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Theoretical analysis of adaptive optics system based on stochastic parallel gradient descent algorithm

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Abstract

The adaptive optics (AO) technology without a wave-front sensor is simple and has more application fields than conventional AO technologies. The theory basis of the AO system based on stochastic parallel gradient descent (SPGD) from the convergence, the stability, and the averaged convergence rate is analyzed, where SPGD is used to control the AO system. The results show that the AO system based on SPGD can obtain good convergence and stability, and the fast convergence rate, which is in inverse proportion to \( \sqrt n \) (n is the number of control parameters).

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References

  1. J. W. Hardy, Adaptive Optics for Astronomical Telescopes, Oxford University Press, New York, Oxford, 1998.

    Google Scholar 

  2. CAI Dong-mei, S. H. Eng, LING Ning and JIANG Wen-han, Journal of Optoelectronics Laser 19, 992 (2008). (in Chinese)

    ADS  Google Scholar 

  3. WANG Qing-ling, XIANG Dong, SUN Yan-jie, WANG Xicheng and CHENG Hai-yan, Journal of Optoelectronics Laser 19, 847 (2008). (in Chinese)

    Google Scholar 

  4. M. A. Vorontsov and G. W. Carhart, J. Opt. Soc. Am. A 17, 1440 (2000).

    Article  ADS  Google Scholar 

  5. J. A. Perreault and W. Wirth, Proc. SPIE 5903, 590307–1 (2005).

    Article  Google Scholar 

  6. M. Banta, Vorontsov M A and Vecchia M D, Proc. SPIE 4493, 191 (2002).

    Article  ADS  Google Scholar 

  7. P. Piatrou and M. Roggemann, Applied Optics 46, 6831 (2007).

    Article  ADS  Google Scholar 

  8. M. A. Vorontsov, J. Riker and G. Carhart, Applied Optics 48, A47 (2009).

    Article  ADS  Google Scholar 

  9. YANG Hui-zhen, LI Xin-yang, GONG Cheng-long and JIANG Wen-han, Optics Express 17, 3052 (2009).

    Article  ADS  Google Scholar 

  10. M. A. Vorontsov, W. C. Gary, V. P. Dimitri, C. R. Jennifer and G. V. David, Applied Optics 36, 3319 (1997).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Electronic Engineering, Huaihai Institute of Technology, Lianyungang, 222005, China

    Hui-zhen Yang  (杨慧珍) & Xin-yang Li  (李新阳)

Authors
  1. Hui-zhen Yang  (杨慧珍)
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  2. Xin-yang Li  (李新阳)
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Corresponding author

Correspondence to Hui-zhen Yang  (杨慧珍).

Additional information

This work has been supported by the National Natural Science Foundation of China (No. 60978050) and the Scientific Research Foundation for Introducing Talents at Huaihai Institute of Technology (No. KQ09035).

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Yang, Hz., Li, Xy. Theoretical analysis of adaptive optics system based on stochastic parallel gradient descent algorithm. Optoelectron. Lett. 6, 426–428 (2010). https://doi.org/10.1007/s11801-010-9235-z

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  • DOI: https://doi.org/10.1007/s11801-010-9235-z

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