• Chinese Optics Letters
  • Vol. 15, Issue 11, 111202 (2017)
Qichang An1、2、*, Jingxu Zhang1, Fei Yang1, and Hongchao Zhao1
Author Affiliations
  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
  • 2Graduate University of Chinese Academy of Sciences, Beijing 100039, China
  • show less
    DOI: 10.3788/COL201715.111202 Cite this Article Set citation alerts
    Qichang An, Jingxu Zhang, Fei Yang, Hongchao Zhao. Normalized point source sensitivity analysis in GSSM prototype[J]. Chinese Optics Letters, 2017, 15(11): 111202 Copy Citation Text show less

    Abstract

    The Giant Steerable Science Mirror (GSSM) is the tertiary mirror of the Thirty Meter Telescope (TMT). To evaluate the performance of GSSM, normalized point source sensitivity (PSSn) is investigated. Calibration and metrology allow the estimation of telescope performance at different zenith angles. PSSn also realizes the prediction of the TMT main mirror assembly optical performance. The relationship between PSSn and slope root mean square (RMS) is analyzed theoretically when evaluating the performance of GSSM. First and foremost, the pointing performance of the GSSM prototype (GSSMP) is specified by PSSn and calibrated by a laser tracker. Then, the tracking performance influence on PSSn is taken into consideration. The jitter of the GSSMP also contributes to the degradation of PSSn, and it is also discussed. Lastly, the interaction between GSSM and the main mirror unit is also revealed by PSSn.
    PSSn=|OTFatm(f)OTFtel(f)|2df|OTFatm(f)|2df.(1)

    View in Article

    SlopeRMS2=|·Φ|2,(2)

    View in Article

    Φ(m,n)=AuvWuv(m,n),(3)

    View in Article

    PSD(fx)=|Aisin(2πfxx)|2xΔfx=AiΔfx2,(4)

    View in Article

    SlopeRMS2=|·Φ|2x=2π20PSD(fx)fx2dfx.(5)

    View in Article

    1PSSn=0β(fx)PSD(fx)(2πλ)2dfx,(6)

    View in Article

    [xbybzb1]=[cosθsinθ00sinθcosθ0000100001][xiyizi1].(7)

    View in Article

    1PSSn=01r0μr02fx2PSD(fx)(2πλ)2dfx+1r02PSD(fx)(2πλ)2dfx2μMλ2j=1Ni=1MPj×r0j2SlopeRMSi,j2,(8)

    View in Article

    SlopeRMS(ζ)SlopeRMS@ζ=0°(1sinζ2),(9)

    View in Article

    θ=0.95λr0,Datm(r)=(λ2π)26.88(rr0)5/3=(λ2π)26.88(θr0.95λ)5/3,(10)

    View in Article

    SlopeRMS2=|·Φ|2=2πfx2Ai2.(11)

    View in Article

    D(r)=2σϕ2{1exp[(for)2]},(12)

    View in Article

    SlopeRMS=2πλKreln[1(K22π)26.88(θre0.95λ)5/3].(13)

    View in Article

    OTF(f)=B0(D2πf).(14)

    View in Article

    OTF(f)=i=0NPSDB0(2ΔωiPSDave,i2πf),(15)

    View in Article

    Qichang An, Jingxu Zhang, Fei Yang, Hongchao Zhao. Normalized point source sensitivity analysis in GSSM prototype[J]. Chinese Optics Letters, 2017, 15(11): 111202
    Download Citation