• Chinese Optics Letters
  • Vol. 14, Issue 2, 020101 (2016)
Wenjin Liu1、2、*, Lizhi Dong1、2, Ping Yang1、2, and Bing Xu1、2
Author Affiliations
  • 1Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China
  • 2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China
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    DOI: 10.3788/COL201614.020101 Cite this Article Set citation alerts
    Wenjin Liu, Lizhi Dong, Ping Yang, Bing Xu. Zonal decoupling algorithm for dual deformable mirror adaptive optics system[J]. Chinese Optics Letters, 2016, 14(2): 020101 Copy Citation Text show less

    Abstract

    A zonal decoupling algorithm used to control a dual deformable mirror (DM) is proposed. One of the two DMs is characterized with a large stroke (woofer), while the other one is characterized by a high spatial frequency (tweeter). A numerical model is used to compare the zonal decoupling algorithm with some traditional zonal decoupling algorithms. The simulation results indicate that the algorithm presented in this Letter improves the performance in suppressing the coupling error. An experimental system is built to prove the effectiveness of this algorithm. The experiments demonstrate that the phase aberrations could be effectively compensated and that the coupling error could also be suppressed.
    vw=Rw+g.(1)

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    Vw(k+1)=pid_a×Vw(k)+pid_b×vw(k),(2)

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    gw=Rwvw=RwRw+g.(3)

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    vt=Rt+gt=Rt+(ggw)=Rt+(IRwRw+)g,(4)

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    Vt(k+1)=Ct(pid_a×Vt(k)+pid_b×vt(k)),(5)

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    RmVt=0,(6)

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    Rm(i,j)=Wi(x,y)Tj(x,y)Wi(x,y)Wi(x,y),(7)

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    Rm=Rw+Rt.(8)

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    Ct=[Ik×Rm]+,(9)

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    Vi(x,y)=exp[lnω((xxi)2+(yyi)2/d)α],(10)

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    r=|SwStds|SwSwdsStStds,(11)

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    Wenjin Liu, Lizhi Dong, Ping Yang, Bing Xu. Zonal decoupling algorithm for dual deformable mirror adaptive optics system[J]. Chinese Optics Letters, 2016, 14(2): 020101
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