• Photonics Research
  • Vol. 9, Issue 6, 1069 (2021)
Zhishen Tong1、2, Zhentao Liu1, Chenyu Hu1、2, Jian Wang3、4、6、*, and Shensheng Han1、5、7、*
Author Affiliations
  • 1Key Laboratory of Quantum Optics of CAS, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3School of Data Science, Fudan University, Shanghai 200433, China
  • 4ZJLab, Shanghai Key Laboratory of Intelligent Information Processing, Shanghai 200433, China
  • 5Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, China
  • 6e-mail: jian_wang@fudan.edu.cn
  • 7e-mail: sshan@mail.shcnc.ac.cn
  • show less
    DOI: 10.1364/PRJ.420326 Cite this Article Set citation alerts
    Zhishen Tong, Zhentao Liu, Chenyu Hu, Jian Wang, Shensheng Han. Preconditioned deconvolution method for high-resolution ghost imaging[J]. Photonics Research, 2021, 9(6): 1069 Copy Citation Text show less

    Abstract

    Ghost imaging (GI) can nonlocally image objects by exploiting the fluctuation characteristics of light fields, where the spatial resolution is determined by the normalized second-order correlation function g(2). However, the spatial shift-invariant property of g(2) is distorted when the number of samples is limited, which hinders the deconvolution methods from improving the spatial resolution of GI. In this paper, based on prior imaging systems, we propose a preconditioned deconvolution method to improve the imaging resolution of GI by refining the mutual coherence of a sampling matrix in GI. Our theoretical analysis shows that the preconditioned deconvolution method actually extends the deconvolution technique to GI and regresses into the classical deconvolution technique for the conventional imaging system. The imaging resolution of GI after preconditioning is restricted to the detection noise. Both simulation and experimental results show that the spatial resolution of the reconstructed image is obviously enhanced by using the preconditioned deconvolution method. In the experiment, 1.4-fold resolution enhancement over Rayleigh criterion is achieved via the preconditioned deconvolution. Our results extend the deconvolution technique that is only applicable to spatial shift-invariant imaging systems to all linear imaging systems, and will promote their applications in biological imaging and remote sensing for high-resolution imaging demands.
    minxx0,subjectto  y=Ax,

    View in Article

    minxx0,subjectto  Py=PAx.

    View in Article

    minPPAIF2+γPyPAx22,

    View in Article

    PAT(AAT+γσ2I)1.

    View in Article

    PPAIF2=2(PAI)AT,

    View in Article

    PPyPAx22=2σ2P,

    View in Article

    (A+CBCT)1=A1A1C(B1+CTA1C)1CTA1.

    View in Article

    (I+A)1=IA+A2A3+.

    View in Article

    PA=AT(AAT+γσ2I)1A=Eq.(7)[ATAγσ2(1γσ2)2ATA(I+ATAγσ2)1ATA]=Eq.(8)ATA(ATA+γσ2I)1·

    View in Article

    ATA=FTΛ1F,

    View in Article

    PA=FTΛ1/(Λ1+γσ2I)F=FTdiag[α1α1+γσ2,,αiαi+γσ2,]F=FTΛ2F,

    View in Article

    A=FTΛ1F,

    View in Article

    PA=FTΛ12/(Λ12+γσ2I)F=FTdiag[α12α12+γσ2,,αi2αi2+γσ2,]F,

    View in Article

    ΔG(2,2)(xr)=ΔIt(xt)ΔIr(xt;xr)xtT(xr)g(2)(xr,xr)dxr,

    View in Article

    minxx0subjectto  yy¯=(AA¯)x,

    View in Article

    Zhishen Tong, Zhentao Liu, Chenyu Hu, Jian Wang, Shensheng Han. Preconditioned deconvolution method for high-resolution ghost imaging[J]. Photonics Research, 2021, 9(6): 1069
    Download Citation