Some research progress on the theoretical study of ghost imaging in Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Invited)

Zhentao Liu; Chenyu Hu; Zhishen Tong; Chunyan Chu; Shensheng Han

doi:10.3788/IRLA20211059

[1] R H Brown, R Q Twiss. Correlation between photons in two coherent beams of light. Nature, 177, 27-29(1956).

[2] Brown R Hanbury, R Q Twiss. The question of correlation between photons in coherent light rays. Nature, 178, 1447-1448(1956).

[3] D V Strekalov, A V Sergienko, D N Klyshko, et al. Observation of two-photon "ghost'' interference and diffraction. Physical Review Letters, 74, 3600-3603(1995).

[4] T B Pittman, Y H Shih, D V Strekalov, et al. Optical imaging by means of two-photon quantum entanglement. Physical Review A, 52, R3429-R3432(1995).

[5] R S Bennink, S J Bentley, R W Boyd. "Two-photon'' coincidence imaging with a classical source. Physical Review Letters, 89, 113601(2002).

[6] J Cheng, S Han. Incoherent coincidence imaging and its applicability in X-ray diffraction. Physical Review Letters, 92, 093903(2004).

[7] A Gatti, E Brambilla, M Bache, et al. Ghost imaging with thermal light: Comparing entanglement and classicalcorrelation. Physical Review Letters, 93, 093602(2004).

[8] Chen Huaijin, Asif M S, Sankaranarayanan A C, et al. FPACS: Focal plane arraybased compressive imaging in shtwave infrared[C]Proceedings of the 2015 IEEE Conference on Computer Vision Pattern Recognition (CVPR), 2015.

[9] M F Duarte, M A Davenport, D Takhar, et al. Single-pixel imaging via compressive sampling. IEEE Signal Processing Magazine, 25, 83-91(2008).

[10] Z Tong, Z Liu, J Wang, et al. Breaking Rayleigh’s criterion via discernibility in high-dimensional light-field space with snapshot ghost imaging. arXiv, 2004.00135(2020).

[11] W Gong, S Han. Experimental investigation of the quality of lenslesssuper-resolution ghost imaging via sparsity constraints. Physics Letters A, 376, 1519-1522(2012).

[12] Longzhen Li, Xuri Yao, Xuefeng Liu, et al. Super-resolution ghost imaging via compressed sensing. Acta Physica Sinica, 63, 224201(2014).

[13] Z Chen, J Shi, Y Li, et al. Super-resolution thermal ghost imaging based on deconvolution. The European Physical Journal - Applied Physics, 67, 10501(2014).

[14] C Zhao, W Gong, M Chen, et al. Ghost imaging lidar via sparsity constraints. Applied Physics Letters, 101, 141123(2012).

[15] B I Erkmen. Computational ghost imaging for remote sensing. J Opt Soc Am A, 29, 782-789(2012).

[16] N D Hardy, J H Shapiro. Computational ghost imaging versus imaging laser radar for three-dimensional imaging. Physical Review A, 87, 023820(2013).

[17] B Sun, M P Edgar, R Bowman, et al. 3D computational imaging with single-pixel detectors. Science, 340, 844-847(2013).

[18] Z Liu, S Tan, J Wu, et al. Spectral camera based on ghost imaging via sparsity constraints. Scientific Reports, 6, 25718(2016).

[19] Y Wang, J Suo, J Fan, et al. Hyperspectral computational ghost imaging via temporal multiplexing. IEEE Photonics Technology Letters, 28, 288-291(2016).

[20] Meixuan Li, Siqi Zhang, Hong Li, et al. Research on the bandpass filter used for single-exposure multi-spectral ghost imaging system. Infrared and Laser Engineering, 49, 20200169(2020).

[21] Jian Huang, Dongfeng Shi, Wenwen Meng, et al. Study on spectral encoded computational ghost imaging. Infrared and Laser Engineering, 50, 20200120(2021).

[22] C Chu, S Liu, Z Liu, et al. Spectral polarization camera based on ghost imaging via sparsity constraints. Appl Opt, 60, 4632-4638(2021).

[23] D Shi, S Hu, Y Wang. Polarimetric ghost imaging. Opt Lett, 39, 1231-1234(2014).

[24] Y Zhu, J Shi, Y Yang, et al. Polarization difference ghost imaging. Appl Opt, 54, 1279-84(2015).

[25] Y Liu, J Shi, G Zeng. Single-photon-counting polarization ghost imaging. Appl Opt, 55, 10347-10351(2016).

[26] T Kobata, T Nomura. Digital holographic three-dimensional Mueller matrix imaging. Appl Opt, 54, 5591-5596(2015).

[27] Z Ye, J Xiong, H C Liu. Ghost difference imaging using one single-pixel detector. Physical Review Applied, 15, 034035(2021).

[28] H Yu, R Lu, S Han, et al. Fourier-transform ghost imaging with hard X rays. Physical Review Letters, 117, 113901(2016).

[29] D Pelliccia, A Rack, M Scheel, et al. Experimental X-Ray Ghost Imaging. Physical Review Letters, 117, 113902(2016).

[30] Y Klein, A Schori, I P Dolbnya, et al. X-ray computational ghost imaging with single-pixel detector. Opt Express, 27, 3284-3293(2019).

[31] A X Zhang, Y H He, L A Wu, et al. Tabletop x-ray ghost imaging with ultra-low radiation. Optica, 5, 374-377(2018).

[32] S Li, F Cropp, K Kabra, et al. Electron ghost imaging. Physical Review Letters, 121, 114801(2018).

[33] R I Khakimov, B M Henson, D K Shin, et al. Ghost imaging with atoms. Nature, 540, 100-103(2016).

[34] Y H He, Y Y Huang, Z R Zeng, et al. Single-pixel imaging with neutrons. Science Bulletin, 66, 133-138(2021).

[35] A M Kingston, G R Myers, D Pelliccia, et al. Neutron ghost imaging. Physical Review A, 101, 053844(2020).

[36] W Li, Z Tong, K Xiao, et al. Single-frame wide-field nanoscopy based on ghost imaging via sparsity constraints. Optica, 6, 1515-1523(2019).

[37] N Tian, Q Guo, A Wang, et al. Fluorescence ghost imaging with pseudothermal light. Opt Lett, 36, 3302-3304(2011).

[38] Y Tian, H Ge, X J Zhang, et al. Acoustic ghost imaging in the time domain. Physical Review Applied, 13, 064044(2020).

[39] N A Collaboration, H Bøggild, J Boissevain, et al. Two-kaon correlations in central Pb+Pb collisions at 158 AGeV/c. Physical Review Letters, 87, 112301(2001).

[40] S S Adler, S Afanasiev, C Aidala, et al. Bose-Einstein correlations of charged pion pairs in Au+Au collisions at \begin{document}$\scriptsize{\sqrt {{\rm{sNN}}}} $\end{document}=200 GeV. Physical Review Letters, 93, 152302(2004).

[41] A Gatti, E Brambilla, M Bache, et al. Correlated imaging, quantum and classical. Physical Review A, 70, 013802(2004).

[42] Y Shechtman, Y C Eldar, O Cohen, et al. Phase retrieval with application to optical imaging: A contemporary overview. IEEE Signal Processing Magazine, 32, 87-109(2015).

[43] W Martienssen, E Spiller. Coherence and fluctuations in light beams. American Journal of Physics, 32, 919-926(1964).

[44] Y Bromberg, O Katz, Y Silberberg. Ghost imaging with a single detector. Physical Review A, 79, 053840(2009).

[45] Shapiro J H. Computational ghost imaging[C]Proceedings of the Conference on Lasers ElectroOpticsInternational Quantum Electronics Conference, 2009.

[46] Minghai Lu, Xia Shen, Shensheng Han. Ghost imaging via compressive sampling based on digital micromirror device. Acta Optica Sinica, 31, 0711002(2011).

[47] F T Arecchi. Measurement of the statistical distribution of gaussian and laser sources. Physical Review Letters, 15, 912-916(1965).

[48] H Liu, J Cheng, S Han. Cross spectral purity and its influence on ghost imaging experiments. Optics Communications, 273, 50-53(2007).

[49] D Zhang, Y H Zhai, L A Wu, et al. Correlated two-photon imaging with true thermal light. Opt Lett, 30, 2354-2356(2005).

[50] X F Liu, X H Chen, X R Yao, et al. Lensless ghost imaging with sunlight. Opt Lett, 39, 2314-2317(2014).

[51] M Giglio, M Carpineti, A Vailati. Space intensity correlations in the near field of the scattered light: A direct measurement of the density correlation function g(r). Physical Review Letters, 85, 1416-1419(2000).

[52] R Cerbino, L Peverini, M A C Potenza, et al. X-ray-scattering information obtained from near-field speckle. Nature Physics, 4, 238-243(2008).

[53] G R Arce, D J Brady, L Carin, et al. Compressive coded aperture spectral imaging: An introduction. IEEE Signal Processing Magazine, 31, 105-115(2014).

[54] N Antipa, G Kuo, R Heckel, et al. DiffuserCam: lensless single-exposure 3 D imaging. Optica, 5, 1-9(2018).

[55] S K Sahoo, D Tang, C Dang. Single-shot multispectral imaging with a monochromatic camera. Optica, 4, 1209-1213(2017).

[56] H Kwon, E Arbabi, S M Kamali, et al. Computational complex optical field imaging using a designed metasurface diffuser. Optica, 5, 924-931(2018).

[57] X Li, J A Greenberg, M E Gehm. Single-shot multispectral imaging through a thin scatterer. Optica, 6, 864-871(2019).

[58] K Monakhova, K Yanny, N Aggarwal, et al. Spectral DiffuserCam: Lensless snapshot hyperspectral imaging with a spectral filter array. Optica, 7, 1298-1307(2020).

[59] R Zhu, H Yu, R Lu, et al. Spatial multiplexing reconstruction for Fourier-transform ghost imaging via sparsity constraints. Opt Express, 26, 2181-2190(2018).

[60] Y Cai, S Y Zhu. Ghost imaging with incoherent and partially coherent light radiation. Physical Review E, 71, 056607(2005).

[61] H Liu, J Cheng, S Han. Ghost imaging in Fourier space. Journal of Applied Physics, 102, 103102(2007).

[62] Xia Shen, Yanfeng Bai, Tao Qin, et al. Experimental investigation of quality of lensless ghost imaging with pseudo-thermal light. Chinese Physics Letters, 25, 3968-3971(2008).

[63] F Ferri, D Magatti, L A Lugiato, et al. Differential ghost imaging. Physical Review Letters, 104, 253603(2010).

[64] B I Erkmen, J H Shapiro. Signal-to-noise ratio of Gaussian-state ghost imaging. Physical Review A, 79, 023833(2009).

[65] K W C Chan, M N O’Sullivan, R W Boyd. Optimization of thermal ghost imaging: high-order correlations vs. background subtraction. Opt Express, 18, 5562-5573(2010).

[66] J Liu. On the recovery conditions for practical ghost imaging with AMP algorithm. Opt Express, 26, 20519-20533(2018).

[67] S Jalali, X Yuan. Snapshot compressed sensing: Performance bounds and algorithms. IEEE Transactions on Information Theory, 65, 8005-8024(2019).

[68] X Yuan, D J Brady, A K Katsaggelos. Snapshot compressive imaging: Theory, algorithms, and applications. IEEE Signal Processing Magazine, 38, 65-88(2021).

[69] R A Fisher, E J Russell. On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London Series A, Containing Papers of a Mathematical or Physical Character, 222, 309-368(1922).

[70] Kay S M. Fundamentals of Statistical Signal Processing [M]. NJ: Prentice Hall, 2001.

[71] O Katz, Y Bromberg, Y Silberberg, et al. Compressive ghost imaging. Applied Physics Letters, 95, 131110(2009).

[72] L Jiying, Z Jubo, L Chuan, et al. High-quality quantum-imaging algorithm and experiment based on compressive sensing. Opt Lett, 35, 1206-1208(2010).

[73] V Katkovnik, J Astola. Compressive sensing computational ghost imaging. J Opt Soc Am A, 29, 1556-1567(2012).

[74] S Han, H Yu, X Shen, et al. A review of ghost imaging via sparsity constraints. Applied Sciences, 8, 1379(2018).

[75] Enrong Li, Mingliang Chen, Wenlin Gong, et al. Ghost imaging via compressive sampling based on digital micromirror device. Acta Optica Sinica, 33, 1211003(2013).

[76] J Li, B Luo, D Yang, et al. Negative exponential behavior of image mutual information for pseudo-thermal light ghost imaging: observation, modeling, and verification. Science Bulletin, 62, 717-723(2017).

[77] C Hu, R Zhu, H Yu, et al. Correspondence Fourier-transform ghost imaging. Physical Review A, 103, 043717(2021).

[78] Kaihong Luo, Boqiang Huang, Weimou Zheng, et al. Nonlocal imaging by conditional averaging of random reference measurements. Chin Phys Lett, 29, 074216(2012).

[79] M-F Li, Y-R Zhang, K-H Luo, et al. Time-correspondence differential ghost imaging. Physical Review A, 87, 033813(2013).

[80] D L Donoho, X Huo. Uncertainty principles and ideal atomic decomposition. IEEE Transactions on Information Theory, 47, 2845-2862(2001).

[81] M A Davenport, M B Wakin. Analysis of orthogonal matching pursuit using the restricted isometry property. IEEE Transactions on Information Theory, 56, 4395-4401(2010).

[82] J A Tropp. Greed is good: Algorithmic results for sparse approximation. IEEE Transactions on Information Theory, 50, 2231-2242(2004).

[83] L Mandel, E C G Sudarshan, E Wolf. Theory of photoelectric detection of light fluctuations. Proceedings of the Physical Society, 84, 435-444(1964).

[84] E D Kolaczyk, R D Nowak. Multiscale likelihood analysis and complexity penalized estimation. The Annals of Statistics, 32, 500-527(2004).

[85] M Makitalo, A Foi. Optimal inversion of the anscombe transformation in low-count poisson image denoising. IEEE Transactions on Image Processing, 20, 99-109(2011).

[86] F Ferri, D Magatti, A Gatti, et al. High-resolution ghost image and ghost diffraction experiments with thermal light. Physical Review Letters, 94, 183602(2005).

[87] M Zhang, Q Wei, X Shen, et al. Lensless Fourier-transform ghost imaging with classical incoherent light. Physical Review A, 75, 021803(2007).

[88] M Bache, D Magatti, F Ferri, et al. Coherent imaging of a pure phase object with classical incoherent light. Physical Review A, 73, 053802(2006).

[89] A Gatti, M Bache, D Magatti, et al. Coherent imaging with pseudo-thermal incoherent light. Journal of Modern Optics, 53, 739-760(2006).

[90] W Gong, S Han. A method to improve the visibility of ghost images obtained by thermal light. Physics Letters A, 374, 1005-1008(2010).

[91] B Sun, S S Welsh, M P Edgar, et al. Normalized ghost imaging. Opt Express, 20, 16892-16901(2012).

[92] C Zhang, S Guo, J Cao, et al. Object reconstitution using pseudo-inverse for ghost imaging. Opt Express, 22, 30063-30073(2014).

[93] W Gong. High-resolution pseudo-inverse ghost imaging. Photon Res, 3, 234-237(2015).

[94] X Zhang, X Meng, X Yang, et al. Singular value decomposition ghost imaging. Opt Express, 26, 12948-12958(2018).

[95] Z Tong, Z Liu, C Hu, et al. Preconditioned deconvolution method for high-resolution ghost imaging. Photon Res, 9, 1069-1077(2021).

[96] D L Donoho. Compressed sensing. IEEE Transactions on Information Theory, 52, 1289-1306(2006).

[97] E J Candes, T Tao. Near-optimal signal recovery from random projections: Universal Encoding Strategies?. IEEE Transactions on Information Theory, 52, 5406-5425(2006).

[98] W Gong, C Zhao, H Yu, et al. Three-dimensional ghost imaging lidar via sparsity constraint. Scientific Reports, 6, 26133(2016).

[99] H Wang, S Han. Coherent ghost imaging based on sparsity constraint without phase-sensitive detection. EPL (Europhysics Letters), 98, 24003(2012).

[100] S Liu, Z Liu, J Wu, et al. Hyperspectral ghost imaging camera based on a flat-field grating. Opt Express, 26, 17705-17716(2018).

[101] R D Gill, B Y Levit. Applications of the van trees inequality: A Bayesian Cramér-Rao bound. Bernoulli, 1, 59-79(1995).

[102] Davison A C, Hinkley D V. Bootstrap Methods Their Application [M]. New Yk: Cambridge University Press, 1997.

[103] L Tenorio, F Andersson, Hoop M de, et al. Data analysis tools for uncertainty quantification of inverse problems. Inverse Problems, 27, 045001(2011).

[104] J Xu, Q Li, J Wang. Multiple norms and boundary constraint enforced image deblurring via efficient MCMC algorithm. IEEE Signal Processing Letters, 27, 41-45(2020).

[105] Cohen S, Tomasi C. Systems of Bilinear Equations [R]. Califnia: Stanfd University, 1997.

[106] C Helstrom. The detection and resolution of optical signals. IEEE Transactions on Information Theory, 10, 275-287(1964).

[107] E L Kosarev. Shannon's superresolution limit for signal recovery. Inverse Problems, 6, 55-76(1990).

[108] L B Lucy. Resolution limits for deconvolved images. The Astronomical Journal, 104, 1260(1992).

[109] L B Lucy. Statistical limits to super resolution. Astronomy and Astrophysics, 261, 706(1992).

[110] Dekker A J den, den Bos A van. Resolution: A survey. J Opt Soc Am A, 14, 547-557(1997).

[111] S T Smith. Statistical resolution limits and the complexified Crame/spl acute/r-Rao bound. IEEE Transactions on Signal Processing, 53, 1597-1609(2005).

[112] M Tsang. Quantum limits to optical point-source localization. Optica, 2, 646-653(2015).

[113] M Tsang, R Nair, X-M Lu. Quantum theory of superresolution for two incoherent optical point sources. Physical Review X, 6, 031033(2016).

[114] X-M Lu, H Krovi, R Nair, et al. Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation. NPJ Quantum Information, 4, 64(2018).

[115] Han Zhe. Research on application of sensitivity analysis convex optimization they in ghost imaging[D]. Beijing: Beijing University of Posts Telecommunications, 2020. (in Chinese)

[116] Z Ben-Haim, Y C Eldar. On the constrained CramÉr–Rao bound with a singular fisher information matrix. IEEE Signal Processing Letters, 16, 453-456(2009).

CLP Journals