Infrared and Laser Engineering, Volume. 50, Issue 12, 20210196(2021)
Measurement of optical axis eccentricity of a large-aperture concave ellipsoid mirror
Figures & Tables(14)
Fig. 5. Relationship between misalignment variables and aberrations of the primary mirror
Fig. 6. Relationship between misalignment variables and aberrations of the flat crystal
Table 1. Zernike polynominal expressions of circular domain
View tableView in ArticleTable 1. Zernike polynominal expressions of circular domain
Term # Polynominal expression Meaning Brief 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 focus Z9
Table 2. Design results of the optical system
View tableView in ArticleTable 2. Design results of the optical system
Optical element Vertex radius of curvature/mm K Mirror spacing or thickness/mm Effective light aperture/mm Materials Primary mirror −3042.54 −0.9727 −1430.00 1070.00 ULE Optical flat ∞ − −28.00 66.45 K9 ∞ − −78.78 53.38
Table 3. Aberration of the system（
λ =632.8 nm）View tableView in ArticleTable 3. Aberration of the system（
λ =632.8 nm）Zernike coefficient (λ) RMS(λ) Interferogram Z5 Z6 Z7 Z8 Z9 Before spherical aberration compensation 0 0 0 0 5.3 2.4 After the spherical aberration is compensated 0 0 0 0 0 0
Table 4. Sensitivity matrix
View tableView in ArticleTable 4. Sensitivity matrix
Z5 Z6 Z7 Z8 Z9 ${T_{\alpha 1}}$ 0 0 0 149 0 ${T_{\alpha 2}}$ 0 0 0 2 0
Table 5. System aberration (
λ =632.8 nm)View tableView in ArticleTable 5. System aberration (
λ =632.8 nm)Zernike coefficient(λ) RMS(λ) Z5 Z6 Z7 Z8 Z9 0.048 −0.02 0.00 −0.02 0.03 0.04 Fringe pattern Interference pattern
Table 6. Test result of the angle
View tableView in ArticleTable 6. Test result of the angle
Normal of a plane mirror Normal of primary mirror back Space angle/(°) （0, 90.00321） （0.00125, 90.01324）
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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
Paper Information
Category: Photoelectric measurement
Received: Mar. 26, 2021
Accepted: --
Published Online: Feb. 9, 2022
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