• Chinese Optics Letters
  • Vol. 13, Issue 4, 041101 (2015)
Bing Dong* and Ji Yu
Author Affiliations
  • School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China
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    DOI: 10.3788/COL201513.041101 Cite this Article Set citation alerts
    Bing Dong, Ji Yu. Hybrid approach used for extended image-based wavefront sensor-less adaptive optics[J]. Chinese Optics Letters, 2015, 13(4): 041101 Copy Citation Text show less

    Abstract

    The stochastic parallel gradient descent (SPGD) algorithm is widely used in wavefront sensor-less adaptive optics (WSAO) systems. However, the convergence is relatively slow. Modal-based algorithms usually provide much faster convergence than SPGD; however, the limited actuator stroke of the deformable mirror (DM) often prohibits the sensing of higher-order modes or renders a closed-loop correction inapplicable. Based on a comparative analysis of SPGD and the DM-modal-based algorithm, a hybrid approach involving both algorithms is proposed for extended image-based WSAO, and is demonstrated in this experiment. The hybrid approach can achieve similar correction results to pure SPGD, but with a dramatically decreased iteration number.
    uk=uk1+γδukδJk,(1)

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    J=I2(x,y)(I(x,y))2,(2)

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    g(M1,M2)=02πM1M2SJ(m)mdmdξ,(3)

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    gq0q11πp|Φ|2ds,(4)

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    Φ=i=4NaiZi,(5)

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    pZi·Zjds={1i=j0ij.(6)

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    g=q0q1i=4Nai2.(7)

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    ai,corr=ai=bi(g+g)2g+4g0+2g.(8)

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    ω=(U)SVT.(9)

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    U=ω(SVT)1.(10)

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    Bing Dong, Ji Yu. Hybrid approach used for extended image-based wavefront sensor-less adaptive optics[J]. Chinese Optics Letters, 2015, 13(4): 041101
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