• Chinese Journal of Lasers
  • Vol. 45, Issue 9, 905003 (2018)
Cheng Tao1、2、3, Liu Wenjin1、3, Yang Kangjian1、2、3, Wen Lianghua1、2、3, He Xing1、3, Dong Lizhi1、3, Yang Ping1、3, and Xu Bing1、3
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • 3[in Chinese]
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    DOI: 10.3788/CJL201845.0905003 Cite this Article Set citation alerts
    Cheng Tao, Liu Wenjin, Yang Kangjian, Wen Lianghua, He Xing, Dong Lizhi, Yang Ping, Xu Bing. Decoupling Control Algorithm Based on Laplacian Eigenfunction for Woofer-Tweeter Adaptive Optics System[J]. Chinese Journal of Lasers, 2018, 45(9): 905003 Copy Citation Text show less
    Woofer-Tweeter double deformation adaptive optical experiment system
    Fig. 1. Woofer-Tweeter double deformation adaptive optical experiment system
    Locations configuration of deformable mirror actuator and S-H sub-aperture
    Fig. 2. Locations configuration of deformable mirror actuator and S-H sub-aperture
    First 50 order of Laplacian eigenfunctions in circle area
    Fig. 3. First 50 order of Laplacian eigenfunctions in circle area
    Orthogonality of function. (a) Orthogonality of Laplacian eigenfunction; (b) orthogonality of the first derivative term of Laplacian eigenfunction
    Fig. 4. Orthogonality of function. (a) Orthogonality of Laplacian eigenfunction; (b) orthogonality of the first derivative term of Laplacian eigenfunction
    Correction results of single deformable mirror. (a) φPV=2.27λ, φRMS=0.43λ;(b) φPV=2.27λ, φRMS=0.43λ; (c) φPV=2.05λ, φRMS=0.38λ; (d) φPV=2.07λ, φRMS=0.39λ;(e) φPV=0.31λ, φRMS=0.056λ; (f) φPV=0.31λ, φRMS=0.058λ
    Fig. 5. Correction results of single deformable mirror. (a) φPV=2.27λ, φRMS=0.43λ;(b) φPV=2.27λ, φRMS=0.43λ; (c) φPV=2.05λ, φRMS=0.38λ; (d) φPV=2.07λ, φRMS=0.39λ;(e) φPV=0.31λ, φRMS=0.056λ; (f) φPV=0.31λ, φRMS=0.058λ
    Correction results of decoupling algorithm based on Laplacian eigenfunction in two schemes to aberration.(a) φPV=0.43λ, φRMS=0.16λ; (b) φPV=1.20λ, φRMS=0.35λ; (c) φPV=0.15λ, φRMS=0.040λ;(d) φPV=0.55λ, φRMS=0.19λ; (e) φPV=1.03λ, φRMS=0.33λ; (f) φPV=0.14λ, φRMS=0.039λ
    Fig. 6. Correction results of decoupling algorithm based on Laplacian eigenfunction in two schemes to aberration.(a) φPV=0.43λ, φRMS=0.16λ; (b) φPV=1.20λ, φRMS=0.35λ; (c) φPV=0.15λ, φRMS=0.040λ;(d) φPV=0.55λ, φRMS=0.19λ; (e) φPV=1.03λ, φRMS=0.33λ; (f) φPV=0.14λ, φRMS=0.039λ
    Correction process of single deformable mirror and Woofer-Tweeter composite deformable mirror
    Fig. 7. Correction process of single deformable mirror and Woofer-Tweeter composite deformable mirror
    Woofer and Tweeter correction under the schemeⅠ. (a) Constraint matrix based on Laplacian eigenfunction; (b) constraint matrix based on the first derivative term of Laplacian eigenfunction
    Fig. 8. Woofer and Tweeter correction under the schemeⅠ. (a) Constraint matrix based on Laplacian eigenfunction; (b) constraint matrix based on the first derivative term of Laplacian eigenfunction
    Woofer and Tweeter correction under the scheme Ⅱ. (a) Constraint matrix based on Laplacian eigenfunction; (b) constraint matrix based on the first derivative term of Laplacian eigenfunction
    Fig. 9. Woofer and Tweeter correction under the scheme Ⅱ. (a) Constraint matrix based on Laplacian eigenfunction; (b) constraint matrix based on the first derivative term of Laplacian eigenfunction
    Coupling coefficient between Woofer and Tweeter. (a) SchemeⅠ; (b) schemeⅡ
    Fig. 10. Coupling coefficient between Woofer and Tweeter. (a) SchemeⅠ; (b) schemeⅡ
    Cheng Tao, Liu Wenjin, Yang Kangjian, Wen Lianghua, He Xing, Dong Lizhi, Yang Ping, Xu Bing. Decoupling Control Algorithm Based on Laplacian Eigenfunction for Woofer-Tweeter Adaptive Optics System[J]. Chinese Journal of Lasers, 2018, 45(9): 905003
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