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Research on adaptive optics technology based on phase contrast Gerchberg Saxton algorithm

  • Rui Wang EMAIL logo , Xizheng Ke , Jingyuan Lang and JiaLi Wu
Published/Copyright: September 2, 2024

Abstract

In wireless optical communication, the optical signal passes through the atmospheric turbulence, resulting in the simultaneous distortion of the amplitude and phase of the optical signal at the receiving end. This article applies the idea of phase contrast method to simultaneously compensate the amplitude and phase of the optical signal at the receiving end, derives the mapping relationship between the compensated phase and light intensity, and obtains the required compensated phase for full-field compensation. Numerical calculations show that when the difference between zero-frequency phase compensation and nonzero-frequency phase compensation is ±π, the maximum light intensity compensation is obtained. Based on the Gerchberg Saxton algorithm, a new method is proposed to invert the compensated phase with the maximum light intensity after full-field compensation and perform full-field correction through the adaptive optical system. The numerical calculation and experiment show that the phase contrast Gerchberg Saxton algorithm can effectively compensate the distorted optical signals under different turbulence, and thus the received signals of optical wireless communication can be corrected in full field.


Corresponding author: Rui Wang, School of Automation and Information Engineering, Xi’an University of Technology, Xi’an, Shaanxi 710048, China; and School of Information, Xi’an University of Finance and Economics, Xi’an, Shaanxi 710100, China, E-mail: 

Funding source: Xi ’an Science and Technology Plan Project

Award Identifier / Grant number: 2020KJRC0083

Funding source: Shaanxi Province Key Industrial Innovation Project

Award Identifier / Grant number: 2017ZDCXL-GY-06-01

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 1377080

  1. Research ethics: The local Institutional Review Board deemed the study exempt from review.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors state no conflict of interest.

  4. Research funding: This research is supported by the National Natural Science Foundation of China (No. 1377080), Shaanxi Province Key Industrial Innovation Project (No. 2017ZDCXL-GY-06-01), and Xi 'an Science and Technology Plan Project (No. 2020KJRC0083).

  5. Data availability: The data can be obtained on request from the corresponding author.

References

[1] X. Z. Ke, J. L. Wu, and S. J. Yang, “Research progress and prospect of atmospheric turbulence for wireless optical communication,” Chin. J. Radiol., vol. 36, no. 3, pp. 323–339, 2021.Search in Google Scholar

[2] J. Störkle, L. Hahn, and P. Eberhard, “Simulation of segmented mirrors with adaptive optics,” AOT, vol. 8, no. 2, pp. 119–127, 2019. https://doi.org/10.1515/aot-2018-0063.Search in Google Scholar

[3] X. Z. Ke, S. J. Yang, J. L. Wu, and X. R. Zhong, “Research progress of adaptive optics in wireless optical communication system for Xi’an University of Technology,” High Power Laser Part. Beams, vol. 33, no. 8, pp. 30–52, 2021.Search in Google Scholar

[4] Y. Xu, C. Liu, B. Lan, and M. Chen, “Research progress of adaptive optics in satellite-to-ground laser communication,” Laser Optoelectron. Prog., vol. 60, no. 5, pp. 56–66, 2023.Search in Google Scholar

[5] L. Jiang, Z. S. Dai, X. Yu, T. Dai, C. Wang, and S. Tong, “Experimental demonstration of a single-mode fiber coupling over a 1 km urban path with adaptive optics,” J. Russ. Laser Res., vol. 42, no. 3, pp. 363–370, 2021. https://doi.org/10.1007/s10946-021-09971-4.Search in Google Scholar

[6] J. Osborn, M. J. Townson, O. J. D. Farley, A. Reeves, and R. M. Calvo, “Adaptive optics pre-compensated laser uplink to LEO and GEO,” Opt. Express, vol. 29, no. 4, pp. 6113–6132, 2021. https://doi.org/10.1364/oe.413013.Search in Google Scholar PubMed

[7] L. Paillier, R. L. Bidan, J. M. Conan, G. Artaud, N. Vedrenne, and Y. Jaouen, “Space-ground coherent optical links: ground receiver performance with adaptive optics and digital phase-locked loop,” J. Lightwave Technol., vol. 38, no. 20, pp. 5716–5727, 2020. https://doi.org/10.1109/jlt.2020.3003561.Search in Google Scholar

[8] I. Toselli and S. Gladysz, “Improving system performance by using adaptive optics and aperture averaging for laser communications in oceanic turbulence,” Opt. Express, vol. 28, no. 12, pp. 17347–17361, 2020. https://doi.org/10.1364/oe.394468.Search in Google Scholar

[9] Z. Q. Li, X. Y. Gao, Z. Y. Gao, and Q. W. Jia, “Review of wavefront sensing technology in adaptive optics based on deep learning,” HPLPB, vol. 33, no. 8, pp. 5–17, 2021.Search in Google Scholar

[10] Z. Q. Li, X. Y. Li, and R. G. Liang, “Random two-frame interferometry based on deep learning,” Opt. Express, vol. 28, no. 17, pp. 24747–24760, 2020. https://doi.org/10.1364/oe.397904.Search in Google Scholar

[11] K. Hu, et al.., “Self-learning control for wavefront sensorless adaptive optics system through deep reinforcement learning,” Optik, vol. 178, no. 18, pp. 785–793, 2019. https://doi.org/10.1016/j.ijleo.2018.09.160.Search in Google Scholar

[12] E. E. Bloemhof and J. K. Wallace, “Simple broadband implementation of a phase contrast wavefront sensor for adaptive optics,” Opt. Express, vol. 12, no. 25, pp. 6240–6245, 2004. https://doi.org/10.1364/opex.12.006240.Search in Google Scholar PubMed

[13] E. E. Bloemhof and J. K. Wallace, “Phase-contrast wavefront sensing for adaptive optics,” SPIE-Int. Soc. Opt. Eng., vol. 5553, pp. 159–169, 2003. https://doi.org/10.1117/12.560373.Search in Google Scholar

[14] E. E. Bloemhof and J. K. Wallace, “Phase contrast techniques for wavefront sensing and calibration in adaptive optics,” SPIE-Int. Soc. Opt. Eng., vol. 5169, pp. 309–320, 2004. https://doi.org/10.1117/12.507245.Search in Google Scholar

[15] E. W. Justh and M. A. Vorontsov, “Adaptive wavefront control using a nonlinear Zernike filter,” SPIE-Int. Soc. Opt. Eng., vol. 4142, pp. 189–200, 2000. https://doi.org/10.1117/12.407501.Search in Google Scholar

[16] M. A. Vorontsov, “Decoupled stochastic parallel gradient descent optimization for adaptive optics integrated approach for wave-front sensor information fusion,” JOSA A, vol. 19, no. 2, pp. 356–368, 2002. https://doi.org/10.1364/josaa.19.000356.Search in Google Scholar PubMed

[17] G. W. Carhart and M. A. Vorontsov, “Adaptive aberration correction based on an opto-electronic Zernike wavefront sensor and the decoupled stochastic parallel gradient descent control technique,” SPIE-Int. Soc. Opt. Eng., vol. 4493, pp. 166–173, 2002. https://doi.org/10.1117/12.454709.Search in Google Scholar

[18] M. A. Vorontsov, E. W. Justh, and L. A. Beresnev, “Adaptive optics with advanced phase-contrast techniques I:High- resolution wave-front sensing,” JOSA A, vol. 18, no. 6, pp. 1289–1298, 2001. https://doi.org/10.1364/josaa.18.001289.Search in Google Scholar PubMed

[19] E. W. Justh and M. A. Vorontsov, “Adaptive optics with advanced phase-contrast techniques II:High- resolution wave-front sensing,” JOSA A, vol. 18, no. 6, pp. 300–1311, 2001.10.1364/JOSAA.18.001300Search in Google Scholar

[20] J. Y. Liang, H. R. Wang, and N. Zhang, “Research progress of deformable mirror and its control algorithm,” Stud. Opt. Commun., vol. 50, no. 2, pp. 22006201–22006209, 2024.Search in Google Scholar

[21] J. W. Goodman, K. C. Qing, P. S. Liu, and Q. Y. Cao, Introduction to Fourier Optics, 3rd ed. Beijing, PHEI, 2016, pp. 157–168.Search in Google Scholar

[22] J. Korte, P. Groschopp, and P. Berg, “Resolution-based comparative analysis of 4D-phase-contrast magnetic resonance images and hemodynamic simulations of the aortic arch,” CDBME, vol. 9, no. 1, pp. 650–653, 2023. https://doi.org/10.1515/cdbme-2023-1163.Search in Google Scholar

[23] Y. X. Zhang and Z. Y. Chi, Propagation and Imaging of Light Waves in Atmosphere, Beijing, National Defense Industry Press, 1997, pp. 9–17.Search in Google Scholar

[24] M. Teschke and S. Sinzinger, “Phase contrast imaging: a generalized perspective,” JOSA A, vol. 26, no. 4, pp. 1015–1021, 2009. https://doi.org/10.1364/josaa.26.001015.Search in Google Scholar PubMed

[25] Y. J. Li, W. Y. Zhu, and R. Z. Rao, “Simulation of random phase screen of non-Kolmogorov atmospheric turbulence,” Infrared Laser Eng., vol. 45, no. 12, pp. 169–176, 2016.10.3788/IRLA20164512.1211001Search in Google Scholar

[26] R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik, vol. 35, no. 2, pp. 237–246, 1972.Search in Google Scholar

[27] J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt., vol. 21, no. 15, pp. 2758–2769, 1982. https://doi.org/10.1364/ao.21.002758.Search in Google Scholar PubMed

[28] J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett., vol. 3, no. 1, pp. 27–29, 1978. https://doi.org/10.1364/ol.3.000027.Search in Google Scholar PubMed

[29] J. R. Fienup, “Phase retrieval algorithms: a personal tour,” Appl. Opt., vol. 52, no. 1, pp. 45–56, 2013. https://doi.org/10.1364/ao.52.000045.Search in Google Scholar

[30] J. Liang, D. R. Williams, and D. T. Miller, “Supernormal vision and high-resolution retinal imaging through adaptive optics,” JOSA A, vol. 14, no. 11, pp. 2884–2892, 1997. https://doi.org/10.1364/josaa.14.002884.Search in Google Scholar PubMed

[31] Y. Y. Zhang, S. Zhao, and X. Zhen, “Design of DOE based on modified GS algorithm for preparation of micron-scale uniform light spot in ultraviolet band,” Acta Opt. Sin., vol. 43, no. 11, pp. 119–126, 2023.Search in Google Scholar

[32] Z. K. Tan, X. Z. Tan, and J. Wang, “Experimental study on the wavefront correction of heterodyne detection system,” Chin. J. Instrum., vol. 39, no. 12, pp. 121–126, 2018.Search in Google Scholar

[33] L. H. Huang, Y. Ning, H. F. Yang, C. H. Rao, and W. H. Jiang, “Multi-frame algorithm with deformable mirror,” Acta Opt. Sin., vol. 29, no. 6, pp. 1443–1448, 2009. https://doi.org/10.3788/aos20092906.1443.Search in Google Scholar

[34] L. M. Close, et al.., “First closed-loop visible AO test results for the advanced adaptive secondary AO system for the Magellan Telescope: MagAO’s performance and status,” Proc. SPIE, vol. 8447, no. 1, pp. 75–86, 2012.10.1117/12.926545Search in Google Scholar

[35] A. Bouchez, R. Dekany, and J. Angione, “The PALM-3000 high-order adaptive optics system for Palomar Observatory,” Proc. SPIE, vol. 7015, p. 70150Z1–70150Z7, 2008. https://doi.org/10.1117/12.789777.Search in Google Scholar

[36] Y. P. Wang, et al.., “Application of adaptive optics in super-resolution microscopic imaging techniques,” Infrared Laser Eng., vol. 53, no. 3, pp. 20240011-1–20240011-15, 2024.10.3788/IRLA20240011Search in Google Scholar

[37] Y. Fan, et al.., “Review of the development of differential phase contrast microscopy,” Infrared Laser Eng., vol. 48, no. 6, pp. 0603014-1–0603014-20, 2019.10.3788/IRLA201948.0603014Search in Google Scholar

[38] C. Zuo, Q. Chen, W. Qu, and A. Asundi, “No interferometric single-shot quantitative phase microscopy,” Opt. Lett., vol. 38, no. 18, pp. 3538–3541, 2013. https://doi.org/10.1364/ol.38.003538.Search in Google Scholar

[39] C. Zuo, Q. Chen, Y. Yu, and A. Asundi, “Transport-of-intensity phase imaging using Savitzky-Golay differentiation filter-theory and applications,” Opt. Express, vol. 21, no. 5, pp. 5346–5362, 2013. https://doi.org/10.1364/oe.21.005346.Search in Google Scholar

[40] F. Pfeiffer, Weitkamp, O. Bunk, and C. David, “Phase retrieval and differential phase-contrast imaging with low-brilliance X -ray sources,” Nat. Phys., vol. 2, no. 4, pp. 258–261, 2006. https://doi.org/10.1038/nphys265.Search in Google Scholar

[41] Y. F. Gao, X. Y. Xia, H. Li, and W. Zheng, “Wavefront modulation improves wo-photon microscopy resolution of clearing tissues,” Chin. J. Lett., vol. 44, no. 1, p. 0107002, 2017.10.3788/CJL201744.0107002Search in Google Scholar

[42] Z. P. Yu, et al.., “Wavefront shaping: a versatile tool to conquer multiple scattering in multidisciplinary fields,” Innovation, vol. 3, no. 5, pp. 100292-1–100292-14, 2022. https://doi.org/10.1016/j.xinn.2022.100292.Search in Google Scholar PubMed PubMed Central

[43] T. W. Geng, et al.., “A review of the application of adaptive optics technology in European and American laser communication ground stations,” TT&C J., vol. 43, no. 4, pp. 80–88, 2022.Search in Google Scholar

[44] Y. Xu, et al.., “Research progress of adaptive optics in satellite-to-ground laser communication,” Laser Optoelectron. Prog., vol. 60, no. 5, pp. 0500004-1–0500004-11, 2023.10.3788/LOP220582Search in Google Scholar

[45] X. Luo, X. Y. Li, C. Wang, X. Wang, and S. Hu, “Atmospheric wave-front aberration detection using sodium laser guide star under strong skylight background,” Chin. J. Lett., vol. 51, no. 8, pp. 0804002-1–0804002-11, 2024.10.3788/CJL231028Search in Google Scholar

Received: 2024-03-16
Accepted: 2024-08-07
Published Online: 2024-09-02
Published in Print: 2024-10-28

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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