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基于光场一阶关联的时域成像

张瑞雪 李洪国 李宗国

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基于光场一阶关联的时域成像

张瑞雪, 李洪国, 李宗国

Temporal imaging based on first-order field correlation

Zhang Rui-Xue, Li Hong-Guo, Li Zong-Guo
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  • 与通常利用二阶强度关联测量实现时域鬼成像不同, 本文利用时域热光源借助干涉仪通过一阶关联实现时域成像. 基于空域光束的近轴衍射和时域窄带脉冲在色散介质中色散之间的空间-时间二象性, 在时域脉冲响应函数的基础上得到了表征一阶关联时域成像的强度表达式, 分析研究了光源脉冲宽度和相干时间对成像可见度和分辨率的影响. 结果一方面表明基于热光场一阶关联的时域成像在不需要额外色散补偿或消除条件下可以实现时域物体信号的再现, 另一方面表明当光源脉冲宽度一定时, 成像可见度随光源脉冲相干时间的增加而增加, 但是成像分辨率逐渐降低, 其中当光源脉冲宽度约为100 ps, 相干时间约为0.5 ps时, 间隔为20 ps, 宽度为8 ps的时域矩形波型物体的成像质量(兼顾可见度和分辨率)较好. 该结果对于基于热光一阶关联的时域成像在时序信号测量中的应用具有重要意义.
    Different from second-order temporal ghost imaging usually realized by means of second-order correlation measurement, in this paper, we investigate theoretically temporal imaging with temporally thermal light via first-order field correlation based on a Mach-Zehnder interferometer. The paraxial wave equation describing the diffraction of light and the differential equation characterizing the dispersion of light pulse are given. Based on the similarity between these equations, the duality between the paraxial diffraction of the light in the spatial domain and the dispersion of the temporal narrow-band pulse in the dispersive medium (i.e. the space-time duality) is obtained, and the impulse response functions in the time domain for several optical systems are also presented. Then in terms of the space-time duality, we design the scheme for temporal imaging via first-order thermal field correlation based on a Mach-Zehnder interferometer and obtain the intensity expression for first-order temporal imaging according to the temporal impulse response functions, and discuss the influences of the source pulse width and coherence time on the image visibility and resolution. The result shows that the temporal signal can be reconstructed through temporal first-order temporal imaging. Furthermore, when the source’s coherence time is fixed, the image visibility decreases as the pulse width increases. However, the image resolution increases. When the source’s pulse width is fixed, the image visibility increases as the coherence time increases. And yet the image resolution decreases. Specially, when the source’s pulse width is 100 ps and the coherence time is 0.5 ps, the image quality (taking both the visibility and resolution into account) of a temporally rectangular object is satisfactory. In the simulation, the distance and width of the temporal rectangular object are 20 ps and 8 ps, respectively. It is shown that there is a dilemma between the visibility and resolution of first-order temporal imaging which is similar to the result of second-order ghost imaging. Our result discussed herein could be valuable in the reconstruction and detection of temporal signal via first-order temporal ghost imaging with temporally thermal light.
      通信作者: 李宗国, zgli@tjut.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 11604243)和天津市自然科学基金(批准号: 16JCQNJC01600)资助的课题.
      Corresponding author: Li Zong-Guo, zgli@tjut.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11604243) and the Natural Science Foundation of Tianjin, China (Grant No. 16JCQNJC01600).
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    Valencia A, Scarcelli G, D’ Angelo M, Shih Y H 2005 Phys. Rev. Lett. 94 063601Google Scholar

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    Cai Y, Wang F 2007 Opt. Lett. 32 205Google Scholar

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    Liu X F, Chen X H, Yao X R, Yu W K, Zhai G J, Wu L A 2014 Opt. Lett. 39 2314Google Scholar

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    Zhao C Q, Gong W L, Chen M L, Li E R, Wang H, Xu W D, Han S S 2012 Appl. Phys. Lett. 101 141123Google Scholar

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    Hong Y, Li E R, Gong W L, Han S S 2015 Opt. Express 23 14541Google Scholar

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    Chen M, Li E, Gong W L, Bo Z, Xu X, Zhao C, Shen X, Xu W, Han S S 2013 Opt. Photonics J. 3 83Google Scholar

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    Li S, Cropp F, Kabra K, Lane T J, Wetzstein G, Musumeci P, Ratner D 2018 Phys. Rev. Lett. 121 114801Google Scholar

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    Cheng J 2009 Opt. Express 17 7916Google Scholar

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    Cheng J, Lin J 2013 Phys. Rev. A 87 043810Google Scholar

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    Cao D Z, Xiong J, Zhang S H, Lin L F, Gao L, Wang K G 2008 Appl. Phys. Lett. 92 201102Google Scholar

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    Zhang D J, Li H G, Zhao Q L, Wang S, Wang H B, Xiong J, Wang K G 2015 Phys. Rev. A 92 013823Google Scholar

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    Salem R, Foster M A, Gaeta A L 2013 Adv. Opt. Photonics 5 274Google Scholar

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    Foster M A, Salem R, Geraghty D F, Turner-Foster A C, Lipson M, Gaeta A L 2008 Nature 456 81Google Scholar

    [33]

    Schröder J, Wang F, Clarke A, Ryckeboer E, Pelusi M , Roelens M A, Eggleton B J 2010 Opt. Commun. 283 2611Google Scholar

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    Fridman M, Farsi A, Okawachi Y, Gaeta A L 2012 Nature 481 62Google Scholar

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    Ryczkowski P, Barbier M, Friberg A T, Dudley J M, Genty G 2016 Nat. Photonics 10 167Google Scholar

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    Gao L, Zhang S H, Xiong J, Gan S, Feng L J, Cao D Z, Wang K G 2009 Phys. Rev. A 80 021806Google Scholar

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    Cai Y, Zhu S 2004 Opt. Lett. 29 2716Google Scholar

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    Qu L, Bai Y, Nan S, Shen Q, Li H, Fu X 2018 Opt. Laser Technol. 104 197Google Scholar

  • 图 1  基于光场一阶关联的时域成像装置示意图

    Fig. 1.  Schematic illustration for first-order temporal imaging.

    图 2  光源相干时间为0.5 ps, 光源脉冲宽度宽度分别为5, 10, 50和100 ps条件下的关联像

    Fig. 2.  The correlated images with different pulse widths of the source 5, 10, 50 and 100 ps, for the source’s coherence time 0.5 ps

    图 3  光源相干时间Tc为0.5 ps时, 成像可见度随光源脉冲宽度的变化曲线

    Fig. 3.  The imaging visibility as a function of the source’s pulse width for the source’s coherence time 0.5 ps

    图 4  光源脉冲宽度为T0 = 100 ps, 光源相干时间Tc分别为0.5, 1.5, 5和10 ps条件下的关联像

    Fig. 4.  The correlated images with different source’s coherence time 0.5, 1.5, 5 and 10 ps, for the source’s pulse width 100 ps

    图 5  光源脉冲宽度为100 ps时, 成像可见度随光源相干时间的变化曲线

    Fig. 5.  The imaging visibility as a function of the source coherence time for the source’s pulse width 100 ps.

  • [1]

    Padgett M J, Boyd R W 2017 Phil. Trans. R. Soc. A 375 20160233Google Scholar

    [2]

    Pittman T B, Shih Y H, Strekalov D V, Sergienko A V 1995 Phys. Rev. A 52 R3429Google Scholar

    [3]

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

    [4]

    Gatti A, Brambilla E, Bache M, Lugiato L A 2004 Phys. Rev. A 70 013802Google Scholar

    [5]

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

    [6]

    Cao D Z, Xiong J, Wang K G 2005 Phys. Rev. A 71 013801Google Scholar

    [7]

    Valencia A, Scarcelli G, D’ Angelo M, Shih Y H 2005 Phys. Rev. Lett. 94 063601Google Scholar

    [8]

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

    [9]

    Cai Y, Zhu S Y 2005 Phys. Rev. E 71 056607Google Scholar

    [10]

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

    [11]

    Cai Y, Wang F 2007 Opt. Lett. 32 205Google Scholar

    [12]

    Liu X F, Chen X H, Yao X R, Yu W K, Zhai G J, Wu L A 2014 Opt. Lett. 39 2314Google Scholar

    [13]

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

    [14]

    Bromberg Y, Katz O, Silberberg Y 2009 Phys. Rev. A 79 053840Google Scholar

    [15]

    Shapiro J H 2008 Phys. Rev. A 78 061802Google Scholar

    [16]

    Zhao C Q, Gong W L, Chen M L, Li E R, Wang H, Xu W D, Han S S 2012 Appl. Phys. Lett. 101 141123Google Scholar

    [17]

    Hong Y, Li E R, Gong W L, Han S S 2015 Opt. Express 23 14541Google Scholar

    [18]

    Chen M, Li E, Gong W L, Bo Z, Xu X, Zhao C, Shen X, Xu W, Han S S 2013 Opt. Photonics J. 3 83Google Scholar

    [19]

    Li S, Cropp F, Kabra K, Lane T J, Wetzstein G, Musumeci P, Ratner D 2018 Phys. Rev. Lett. 121 114801Google Scholar

    [20]

    Cheng J 2009 Opt. Express 17 7916Google Scholar

    [21]

    Cheng J, Lin J 2013 Phys. Rev. A 87 043810Google Scholar

    [22]

    Cao D Z, Xiong J, Zhang S H, Lin L F, Gao L, Wang K G 2008 Appl. Phys. Lett. 92 201102Google Scholar

    [23]

    Chan K W C, O’ Sullivan M N, Boyd R W 2010 Opt. Express 18 5562Google Scholar

    [24]

    Zhang D J, Li H G, Zhao Q L, Wang S, Wang H B, Xiong J, Wang K G 2015 Phys. Rev. A 92 013823Google Scholar

    [25]

    Li H G, Zhang D J, Xu D J, Zhao Q L, Wang S, Wang H B, Xiong J, Wang K G 2015 Phys. Rev. A 92 043816Google Scholar

    [26]

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

    [27]

    仲亚军, 刘娇, 梁文强, 赵生妹 2015 物理学报 64 014202Google Scholar

    Zhong Y J, Liu J, Liang W Q, Zhao S M 2015 Acta Phys. Sin. 64 014202Google Scholar

    [28]

    Gao C, Wang X, Wang Z, Li Z, Du G, Chang F, Yao Z 2017 Phys. Rev. A 96 023838Google Scholar

    [29]

    Cao D H, Li Q H, Zhuang X C, Ren H, Zhang S H, Song X B 2018 Chin. Phys. B 27 123401Google Scholar

    [30]

    Yang H, Wu H, Wang H B, Cao D H, Zhang S H, Xiong J, Wang K 2018 Phys. Rev. A 98 053853Google Scholar

    [31]

    Salem R, Foster M A, Gaeta A L 2013 Adv. Opt. Photonics 5 274Google Scholar

    [32]

    Foster M A, Salem R, Geraghty D F, Turner-Foster A C, Lipson M, Gaeta A L 2008 Nature 456 81Google Scholar

    [33]

    Schröder J, Wang F, Clarke A, Ryckeboer E, Pelusi M , Roelens M A, Eggleton B J 2010 Opt. Commun. 283 2611Google Scholar

    [34]

    Fridman M, Farsi A, Okawachi Y, Gaeta A L 2012 Nature 481 62Google Scholar

    [35]

    Ryczkowski P, Barbier M, Friberg A T, Dudley J M, Genty G 2016 Nat. Photonics 10 167Google Scholar

    [36]

    Shirai T, Setälä T, Friberg A T 2010 J. Opt. Soc. Am. B 27 2549Google Scholar

    [37]

    Setälä T, Shirai T, Friberg A T 2010 Phys. Rev. A 82 043813Google Scholar

    [38]

    Chen Z, Li H, Li Y, Shi J, Zeng G 2013 Opt. Eng. 52 076103Google Scholar

    [39]

    Gao L, Zhang S H, Xiong J, Gan S, Feng L J, Cao D Z, Wang K G 2009 Phys. Rev. A 80 021806Google Scholar

    [40]

    Vabre L, Dubois A, Boccara A C 2002 Opt. Lett. 27 530Google Scholar

    [41]

    Kolner B H 1994 IEEE J. Quant. Electron. 30 1951Google Scholar

    [42]

    Cai Y, Zhu S 2004 Opt. Lett. 29 2716Google Scholar

    [43]

    Qu L, Bai Y, Nan S, Shen Q, Li H, Fu X 2018 Opt. Laser Technol. 104 197Google Scholar

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出版历程
  • 收稿日期:  2019-02-01
  • 修回日期:  2019-03-05
  • 上网日期:  2019-05-01
  • 刊出日期:  2019-05-20

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