• Infrared and Laser Engineering
  • Vol. 50, Issue 12, 20210196 (2021)
Chao Zhang1、2, Hui Xing2, Junru Song2, Junhua Yan1, Kai Zhang2, Chongyang Li2, Zhiyuan Liu2, and Zhongrui Jin2
Author Affiliations
  • 1Academy of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • 2Key Laboratory for Advanced Optical Remote Sensing Technology of Beijing, Beijing Institute of Space Mechanics & Electricity, Beijing 100094, China
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    DOI: 10.3788/IRLA20210196 Cite this Article
    Chao Zhang, Hui Xing, Junru Song, Junhua Yan, Kai Zhang, Chongyang Li, Zhiyuan Liu, Zhongrui Jin. Measurement of optical axis eccentricity of a large-aperture concave ellipsoid mirror[J]. Infrared and Laser Engineering, 2021, 50(12): 20210196 Copy Citation Text show less
    Eccentricity of the ellipsoid
    Fig. 1. Eccentricity of the ellipsoid
    Establishing the measuring coordinate system ∑0
    Fig. 2. Establishing the measuring coordinate system ∑0
    Primary mirror under test
    Fig. 3. Primary mirror under test
    Optical model of test
    Fig. 4. Optical model of test
    Relationship between misalignment variables and aberrations of the primary mirror
    Fig. 5. Relationship between misalignment variables and aberrations of the primary mirror
    Relationship between misalignment variables and aberrations of the flat crystal
    Fig. 6. Relationship between misalignment variables and aberrations of the flat crystal
    Light path of the test
    Fig. 7. Light path of the test
    Test of the line eccentricity
    Fig. 8. Test of the line eccentricity
    Term #Polynominal expressionMeaningBrief exp.
    5${\rho ^2}\cos 2\theta $Astigmatism 0° or 90°Z5
    6${\rho ^2}\sin 2\theta $Astigmatism ±45°Z6
    7$(3{\rho ^2} - 2)\rho \cos \theta $X coma and tilt Z7
    8$(3{\rho ^2} - 2)\rho \sin \theta $Y coma and tilt Z8
    9$6{\rho ^4} - 6{\rho ^2} + 1$Spherical and focusZ9
    Table 1. Zernike polynominal expressions of circular domain
    Optical elementVertex radius of curvature/mmKMirror spacing or thickness/mmEffective light aperture/mmMaterials
    Primary mirror−3042.54−0.9727−1430.001070.00ULE
    Optical flat−28.0066.45K9
    −78.7853.38
    Table 2. Design results of the optical system
    Zernike coefficient (λ) RMS(λ) Interferogram
    Z5Z6Z7Z8Z9
    Before spherical aberration compensation00005.32.4
    After the spherical aberration is compensated000000
    Table 3. Aberration of the system(λ=632.8 nm)
    Z5Z6Z7Z8Z9
    ${T_{\alpha 1}}$0001490
    ${T_{\alpha 2}}$00020
    Table 4. Sensitivity matrix
    Zernike coefficient(λ) RMS(λ)
    Z5Z6Z7Z8Z90.048
    −0.020.00−0.020.030.04
    Fringe patternInterference pattern
    Table 5. System aberration (λ=632.8 nm)
    Normal of a plane mirror Normal of primary mirror back
    Space angle/(°)(0, 90.00321)(0.00125, 90.01324)
    Table 6. Test result of the angle
    Chao Zhang, Hui Xing, Junru Song, Junhua Yan, Kai Zhang, Chongyang Li, Zhiyuan Liu, Zhongrui Jin. Measurement of optical axis eccentricity of a large-aperture concave ellipsoid mirror[J]. Infrared and Laser Engineering, 2021, 50(12): 20210196
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