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鬼成像方案实现所需设备、成像的质量以及成像所花的时间是决定鬼成像技术可实用化的重要因素. 本文提出一种针对多散斑图的差分压缩鬼成像方案. 该方案通过连续探测多个独立的散斑图, 降低了热光鬼成像方案对探测器高时间分辨力的要求; 通过采用差分方法, 抑制了背景噪声和其他噪声源的干扰; 通过使用压缩感知重建算法, 有效地降低了鬼成像所需时间并同时提升成像的质量. 数值仿真结果表明, 对于二灰度“N” 图, 本方案在8000次的采样情形下与多散斑图鬼成像方案35000次采样的结果相比, 均方误差降低了96.9%、峰值信噪比提升15.1 dB. 对于八灰度“Pepper”图, 本方案与多散斑图鬼成像方案相比, PSNR提升11.4 dB. 本方案可降低探测设备的要求、提高成像质量、降低重建时间, 具有广阔的应用前景.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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Keywords:
- ghost imaging /
- compressive sensing /
- differential /
- speckle patterns
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[2] Goodman J W 2007 Speckle Phenomena in Optics: Theory and Applications (Englewood: Roberts)
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[4] Montaldo G, Tanter M, Fink M 2011 Phys. Rev. Lett. 106 054301
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[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
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[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
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[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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[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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