Chin. Phys. Lett.  2021, Vol. 38 Issue (6): 064202    DOI: 10.1088/0256-307X/38/6/064202
Bayesian Optimization for Wavefront Sensing and Error Correction
Zhong-Hua Qian1,2, Zi-Han Ding3, Ming-Zhong Ai1,2, Yong-Xiang Zheng1,2, Jin-Ming Cui1,2*, Yun-Feng Huang1,2, Chuan-Feng Li1,2, and Guang-Can Guo1,2
1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
2CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
3Department of Electrical and Computer Engineering, Princeton University, Princeton, New Jersey 08544, USA
Cite this article:   
Zhong-Hua Qian, Zi-Han Ding, Ming-Zhong Ai et al  2021 Chin. Phys. Lett. 38 064202
Download: PDF(835KB)   PDF(mobile)(934KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Algorithms for wavefront sensing and error correction from intensity attract great concern in many fields. Here we propose Bayesian optimization to retrieve phase and demonstrate its performance in simulation and experiment. For small aberration, this method demonstrates a convergence process with high accuracy of phase sensing, which is also verified experimentally. For large aberration, Bayesian optimization is shown to be insensitive to the initial phase while maintaining high accuracy. The approach's merits of high accuracy and robustness make it promising in being applied in optical systems with static aberration such as AMO experiments, optical testing shops, and electron or optical microscopes.
Received: 21 February 2021      Published: 25 May 2021
PACS:  42.15.Fr (Aberrations)  
  03.75.Be (Atom and neutron optics)  
  42.25.Bs (Wave propagation, transmission and absorption) (Optimization)  
Fund: Supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0304100 and 2016YFA0302700), the National Natural Science Foundation of China (Grant Nos. 11874343, 61327901, 11774335, 11474270, 11734015, and 11821404).
URL:       OR
E-mail this article
E-mail Alert
Articles by authors
Zhong-Hua Qian
Zi-Han Ding
Ming-Zhong Ai
Yong-Xiang Zheng
Jin-Ming Cui
Yun-Feng Huang
Chuan-Feng Li
and Guang-Can Guo
[1] Wilding D, Pozzi P, Soloviev O, Vdovin G, and Verhaegen M 2016 Opt. Express 24 24896
[2] Tao X, Fernandez B, Azucena O, Fu M, and Garcia D 2011 Opt. Lett. 36 1062
[3] Engler B, Weddell S, and Clare R 2017 International Conference on Image and Vision Computing New Zealand (IVCNZ), Christchurch, New Zealand, 4–6 December 2017, pp 1–7
[4] Andersen T, Owner-Petersen M, and Enmark A 2019 Opt. Lett. 44 4618
[5] Yoon J W, Jeon C, Shin J, Lee S K, and Lee H W 2019 Opt. Express 27 20412
[6]Kudryashov A, Samarkin V, Alexandrov A, Rukosuev A, and Zavalova V 2005 Adaptive Optics for Industry and Medicine (Berlin: Springer) p 237
[7] Zhao T, Deng L, Wang W, Elson D S, and Su L 2018 Opt. Express 26 20368
[8] Zupancic P, Preiss P M, Ma R, Lukin A, and Tai M E 2016 Opt. Express 24 13881
[9] Platt B C and Shack R 2001 J. Refractive Surg. 17 S573
[10] Fienup J R 1993 Appl. Opt. 32 1737
[11] Song H, Fraanje R, Schitter G, Kroese H, and Vdovin G 2010 Opt. Express 18 24070
[12] Fienup J R 1982 Appl. Opt. 21 2758
[13] Zhu W, Chen L, Gu C, Wan J, and Zheng D 2015 Appl. Opt. 54 6155
[14] Wang J, Léger J F, Binding J, Boccara A C, and Gigan S 2012 Biomed. Opt. Express 3 2510
[15] Carrara D A, Thelen B J, and Paxman R G 2000 Proc. SPIE 4123 56
[16] Thelen B J, Paxman R G, Carrara D A, and Seldin J H 2009 J. Opt. Soc. Am. A 26 206
[17] Paine S W and Fienup J R 2018 Opt. Lett. 43 1235
[18] Xu Y, He D, Wang Q, Guo H, and Li Q 2019 Sensors 19
[19] Nishizaki Y, Valdivia M, Horisaki R, Kitaguchi K, and Saito M 2019 Opt. Express 27 240
[20] Allan G, Kang I, Douglas E S, Barbastathis G, and Cahoy K 2020 Opt. Express 28 26267
[21] Frazier P I 2018 arXiv:1807.02811 [stat.ML]
[22]Snoek J, Larochelle H, and Adams R P 2012 Advances in Neural Information Processing Systems 25 (Curran Associates, Inc.) p 2951
[23] Calandra R, Seyfarth A, Peters J, and Deisenroth M P 2016 Ann. Math. Artificial Intell. 76 5
[24] Ekström A, Forssén C, Dimitrakakis C, Dubhashi D, and Johansson H T 2019 J. Phys. G 46 095101
[25] Ross T S 2009 Appl. Opt. 48 1812
[26] Shahriari B, Swersky K, Wang Z, Adams R P, and de Freitas N 2016 Proc. IEEE 104 148
[27]Snoek J, Larochelle H, and Adams R P 2012 Proc. 25th International Conference on Neural Information Processing Systems (Curran Associates Inc.) vol 2 p 2951
[29] Unterhorst H A and Rubin A 2015 Afr. Vision Eye Health 74 6
[30] Delabie T, Schutter J D, and Vandenbussche B 2014 J. Astronaut. Sci. 61 60
[31] Lee W H 1974 Appl. Opt. 13 1677
Full text