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Multiple speckle patterns differential compressive ghost imaging

Zhong Ya-Jun Liu Jiao Liang Wen-Qiang Zhao Sheng-Mei

Multiple speckle patterns differential compressive ghost imaging

Zhong Ya-Jun, Liu Jiao, Liang Wen-Qiang, Zhao Sheng-Mei
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  • Equipment requirement, quality of reconstructed image, and reconstruction time are important factors in the realization of thermal-light ghost imaging system. In this paper, we propose a new ghost imaging scheme with multiple speckle patterns, named multiple speckle patterns differential compressive ghost imaging scheme. In this scheme, the high temporal resolution requirements for detectors is reduced by continuously detecting multiple independent speckle patterns. We eliminate the background and other noises in ghost imaging system by using differential ghost imaging method. And the reconstruction time is effectively reduced simultaneously to improve the reconstructed image quality by introducing the compressive sensing techniques. Numerical results show that for the two-level grayscale “N” image, the mean square error, in using the proposed scheme with 8000 measurements, is reduced by 96.9%, and the peak signal to noise ratio has improved by 15.1 dB, in comparison with those using the original multiple speckle patterns ghost imaging scheme with 35000 measurements. For the eight-level grayscale “Pepper” image, the peak signal to noise ratio is enhanced by 11.4 dB. The proposed scheme also can decrease the requirements of detection equipment to improve the image quality, and reduce the reconstruction time. Therefore, it may have a broad application prospect.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61271238), the University Natural Science Research Foundation of Jiangsu Province, China (Grant No. 11KJA510002), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20123223110003), the Priority Academic Program of Jiangsu Higher Education Institutions, China, and the Jiangsu Key Laboratory of Image Processing and Image Communication, China.
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    Montaldo G, Tanter M, Fink M 2011 Phys. Rev. Lett. 106 054301

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    Sanner C, Su E J, Keshet A, Huang W, Gillen J, Gommers R, Ketterle W 2011 Phys. Rev. Lett. 106 010402

    [7]

    Bortolozzo U, Residori S, Sebbah P 2011 Phys. Rev. Lett. 106 103903

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    Bennink R S, Bentley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601

    [9]

    Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. Lett. 93 093602

    [10]

    Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903

    [11]

    Ferri F, Magatti D, Gatti A, Bache M, Brambilla E, Lugiato L A 2005 Phys. Rev. Lett. 94 183602

    [12]

    Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354

    [13]

    Meyers R, Deacon K S, Shih Y 2008 Phys. Rev. A 77 041801

    [14]

    Shapiro J H 2008 Phys. Rev. A 78 061802

    [15]

    Shen X, Bai Y F, Qin T, Han S S 2008 Chin. Phys. Lett. 25 3968

    [16]

    Chen X H, Liu Q, Luo K H, Wu L A 2009 Opt. Lett. 34 695

    [17]

    Liu Q, Luo K H, Chen X H, Wu L A 2010 Chin. Phys. B 19 094211

    [18]

    Gong W L, Han S S 2010 Phys. Lett. A 374 1005

    [19]

    Du J, Gong W L, Han S S 2012 Opt. Lett. 37 1067

    [20]

    Sun B Q, Welsh S S, Edgar M P, Shapiro J H, Padgett M J 2012 Opt. Express 20 16892

    [21]

    Luo K H, Huang B Q, Zheng W M, Wu L A 2012 Chin. Phys. Lett. 29 074216

    [22]

    Sun B, Edgar M P, Bowman R, Vittert L E, Welsh S, Bowman A, Padgett M J 2013 Science 340 844

    [23]

    Liu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 184205 (in Chinese) [刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205]

    [24]

    Zerom P, Shi Z, O'Sullivan M N, Chan K W C, Krogstad M, Shapiro J H, Boyd R W 2012 Phys. Rev. A 86 063817

    [25]

    Ferri F, Magatti D, Lugiato L A, Gatti A 2010 Phys. Rev. Lett. 104 253603

    [26]

    Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289

    [27]

    Baraniuk R G 2007 IEEE Sig. Proc. Mag. 24 118

    [28]

    Candès E J, Wakin M B 2008 IEEE Sig. Proc. Mag. 25 21

    [29]

    Candès E J 2008 Comptes. Rendus Math. 346 589

    [30]

    Katz O, Bromberg Y, Silberberg Y 2009 Appl. Phys. Lett. 95 131110

    [31]

    Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]

    [32]

    Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203

  • [1]

    Goodman J W 1976 J. Opt. Soc. Am. 66 1145

    [2]

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

    [3]

    Pine D J, Weitz D A, Chaikin P M, Herbolzheimer E 1988 Phys. Rev. Lett. 60 1134

    [4]

    Montaldo G, Tanter M, Fink M 2011 Phys. Rev. Lett. 106 054301

    [5]

    Boas D A, Dunn A K 2010 J. Biomed. Opt. 15 011109

    [6]

    Sanner C, Su E J, Keshet A, Huang W, Gillen J, Gommers R, Ketterle W 2011 Phys. Rev. Lett. 106 010402

    [7]

    Bortolozzo U, Residori S, Sebbah P 2011 Phys. Rev. Lett. 106 103903

    [8]

    Bennink R S, Bentley S J, Boyd R W 2002 Phys. Rev. Lett. 89 113601

    [9]

    Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. Lett. 93 093602

    [10]

    Cheng J, Han S S 2004 Phys. Rev. Lett. 92 093903

    [11]

    Ferri F, Magatti D, Gatti A, Bache M, Brambilla E, Lugiato L A 2005 Phys. Rev. Lett. 94 183602

    [12]

    Zhang D, Zhai Y H, Wu L A, Chen X H 2005 Opt. Lett. 30 2354

    [13]

    Meyers R, Deacon K S, Shih Y 2008 Phys. Rev. A 77 041801

    [14]

    Shapiro J H 2008 Phys. Rev. A 78 061802

    [15]

    Shen X, Bai Y F, Qin T, Han S S 2008 Chin. Phys. Lett. 25 3968

    [16]

    Chen X H, Liu Q, Luo K H, Wu L A 2009 Opt. Lett. 34 695

    [17]

    Liu Q, Luo K H, Chen X H, Wu L A 2010 Chin. Phys. B 19 094211

    [18]

    Gong W L, Han S S 2010 Phys. Lett. A 374 1005

    [19]

    Du J, Gong W L, Han S S 2012 Opt. Lett. 37 1067

    [20]

    Sun B Q, Welsh S S, Edgar M P, Shapiro J H, Padgett M J 2012 Opt. Express 20 16892

    [21]

    Luo K H, Huang B Q, Zheng W M, Wu L A 2012 Chin. Phys. Lett. 29 074216

    [22]

    Sun B, Edgar M P, Bowman R, Vittert L E, Welsh S, Bowman A, Padgett M J 2013 Science 340 844

    [23]

    Liu X F, Yao X R, Li M F, Yu W K, Chen X H, Sun Z B, Wu L A, Zhai G J 2013 Acta Phys. Sin. 62 184205 (in Chinese) [刘雪峰, 姚旭日, 李明飞, 俞文凯, 陈希浩, 孙志斌, 吴令安, 翟光杰 2013 物理学报 62 184205]

    [24]

    Zerom P, Shi Z, O'Sullivan M N, Chan K W C, Krogstad M, Shapiro J H, Boyd R W 2012 Phys. Rev. A 86 063817

    [25]

    Ferri F, Magatti D, Lugiato L A, Gatti A 2010 Phys. Rev. Lett. 104 253603

    [26]

    Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289

    [27]

    Baraniuk R G 2007 IEEE Sig. Proc. Mag. 24 118

    [28]

    Candès E J, Wakin M B 2008 IEEE Sig. Proc. Mag. 25 21

    [29]

    Candès E J 2008 Comptes. Rendus Math. 346 589

    [30]

    Katz O, Bromberg Y, Silberberg Y 2009 Appl. Phys. Lett. 95 131110

    [31]

    Bai X, Li Y Q, Zhao S M 2013 Acta Phys. Sin. 62 044209 (in Chinese) [白旭, 李永强, 赵生妹 2013 物理学报 62 044209]

    [32]

    Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203

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Publishing process
  • Received Date:  16 June 2014
  • Accepted Date:  16 July 2014
  • Published Online:  05 January 2015

Multiple speckle patterns differential compressive ghost imaging

  • 1. Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61271238), the University Natural Science Research Foundation of Jiangsu Province, China (Grant No. 11KJA510002), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20123223110003), the Priority Academic Program of Jiangsu Higher Education Institutions, China, and the Jiangsu Key Laboratory of Image Processing and Image Communication, China.

Abstract: Equipment requirement, quality of reconstructed image, and reconstruction time are important factors in the realization of thermal-light ghost imaging system. In this paper, we propose a new ghost imaging scheme with multiple speckle patterns, named multiple speckle patterns differential compressive ghost imaging scheme. In this scheme, the high temporal resolution requirements for detectors is reduced by continuously detecting multiple independent speckle patterns. We eliminate the background and other noises in ghost imaging system by using differential ghost imaging method. And the reconstruction time is effectively reduced simultaneously to improve the reconstructed image quality by introducing the compressive sensing techniques. Numerical results show that for the two-level grayscale “N” image, the mean square error, in using the proposed scheme with 8000 measurements, is reduced by 96.9%, and the peak signal to noise ratio has improved by 15.1 dB, in comparison with those using the original multiple speckle patterns ghost imaging scheme with 35000 measurements. For the eight-level grayscale “Pepper” image, the peak signal to noise ratio is enhanced by 11.4 dB. The proposed scheme also can decrease the requirements of detection equipment to improve the image quality, and reduce the reconstruction time. Therefore, it may have a broad application prospect.

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