and L. Liu, Appl. Opt. 34, 5961 (1995).
[CrossRef]

Liu, X.

Mandel, L.

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

Martinez-Herrero, R.

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Characterization of Partially Polarized Light Fields (Springer, 2009).

Mejias, P. M.

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Characterization of Partially Polarized Light Fields (Springer, 2009).

Miyamoto, Y.

Moreno, L.

Naik, D. N.

Piquero, G.

F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000).
[CrossRef]

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Characterization of Partially Polarized Light Fields (Springer, 2009).

Pu, J.

Ramirez-Sanchez, V.

Saastarsiero, T.

Santarsiero, M.

Setala, T.

Singh, R. K.

Striebl, N.

U. Krackhardt and N. Striebl, Opt. Commun. 3, 312 (1989).

Takeda, M.

Takeda, M. F.

Tervo, J.

Tong, Z.

Wang, F.

Wang, W.

Wolf, E.

E. Wolf, Introduction to the Theory of Coherence and Polarization (Cambridge University, 2007).

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

Yuan, X. C.

Yuan, Y.

Zhang, L.

Zhang, N.

Zhao, C.

Y. Chen, F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, Phys. Rev. A 89, 013801 (2014).
[CrossRef]

Zhou, C.

Appl. Opt. (1)

J. Opt. Soc. Am. A (2)

Opt. Commun. (2)

H. Dammann and K. Gortler, Opt. Commun. 74, 31 (1971).

U. Krackhardt and N. Striebl, Opt. Commun. 3, 312 (1989).

Opt. Express (3)

Opt. Lett. (12)

Optica Acta (1)

H. Dammann and E. Klotz, Optica Acta 24, 505 (1977).
[CrossRef]

Phys. Rev. A (1)

Y. Chen, F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, Phys. Rev. A 89, 013801 (2014).
[CrossRef]

Other (3)

R. Martinez-Herrero, P. M. Mejias, and G. Piquero, Characterization of Partially Polarized Light Fields (Springer, 2009).

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

E. Wolf, Introduction to the Theory of Coherence and Polarization (Cambridge University, 2007).

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Figures (4)

Fig. 1.
Fig. 1.

Experimental setup for the generation and detection of the complex field of the polarization speckle.

Fig. 2.
Fig. 2.

Designed Dammann phase grating: (a) fifth-order and (b) seventh-order.

Fig. 3.
Fig. 3.

Experimental results. (a), (b) Speckle field of orthogonal polarization components’ amplitude distribution of elements of the CP matrix for a fifth-order Dammann grating: (c) Wxx(Δr), (d) Wyy(Δr), (e) Wxy(Δr), and (f) Wyx(Δr).

Fig. 4.
Fig. 4.

Experimental results. (a), (b) Speckle fields of orthogonal polarization components’ amplitude distribution of elements of the CP matrix for a seventh-order Dammann grating: (c) Wxx(Δr), (d) Wyy(Δr), (e) Wxy(Δr), and (f) Wyx(Δr).

Equations (6)

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Ej(r)=Ej(r^)exp(iφj(r^))exp[i2πr·r^λf]dr^.
W(r1,r2)=(Ex*(r1)Ex(r2)Ex*(r1)Ey(r2)Ey*(r1)Ex(r2)Ey*(r1)Ey(r2)),
Wjk(r1,r2)=Ej*(r1)Ek(r2)=Ej*(r1)Ek(r1+Δr),
Wjk(Δr)=Ej*(r1)Ek(r1+Δr)dr1={Ej*(r^1)Ek(r^2)exp[i(φj(r^1)φk(r^2))]×exp[i2πλf(r2·r^2r1·r^1)]dr^1dr^2}dr1={Ej*(r^1)Ek(r^2)×exp[i(φj(r^1)φk(r^2))]×exp[i2πλf((r1+Δr)·r^2r1·r^1)]dr^1dr^2}dr1.
exp[i2πλf(r^2r^1)·r1]dr1=δ(r^2r^1)
Wjk(Δr)=Ej*(r^)Ek(r^)exp[i2πλfΔr·r^]dr^=Ijk(r^)exp[i2πλfΔr·r^]dr^.

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