中国物理B ›› 2017, Vol. 26 ›› Issue (5): 54204-054204.doi: 10.1088/1674-1056/26/5/054204

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Wavefront reconstruction algorithm for wavefront sensing based on binary aberration modes

Boqing Pang(庞博清), Shuai Wang(王帅), Tao Cheng(程涛), Qingfeng Kong(孔庆峰), Lianghua Wen(文良华), Ping Yang(杨平)   

  1. 1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    2 University of Chinese Academy of Sciences, Beijing 100049, China;
    3 The Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    4 School of Optoelectronic information, University of Electronic Science and Technology of China, Chengdu 610209, China;
    5 School of Physics and Electronic Engineering, Yibin University, Yibin 644000, China
  • 收稿日期:2016-10-26 修回日期:2017-01-10 出版日期:2017-05-05 发布日期:2017-05-05
  • 通讯作者: Ping Yang E-mail:pingyang2516@163.com
  • 基金资助:
    Project supported by the National Innovation Fund of Chinese Academy of Sciences (Grant No. CXJJ-16M208), the Preeminent Youth Fund of Sichuan Province, China (Grant No. 2012JQ0012), and the Outstanding Youth Science Fund of Chinese Academy of Sciences.

Wavefront reconstruction algorithm for wavefront sensing based on binary aberration modes

Boqing Pang(庞博清)1,2,3, Shuai Wang(王帅)1,3, Tao Cheng(程涛)1,2,3, Qingfeng Kong(孔庆峰)1,2,3,4, Lianghua Wen(文良华)1,2,3,5, Ping Yang(杨平)1,3   

  1. 1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    2 University of Chinese Academy of Sciences, Beijing 100049, China;
    3 The Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    4 School of Optoelectronic information, University of Electronic Science and Technology of China, Chengdu 610209, China;
    5 School of Physics and Electronic Engineering, Yibin University, Yibin 644000, China
  • Received:2016-10-26 Revised:2017-01-10 Online:2017-05-05 Published:2017-05-05
  • Contact: Ping Yang E-mail:pingyang2516@163.com
  • Supported by:
    Project supported by the National Innovation Fund of Chinese Academy of Sciences (Grant No. CXJJ-16M208), the Preeminent Youth Fund of Sichuan Province, China (Grant No. 2012JQ0012), and the Outstanding Youth Science Fund of Chinese Academy of Sciences.

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摘要： We propose a new algorithm for wavefront sensing based on binary intensity modulation. The algorithm is based on the fact that a wavefront can be expended with a series of orthogonal and binary functions, the Walsh series. We use a spatial light modulator (SLM) to produce different binary-intensity-modulation patterns which are the simple linear transformation of the Walsh series. The optical fields under different binary-intensity-modulation patterns are detected with a photodiode. The relationships between the incident wavefront modulated with the patterns and their optical fields are built to determinate the coefficients of the Walsh series. More detailed and strict relationship equations are established with the algorithm by adding new modulation patterns according to the properties of the Walsh functions. An exact value can be acquired by solving the equations. Finally, with the help of phase unwrapping and smoothing, the wavefront can be reconstructed. The advantage of the algorithm is providing an analytical solution for the coefficients of the Walsh series to reconstruct the wavefront. The simulation experiments are presented and the effectiveness of the algorithm is demonstrated.

关键词: wavefront sensing, binary aberration modes, Walsh functions, single detector

Abstract: We propose a new algorithm for wavefront sensing based on binary intensity modulation. The algorithm is based on the fact that a wavefront can be expended with a series of orthogonal and binary functions, the Walsh series. We use a spatial light modulator (SLM) to produce different binary-intensity-modulation patterns which are the simple linear transformation of the Walsh series. The optical fields under different binary-intensity-modulation patterns are detected with a photodiode. The relationships between the incident wavefront modulated with the patterns and their optical fields are built to determinate the coefficients of the Walsh series. More detailed and strict relationship equations are established with the algorithm by adding new modulation patterns according to the properties of the Walsh functions. An exact value can be acquired by solving the equations. Finally, with the help of phase unwrapping and smoothing, the wavefront can be reconstructed. The advantage of the algorithm is providing an analytical solution for the coefficients of the Walsh series to reconstruct the wavefront. The simulation experiments are presented and the effectiveness of the algorithm is demonstrated.

Key words: wavefront sensing, binary aberration modes, Walsh functions, single detector

中图分类号:  (Wave optics)

  • 42.25.-p
42.15.Fr (Aberrations) 42.30.Kq (Fourier optics) 42.30.Wb (Image reconstruction; tomography)