Author Affiliations
1Optical Technology with Large Aperture Research Department, National Astronomical Observatories/Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;2Key Laboratory of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;3University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. O-XYZ global coordinate system and o1-xyz local coordinate system of off-axis aspherical mirror
Fig. 2. TDDSA surface detection system
Fig. 3. Significance and relation of different defocus coefficients
Fig. 4. Prestressed loading mechanism
Fig. 5. Zernike polynomial coefficient distribution curves of difference between mirror deformation and theoretical surface shape after multiple loading correction
Fig. 6. Process scene of stressing lapping
Fig. 7. Convergence curves of stressing processing. (a) Stressing lapping experiment; (b) Ref. [8]
Fig. 8. Mirror surface roughness measurement site
Fig. 9. Relative deformation between meniscus and reference spherical mirror with 9 points Whiffletree support
Fig. 10. Measuring of surface shape after stressing lapping using CMM
Fig. 11. Final detection results of CMM and contact TDDSA. (a) Average surface shape obtained by multiple measurements using CMM; (b) average surface profile obtained by multiple measurements of contact TDDSA; (c) residual distribution between average surface profile and theoretical off-axis aspheric surface profile obtained by multiple measurements using CMM; (d) residual distribution between average surface profile and theoretical off-axis aspheric surface profile obtained by multiple measurements of contact TDDSA
Parameter | Value |
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Conic constant | -1 | Off-axis distance /m | 3 | Diameter /m | 0.380 | Maximum detectable radius /m | 0.179 | Thickness /m | 0.015 | ROC of reference mirror /m | 15.3856 | ROC of vertex /m | 15.0000 | ROC of comparative sphere /m | 15.4248 | Modulus of elasticity /GPa | 90.3 | Poisson ratio | 0.243 | Density /(kg·m-3) | 2580 |
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Table 1. Geometrical and material parameters of prestressed grinding experiments
Coefficient | Average value ofCMM test /μm | Average value ofTDDSA test /μm |
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c20 | -6.5760 | -6.3500 | c22 | -20.4200 | -20.7460 | c2-2 | -0.6720 | 0.1510 | c31 | -0.5310 | -0.6940 | c3-1 | -0.0895 | -0.3540 | c40 | -0.8910 | -0.4420 | c33 | 0.0985 | 0.2400 | c3-3 | -0.0975 | -0.4330 | c42 | -0.0876 | -0.1210 | c4-2 | 0.0115 | -0.1910 | c51 | 0.0070 | -0.0615 | c5-1 | -0.0491 | 0.1160 | c60 | -0.2850 | -0.4750 |
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Table 2. Detection results of CMM and contact type TDDSA