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单像素探测频谱重构成像理论分析

姚伟强 黄文浩 杨初平

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单像素探测频谱重构成像理论分析

姚伟强, 黄文浩, 杨初平

Theoretical analysis of spectrum reconstruction imaging using single-pixel detection

Yao Wei-Qiang, Huang Wen-Hao, Yang Chu-Ping
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  • 迄今为止,基于频谱重建的单像素探测成像技术没有提供一个比较全面的理论基础,因此,本文对此成像技术进行了比较详细的理论分析.分析了若干因素对成像重建的影响,包括对来自成像物体散射光的直接探测,或间接探测即物体的散射光顺次经过多个漫射面漫射后由探测器探测;多通道探测即物体的散射光分别沿几个不同路径、各自经几个漫射面顺次漫反射后由探测器探测;探测器尺寸和位置.理论分析结果表明,无论是直接探测还是间接探测,无论是单通道探测还是多通道探测,只要能接收物体的散射光,就能够重构成像;探测器面积对成像重建的影响相当于位于不同位置的多个点探测器探测重建像的叠加.为了加快成像重建速度,导出了三步相移频谱重建公式.对表面光强反射率均匀的物体,采用三步相移技术,给出了成像重建结果.
    As a novel imaging method, single-pixel imaging based on spectrum reconstruction is interesting. To date, however, there has not yet been a theory that can analyze the method in detail. In order to obtain a comprehensive understanding of the single-pixel imaging technique, a detailed theoretical analysis is proposed. Firstly, in the presented imaging theory, we analyze the effects of several factors involved in the imaging process on imaging reconstruction, including the direct detection, namely, the back scattering light from the imaged object is received by a detector; indirect detection, namely, the back scattering light is received after undergoing the diffuse reflections by multiple diffusing surfaces in proper sequence; multi-channel detection, namely, the scattering light is together detected after experiencing multiple diffuse reflections in proper sequence along multiple different paths; the size and location of the single-pixel detector. The theoretical results show that whether it is direct detection or indirect detection and whether it is single-channel detection or multi-channel detection, the above imaging method is valid as long as the scattering light can be received by the detector, and the obtained results are also in accord with the existing experimental results. Since the single-pixel detector is treated as a component of many point detectors due to its practical size, the effect of the single-pixel detector size on image reconstruction is equivalent to the integration of reconstructed images from multiple point detectors at different locations. Secondly, the spectrum reconstruction based on a three-step phase shift technique is also derived to increase the image reconstruction speed. Finally, the experimental results of the imaging reconstruction of an object, whose surface reflectivity is uniform, are demonstrated.
      通信作者: 杨初平, yangchp@scau.edu.cn
    • 基金项目: 广东省大学生创新创业训练项目(批准号:201610564482)资助的课题.
      Corresponding author: Yang Chu-Ping, yangchp@scau.edu.cn
    • Funds: Project supported by the Undergraduate Innovation and Entrepreneurship Training Program of Guangdong Province, China (Grant No. 201610564482).
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  • [1]

    Valencia A, Scarcelli G, D'Angelo M, Shih Y 2005 Phys. Rev. Lett. 94 063601

    [2]

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

    [3]

    Scarcelli G, Berardi V, Shih Y 2006 Phys. Rev. Lett. 96 063602

    [4]

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

    [5]

    Shapiro J H 2008 Phys. Rev. A 78 061802

    [6]

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

    [7]

    Jack B, Leach J, Romero J, Franke-Arnold S, Ritsch-Marte M, Barnett S M, Padgett M J 2009 Phys. Rev. Lett. 103 083602

    [8]

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

    [9]

    Zhong Y J, Liu J L, Wen Q, Zhao S M 2015 Acta Phys. Sin. 64 014202 (in Chinese)[仲亚军, 刘娇梁, 文强, 赵生妹2015物理学报64 014202]

    [10]

    Li L Z, Yao X R, Liu X F, Yu W K, Zhai G J 2014 Acta Phys. Sin. 63 224201 (in Chinese)[李龙珍, 姚旭日, 刘雪峰, 俞文凯, 翟光杰2014物理学报63 224201]

    [11]

    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]

    [12]

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

    [13]

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

    [14]

    Zhang Z, Ma X, Zhong J 2015 Nat. Commun. 6 6225

    [15]

    Edgar M P, Gibson G M, Bowman R W, Sun B, Radwell N, Mitchell K J, Welsh S S, Padgett M J 2015 Sci. Rep. 5 10669

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出版历程
  • 收稿日期:  2016-08-11
  • 修回日期:  2016-09-17
  • 刊出日期:  2017-02-05

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