• Photonics Research
  • Vol. 9, Issue 4, B81 (2021)
Xiao Wang1, Yufeng Qian1, JingJing Zhang1, Guangdong Ma1, Shupeng Zhao1, RuiFeng Liu1、*, Hongrong Li1, Pei Zhang1, Hong Gao1, Feng Huang2、3, and Fuli Li1
Author Affiliations
  • 1Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi’an Jiaotong University, Xi’an 710049, China
  • 2School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, China
  • 3e-mail: huangf@fzu.edu.cn
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    DOI: 10.1364/PRJ.412965 Cite this Article Set citation alerts
    Xiao Wang, Yufeng Qian, JingJing Zhang, Guangdong Ma, Shupeng Zhao, RuiFeng Liu, Hongrong Li, Pei Zhang, Hong Gao, Feng Huang, Fuli Li. Learning to recognize misaligned hyperfine orbital angular momentum modes[J]. Photonics Research, 2021, 9(4): B81 Copy Citation Text show less
    References

    [1] L. Allen, M. W. Beijersbergen, R. Spreeuw, J. Woerdman. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).

    [2] A. M. Yao, M. J. Padgett. Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon., 3, 161-204(2011).

    [3] A. Vaziri, G. Weihs, A. Zeilinger. Experimental two-photon, three-dimensional entanglement for quantum communication. Phys. Rev. Lett., 89, 240401(2002).

    [4] G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, S. Franke-Arnold. Free-space information transfer using light beams carrying orbital angular momentum. Opt. Express, 12, 5448-5456(2004).

    [5] J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

    [6] N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, S. Ramachandran. Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science, 340, 1545-1548(2013).

    [7] M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, A. Zeilinger. Communication with spatially modulated light through turbulent air across Vienna. New J. Phys., 16, 113028(2014).

    [8] A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, S. Ashrafi. Optical communications using orbital angular momentum beams. Adv. Opt. Photon., 7, 66-106(2015).

    [9] M. Krenn, J. Handsteiner, M. Fink, R. Fickler, R. Ursin, M. Malik, A. Zeilinger. Twisted light transmission over 143  km. Proc. Natl. Acad. Sci. USA, 113, 13648-13653(2016).

    [10] M. P. Lavery, C. Peuntinger, K. Günthner, P. Banzer, D. Elser, R. W. Boyd, M. J. Padgett, C. Marquardt, G. Leuchs. Free-space propagation of high-dimensional structured optical fields in an urban environment. Sci. Adv., 3, e1700552(2017).

    [11] A. Mair, A. Vaziri, G. Weihs, A. Zeilinger. Entanglement of the orbital angular momentum states of photons. Nature, 412, 313-316(2001).

    [12] E. Bolduc, N. Bent, E. Santamato, E. Karimi, R. W. Boyd. Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram. Opt. Lett., 38, 3546-3549(2013).

    [13] J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, J. Courtial. Measuring the orbital angular momentum of a single photon. Phys. Rev. Lett., 88, 257901(2002).

    [14] G. C. Berkhout, M. P. Lavery, J. Courtial, M. W. Beijersbergen, M. J. Padgett. Efficient sorting of orbital angular momentum states of light. Phys. Rev. Lett., 105, 153601(2010).

    [15] M. Mirhosseini, M. Malik, Z. Shi, R. W. Boyd. Efficient separation of the orbital angular momentum eigenstates of light. Nat. Commun., 4, 2781(2013).

    [16] Y. Wen, I. Chremmos, Y. Chen, J. Zhu, Y. Zhang, S. Yu. Spiral transformation for high-resolution and efficient sorting of optical vortex modes. Phys. Rev. Lett., 120, 193904(2018).

    [17] Y. Wen, I. Chremmos, Y. Chen, G. Zhu, J. Zhang, J. Zhu, Y. Zhang, J. Liu, S. Yu. Compact and high-performance vortex mode sorter for multi-dimensional multiplexed fiber communication systems. Optica, 7, 254-262(2020).

    [18] G. C. Berkhout, M. W. Beijersbergen. Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects. Phys. Rev. Lett., 101, 100801(2008).

    [19] J. Hickmann, E. Fonseca, W. Soares, S. Chávez-Cerda. Unveiling a truncated optical lattice associated with a triangular aperture using light’s orbital angular momentum. Phys. Rev. Lett., 105, 053904(2010).

    [20] R. Liu, J. Long, F. Wang, Y. Wang, P. Zhang, H. Gao, F. Li. Characterizing the phase profile of a vortex beam with angular-double-slit interference. J. Opt., 15, 125712(2013).

    [21] K. Dai, C. Gao, L. Zhong, Q. Na, Q. Wang. Measuring OAM states of light beams with gradually-changing-period gratings. Opt. Lett., 40, 562-565(2015).

    [22] G. Molina-Terriza, J. P. Torres, L. Torner. Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum. Phys. Rev. Lett., 88, 013601(2001).

    [23] M. Vasnetsov, V. Pas’ko, M. Soskin. Analysis of orbital angular momentum of a misaligned optical beam. New J. Phys., 7, 46(2005).

    [24] V. D’Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, F. Sciarrino. Complete experimental toolbox for alignment-free quantum communication. Nat. Commun., 3, 961(2012).

    [25] Y.-D. Liu, C. Gao, X. Qi, H. Weber. Orbital angular momentum (OAM) spectrum correction in free space optical communication. Opt. Express, 16, 7091-7101(2008).

    [26] Y. LeCun, Y. Bengio, G. Hinton. Deep learning. Nature, 521, 436-444(2015).

    [27] M. Lyu, H. Wang, G. Li, S. Zheng, G. Situ. Learning-based lensless imaging through optically thick scattering media. Adv. Photon., 1, 036002(2019).

    [28] Y. Li, Y. Xue, L. Tian. Deep speckle correlation: a deep learning approach toward scalable imaging through scattering media. Optica, 5, 1181-1190(2018).

    [29] Y. Sun, J. Shi, L. Sun, J. Fan, G. Zeng. Image reconstruction through dynamic scattering media based on deep learning. Opt. Express, 27, 16032-16046(2019).

    [30] M. Deng, S. Li, A. Goy, I. Kang, G. Barbastathis. Learning to synthesize: robust phase retrieval at low photon counts. Light Sci. Appl., 9, 1(2020).

    [31] A. Goy, K. Arthur, S. Li, G. Barbastathis. Low photon count phase retrieval using deep learning. Phys. Rev. Lett., 121, 243902(2018).

    [32] Q. Zhao, S. Hao, Y. Wang, L. Wang, X. Wan, C. Xu. Mode detection of misaligned orbital angular momentum beams based on convolutional neural network. Appl. Opt., 57, 10152-10158(2018).

    [33] Z. Liu, S. Yan, H. Liu, X. Chen. Superhigh-resolution recognition of optical vortex modes assisted by a deep-learning method. Phys. Rev. Lett., 123, 183902(2019).

    [34] P. Wang, J. Liu, L. Sheng, Y. He, W. Xiong, Z. Huang, X. Zhou, Y. Li, S. Chen, X. Zhang, D. Fan. Convolutional neural network-assisted optical orbital angular momentum recognition and communication. IEEE Access, 7, 162025(2019).

    [35] S. Sharifi, Y. Banadaki, G. Veronis, J. P. Dowling. Towards classification of experimental Laguerre–Gaussian modes using convolutional neural networks. Opt. Eng., 59, 076113(2020).

    [36] T. Giordani, A. Suprano, E. Polino, F. Acanfora, L. Innocenti, A. Ferraro, M. Paternostro, N. Spagnolo, F. Sciarrino. Machine learning-based classification of vector vortex beams. Phys. Rev. Lett., 124, 160401(2020).

    [37] A. A. Melnikov, H. P. Nautrup, M. Krenn, V. Dunjko, M. Tiersch, A. Zeilinger, H. J. Briegel. Active learning machine learns to create new quantum experiments. Proc. Natl. Acad. Sci. USA, 115, 1221-1226(2018).

    [38] K. He, X. Zhang, S. Ren, J. Sun. Deep residual learning for image recognition. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 770-778(2016).

    [39] G. Huang, Z. Liu, L. Van Der Maaten, K. Q. Weinberger. Densely connected convolutional networks. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 4700-4708(2017).

    [40] M. Harwit. Photon orbital angular momentum in astrophysics. Astrophys. J., 597, 1266-1270(2003).

    [41] H. Vogel. A better way to construct the sunflower head. Math. Biosci., 44, 179-189(1979).

    [42] J. Dajka, J. Łuczka, P. Hänggi. Distance between quantum states in the presence of initial qubit-environment correlations: a comparative study. Phys. Rev. A, 84, 032120(2011).

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    Xiao Wang, Yufeng Qian, JingJing Zhang, Guangdong Ma, Shupeng Zhao, RuiFeng Liu, Hongrong Li, Pei Zhang, Hong Gao, Feng Huang, Fuli Li. Learning to recognize misaligned hyperfine orbital angular momentum modes[J]. Photonics Research, 2021, 9(4): B81
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