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    Journals >Photonics Research >Volume 9 >Issue 1 >Page 34 > Article
    • Photonics Research
    • Vol. 9, Issue 1, 34 (2021)
    Generalizing the Gerchberg–Saxton algorithm for retrieving complex optical transmission matrices
    Guoqiang Huang1, Daixuan Wu1, Jiawei Luo1, Liang Lu2, Fan Li1, Yuecheng Shen3, and Zhaohui Li4
    Author Affiliations
  • 1Key Laboratory of Optoelectronic Materials and Technologies, School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510275, China
  • 2Information Materials and Intelligent Sensing Laboratory of Anhui Province, Key Laboratory of Opto-Electronic Information Acquisition and Manipulation of Ministry of Education, Anhui University, Hefei 230601, China
  • 3Key Laboratory of Optoelectronic Materials and Technologies, School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510275, China
  • 4Key Laboratory of Optoelectronic Materials and Technologies, School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510275, China
    • show less
    DOI: 10.1364/PRJ.406010 Cite this Article Set citation alerts
    Guoqiang Huang, Daixuan Wu, Jiawei Luo, Liang Lu, Fan Li, Yuecheng Shen, Zhaohui Li. Generalizing the Gerchberg–Saxton algorithm for retrieving complex optical transmission matrices[J]. Photonics Research, 2021, 9(1): 34 Copy Citation Text show less
    References

    [1] R. W. Gerchberg. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik, 35, 237-246(1972).

    [2] J. R. Fienup. Phase retrieval algorithms: a comparison. Appl. Opt., 21, 2758-2769(1982).

    [3] J. R. Fienup. Phase-retrieval algorithms for a complicated optical system. Appl. Opt., 32, 1737-1746(1993).

    [4] R. P. Millane. Phase retrieval in crystallography and optics. J. Opt. Soc. Am. A, 7, 394-411(1990).

    [5] D. J. Kane, R. Trebino. Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating. IEEE J. Quantum Electron., 29, 571-579(1993).

    [6] G. Zheng, R. Horstmeyer, C. Yang. Wide-field, high-resolution Fourier ptychographic microscopy. Nat. Photonics, 7, 739-745(2013).

    [7] P. Sidorenko, O. Kfir, Y. Shechtman, A. Fleischer, Y. C. Eldar, M. Segev, O. Cohen. Sparsity-based super-resolved coherent diffraction imaging of one-dimensional objects. Nat. Commun., 6, 8209(2015).

    [8] K. Lee, Y. Park. Exploiting the speckle-correlation scattering matrix for a compact reference-free holographic image sensor. Nat. Commun., 7, 13359(2016).

    [9] S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, S. Gigan. Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. Phys. Rev. Lett., 104, 100601(2010).

    [10] J. Bertolotti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, A. P. Mosk. Non-invasive imaging through opaque scattering layers. Nature, 491, 232-234(2012).

    [11] T. R. Hillman, T. Yamauchi, W. Choi, R. R. Dasari, M. S. Feld, Y. Park, Z. Yaqoob. Digital optical phase conjugation for delivering two-dimensional images through turbid media. Sci. Rep., 3, 1909(2013).

    [12] I. N. Papadopoulos, S. Farahi, C. Moser, D. Psaltis. High-resolution, lensless endoscope based on digital scanning through a multimode optical fiber. Biomed. Opt. Express, 4, 260-270(2013).

    [13] O. Katz, P. Heidmann, M. Fink, S. Gigan. Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations. Nat. Photonics, 8, 784-790(2014).

    [14] J. Xu, H. Ruan, Y. Liu, H. Zhou, C. Yang. Focusing light through scattering media by transmission matrix inversion. Opt. Express, 25, 27234-27246(2017).

    [15] J. Xu, M. Cua, E. H. Zhou, Y. Horie, A. Faraon, C. Yang. Wide-angular-range and high-resolution beam steering by a metasurface-coupled phased array. Opt. Lett., 43, 5255-5258(2018).

    [16] G. Huang, D. Wu, J. Luo, Y. Huang, Y. Shen. Retrieving the optical transmission matrix of a multimode fiber using the extended Kalman filter. Opt. Express, 28, 9487-9500(2020).

    [17] A. Drémeau, A. Liutkus, D. Martina, O. Katz, C. Schülke, F. Krzakala, S. Gigan, L. Daudet. Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques. Opt. Express, 23, 11898-11911(2015).

    [18] S. Kirkpatrick, C. D. Gelatt, M. P. Vecchi. Optimization by simulated annealing. Science, 220, 671-680(1983).

    [19] T. Zhao, L. Deng, W. Wang, D. S. Elson, L. Su. Bayes’ theorem-based binary algorithm for fast reference-less calibration of a multimode fiber. Opt. Express, 26, 20368-20378(2018).

    [20] L. Deng, J. D. Yan, D. S. Elson, L. Su. Characterization of an imaging multimode optical fiber using a digital micro-mirror device based single-beam system. Opt. Express, 26, 18436-18447(2018).

    [21] M. N’Gom, M.-B. Lien, N. M. Estakhri, T. B. Norris, E. Michielssen, R. R. Nadakuditi. Controlling light transmission through highly scattering media using semi-definite programming as a phase retrieval computation method. Sci. Rep., 7, 2518(2017).

    [22] M. N’Gom, T. B. Norris, E. Michielssen, R. R. Nadakuditi. Mode control in a multimode fiber through acquiring its transmission matrix from a reference-less optical system. Opt. Lett., 43, 419-422(2018).

    [23] J. W. Goodman. Speckle Phenomena in Optics: Theory and Applications(2007).

    [24] I. M. Vellekoop, A. P. Mosk. Focusing coherent light through opaque strongly scattering media. Opt. Lett., 32, 2309-2311(2007).

    [25] X. Cheng, B. Li, B. Zhang, Q. Feng, C. Lin, Y. Ding. Deeply focusing light at 1550 nm through strongly scattering media. Opt. Commun., 405, 412-415(2017).

    [26] D. B. Conkey, A. M. Caravaca-Aguirre, R. Piestun. High-speed scattering medium characterization with application to focusing light through turbid media. Opt. Express, 20, 1733-1740(2012).

    [27] D. Wang, E. H. Zhou, J. Brake, H. Ruan, M. Jang, C. Yang. Focusing through dynamic tissue with millisecond digital optical phase conjugation. Optica, 2, 728-735(2015).

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    Guoqiang Huang, Daixuan Wu, Jiawei Luo, Liang Lu, Fan Li, Yuecheng Shen, Zhaohui Li. Generalizing the Gerchberg–Saxton algorithm for retrieving complex optical transmission matrices[J]. Photonics Research, 2021, 9(1): 34
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