Abstract

In Periodic diffraction correlation imaging (PDCI), the images of several objects located in different spatial positions can be integrated into one image following certain rules, which is named shape merging. In this paper, we proposed and demonstrated this new technique. It can be realized without SLM or beam-splitter. And this effect can find novel application in optical encryption, enabling transmission of object information to a remote place secretly.

© 2013 OSA

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References

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  1. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
    [CrossRef] [PubMed]
  2. O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).
  3. Y. F. Bai and S. S. Han, “Ghost imaging with thermal light by third-order correlation,” Phys. Rev. A76(4), 043828 (2007).
    [CrossRef]
  4. J. B. Liu and Y. H. Shih, “Nth-order coherence of thermal light,” Phys. Rev. A79(2), 023819 (2009).
    [CrossRef]
  5. Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
    [CrossRef]
  6. Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
    [CrossRef]
  7. R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
    [CrossRef]
  8. N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).
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    [CrossRef]
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    [CrossRef] [PubMed]
  11. X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  14. P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).
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    [CrossRef]
  16. J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A78(061802), 1–4 (2008).
  17. P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett.35(14), 2391–2393 (2010).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]

2012 (2)

M. Tanha, R. Kheradmand, and S. Ahmadi-Kandjani, “Gray-scale and color optical encryption based on co-mputational ghost imaging,” Appl. Phys. Lett.101(10), 101108 (2012).
[CrossRef]

H. Li, Z. P. Chen, J. Xiong, and G. H. Zeng, “Periodic diffraction correlation imaging without a beam-splitter,” Opt. Express20(3), 2956–2966 (2012).
[CrossRef] [PubMed]

2010 (7)

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett.35(14), 2391–2393 (2010).
[CrossRef] [PubMed]

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).

L. Basano and P. Ottonello, “Diffuse-reflection ghost imaging from a double-strip illuminated by pseudoth-ermal light,” Opt. Commun.283(13), 2657–2661 (2010).
[CrossRef]

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

2009 (5)

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A79(5), 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).

J. B. Liu and Y. H. Shih, “Nth-order coherence of thermal light,” Phys. Rev. A79(2), 023819 (2009).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

J. Cheng, “Ghost imaging through turbulent atmosphere,” Opt. Express17(10), 7916–7921 (2009).
[CrossRef] [PubMed]

2008 (2)

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A78(061802), 1–4 (2008).

R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
[CrossRef]

2007 (1)

Y. F. Bai and S. S. Han, “Ghost imaging with thermal light by third-order correlation,” Phys. Rev. A76(4), 043828 (2007).
[CrossRef]

2000 (1)

1995 (2)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett.20(7), 767–769 (1995).
[CrossRef] [PubMed]

Ahmadi-Kandjani, S.

M. Tanha, R. Kheradmand, and S. Ahmadi-Kandjani, “Gray-scale and color optical encryption based on co-mputational ghost imaging,” Appl. Phys. Lett.101(10), 101108 (2012).
[CrossRef]

Bai, Y. F.

Y. F. Bai and S. S. Han, “Ghost imaging with thermal light by third-order correlation,” Phys. Rev. A76(4), 043828 (2007).
[CrossRef]

Basano, L.

L. Basano and P. Ottonello, “Diffuse-reflection ghost imaging from a double-strip illuminated by pseudoth-ermal light,” Opt. Commun.283(13), 2657–2661 (2010).
[CrossRef]

Bisht, N. S.

N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).

Bromberg, Y.

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A79(5), 053840 (2009).
[CrossRef]

Chen, X. H.

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Chen, Z. P.

Cheng, J.

Clemente, P.

Deacon, K. S.

R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
[CrossRef]

Durán, V.

Gong, W.

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

Han, S.

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

Han, S. S.

Y. F. Bai and S. S. Han, “Ghost imaging with thermal light by third-order correlation,” Phys. Rev. A76(4), 043828 (2007).
[CrossRef]

Javidi, B.

Kandpal, H. C.

N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).

R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
[CrossRef]

Katz, O.

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A79(5), 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).

Kheradmand, R.

M. Tanha, R. Kheradmand, and S. Ahmadi-Kandjani, “Gray-scale and color optical encryption based on co-mputational ghost imaging,” Appl. Phys. Lett.101(10), 101108 (2012).
[CrossRef]

Klyshko, D. N.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Lancis, J.

Li, H.

Liu, J. B.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

J. B. Liu and Y. H. Shih, “Nth-order coherence of thermal light,” Phys. Rev. A79(2), 023819 (2009).
[CrossRef]

Liu, Q.

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Luo, K. H.

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Meyers, R.

R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
[CrossRef]

Ottonello, P.

L. Basano and P. Ottonello, “Diffuse-reflection ghost imaging from a double-strip illuminated by pseudoth-ermal light,” Opt. Commun.283(13), 2657–2661 (2010).
[CrossRef]

Refregier, P.

Sergienko, A. V.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Shapiro, J. H.

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A78(061802), 1–4 (2008).

Sharma, E. K.

N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).

Shen, X.

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

Shih, Y. H.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

J. B. Liu and Y. H. Shih, “Nth-order coherence of thermal light,” Phys. Rev. A79(2), 023819 (2009).
[CrossRef]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Silberberg, Y.

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A79(5), 053840 (2009).
[CrossRef]

Simon, J.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

Song, X. B.

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

Strekalov, D. V.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Tajahuerce, E.

Tanha, M.

M. Tanha, R. Kheradmand, and S. Ahmadi-Kandjani, “Gray-scale and color optical encryption based on co-mputational ghost imaging,” Appl. Phys. Lett.101(10), 101108 (2012).
[CrossRef]

Torres-Company, V.

Wang, K. G.

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

Wu, L. A.

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Wu, W.

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Xiong, J.

H. Li, Z. P. Chen, J. Xiong, and G. H. Zeng, “Periodic diffraction correlation imaging without a beam-splitter,” Opt. Express20(3), 2956–2966 (2012).
[CrossRef] [PubMed]

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

Zeng, G. H.

Zhang, P.

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

Zhang, X. D.

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

Zhou, Y.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

M. Tanha, R. Kheradmand, and S. Ahmadi-Kandjani, “Gray-scale and color optical encryption based on co-mputational ghost imaging,” Appl. Phys. Lett.101(10), 101108 (2012).
[CrossRef]

Opt. Commun. (1)

L. Basano and P. Ottonello, “Diffuse-reflection ghost imaging from a double-strip illuminated by pseudoth-ermal light,” Opt. Commun.283(13), 2657–2661 (2010).
[CrossRef]

Opt. Express (2)

Opt. Lasers Engineer. (1)

N. S. Bisht, E. K. Sharma, and H. C. Kandpal, “Experimental observation of lensless ghost imaging by mea- suring reflected photons,” Opt. Lasers Engineer.48, 671C675 (2010).

Opt. Lett. (2)

Phys. Rev. A (10)

P. Zhang, W. Gong, X. Shen, and S. Han, “Correlated imaging through atmospheric turbulence,” Phys. Rev. A82(033817), 1–4 (2010).

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A79(5), 053840 (2009).
[CrossRef]

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A78(061802), 1–4 (2008).

X. B. Song, J. Xiong, X. D. Zhang, and K. G. Wang, “Second –order Talbot self-imaging with pseudother- mal,” Phys. Rev. A82(3), 033823 (2010).
[CrossRef]

K. H. Luo, X. H. Chen, Q. Liu, and L. A. Wu, “Nonlocal Talbot self-imaging with pseudo-thermal light,” Phys. Rev. A82(3), 033803 (2010).
[CrossRef]

Y. F. Bai and S. S. Han, “Ghost imaging with thermal light by third-order correlation,” Phys. Rev. A76(4), 043828 (2007).
[CrossRef]

J. B. Liu and Y. H. Shih, “Nth-order coherence of thermal light,” Phys. Rev. A79(2), 023819 (2009).
[CrossRef]

Q. Liu, X. H. Chen, K. H. Luo, W. Wu, and L. A. Wu, “Role of multiphoton bunching in high-order ghost imaging with thermal light sources,” Phys. Rev. A79(5), 053844 (2009).
[CrossRef]

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A81(4), 043831 (2010).
[CrossRef]

R. Meyers, K. S. Deacon, and H. C. Kandpal, “Ghost Imaging Experiment by measuring reflected photons,” Phys. Rev. A77(4), 041801 (2008).
[CrossRef]

Phys. Rev. Lett. (2)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of Two-Photon “Ghost” Interference and Diffraction,” Phys. Rev. Lett.74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” Phys. Rev. Lett.95, 131110 (2009).

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Figures (5)

Fig. 1
Fig. 1

Experiment scheme of shape merging.

Fig. 2
Fig. 2

Schematic diagram of imaging plane.

Fig. 3
Fig. 3

Object and its merged image retrieved by shape merging with 5000 records.

Fig. 4
Fig. 4

Scheme of the encryption method

Fig. 5
Fig. 5

Objects and the merged image retrieved with 5000 records. In group (A) and (B), the two objects have different relative position relation.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

T= λz a ,
Δ G (2) (x) | t(x)sinc( 2πR λz x) | 2 ,
O(x,y)= 1 N i=1 N [ ( S i S )+( B i B ) ] I i (x,y),

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