• Laser & Optoelectronics Progress
  • Vol. 62, Issue 2, 0211003 (2025)
Hao Wang* and Lei Zhang
Author Affiliations
  • School of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun 130012, Jilin , China
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    DOI: 10.3788/LOP240678 Cite this Article Set citation alerts
    Hao Wang, Lei Zhang. R-C Telescope Alignment Method Based on Astigmatism Correction of Symmetrical Field of View Misalignment[J]. Laser & Optoelectronics Progress, 2025, 62(2): 0211003 Copy Citation Text show less

    Abstract

    This paper proposes a two-mirror telescope alignment method based on the on-axis field of view coma and off-axis symmetrical field of view astigmatism, utilizing vector aberration theory based on the aberration field characteristics of a misaligned Ritchey-Chrétien (R-C) telescope. A simulation alignment experiment is conducted on an R-C telescope, with random misalignments introduced into the secondary mirror. The alignment is successfully completed after three iterations using the proposed method, demonstrating its feasibility. An actual assembly experiment further validates the proposed method, achieving wave aberration values of 0.0730λ for the on-axis field of view and 0.0808λ and 0.0834λ for the two symmetrical off-axis fields of view, respectively. Experimental results indicate that the proposed method effectively aligns the R-C telescope, ensuring high imaging quality across all fields of view.
    W=jW131jH-σjρρρ+jW222jH-σjρ2
    WCOMA3=W131H-A131ρρρ
    WAST3=12W222H2-2HA222+B2222ρ2
    σPM(sph)=00
    σSMsph=-1uPM¯(d1+rSM)XDESM+BDESMrSMYDESM+ADESMrSM
    σPM(asph)=00
    σSMasph=-1d1uPM¯XDESMYDESM
    WCOMA3=-A131ρρρ
    Α131=W131,SMsphσSMsph+W131,SMasphσSMasph
    δv#=rSM-W131,SMsph / uPM¯(d1+rSM)W131,SMsph/ uPM¯(d1+rSM)+W131,SMasph/uPM¯d1β#
    -HxHy120-Hy-Hy012A222,xA222,yB222,x2B222,y2=C5-W2222(HxHx-HyHy)C6-W222HxHy
    A222,xA222,yB222,x2B222,y2= σSM,xsphσSM,xasph σSM,y(sph)σSM,y(asph)σSM,xsph×σSM,xsph-σSM,ysph×σSM,ysphσSM,xasph×σSM,xasph-σSM,yasph×σSM,yasph 2σSM,x(sph)×σSM,y(sph)   2σSM,x(asph)×σSM,y(sph)W222,SMsphW222,SMasph
    C5x=C5x'C5y=C5y'
    HxA222,x=0HyA222,y=0
    δv#=rSM-W222,SMsph/uPM¯(d1+rSM)W222,SMsph/uPM¯(d1+rSM)+W222,SMasph/uPM¯d1β#
    Δδv#=rSMΔβ#
    δv#-Δδv#=rSM-W222,SMsph/uPM¯(d1+rSM)W222,SMsph/uPM¯(d1+rSM)+W222,SMasph/uPM¯d1β#-Δβ#