• Acta Optica Sinica
  • Vol. 39, Issue 11, 1111004 (2019)
Yongfeng Zhang1、2、3 and Hao Xian1、2、*
Author Affiliations
  • 1Key Laboratory of Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/AOS201939.1111004 Cite this Article Set citation alerts
    Yongfeng Zhang, Hao Xian. Statistical Properties of Wavefront and Image Field of Misaligned Segmented Optical Systems[J]. Acta Optica Sinica, 2019, 39(11): 1111004 Copy Citation Text show less
    Typical structure of segmented mirror
    Fig. 1. Typical structure of segmented mirror
    Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of Φˉpiston. (a) For different ring number of segmented mirror, when σpiston</
    Fig. 2. Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of Φˉpiston. (a) For different ring number of segmented mirror, when σpiston
    Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of σΦpiston2. (a) For differen
    Fig. 3. Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of σΦpiston2. (a) For differen
    Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of σΦt2. (a) For different rin
    Fig. 4. Comparison between frequency density function (shown as scattered points) and theoretical PDF (shown as solid line) of σΦt2. (a) For different rin
    Quantities listed in Table 1 as functions of segmented mirror number N and standard deviation σpiston (or σt). (a) Standard deviation of Φˉpiston</mml:mro
    Fig. 5. Quantities listed in Table 1 as functions of segmented mirror number N and standard deviation σpiston (or σt). (a) Standard deviation of Φˉpiston
    Strehl ratio of piston error as a function of standard deviation σpiston and segmented mirror number N. (a) N=331; (b) σpiston=0.1 μm
    Fig. 6. Strehl ratio of piston error as a function of standard deviation σpiston and segmented mirror number N. (a) N=331; (b) σpiston=0.1 μm
    Strehl ratio of tip/tilt error as a function of standard deviation σt
    Fig. 7. Strehl ratio of tip/tilt error as a function of standard deviation σt
    Random variablePDFAverageStandard deviation
    Φ¯pistonN0,4σpiston2N02Nσpiston2
    σΦpiston2ΓN-12,8σpiston2N4(N-1)Nσpiston242(N-1)Nσpiston2
    σΦt2ΓN,53Ns2σt253s2σt253Ns2σt2
    Table 1. PDF, average value, and standard deviation for random variables Φˉ
    Yongfeng Zhang, Hao Xian. Statistical Properties of Wavefront and Image Field of Misaligned Segmented Optical Systems[J]. Acta Optica Sinica, 2019, 39(11): 1111004
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