Author Affiliations
1Nanjing Institute of Astronomical Optics & Technology, National Astronomical Observatories, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;2Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;3University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. Edge error detection structure of segmented-mirror based on equal thickness interference
Fig. 2. Segmented-mirror measurement based on equal thickness interference principle
Fig. 3. Light intensity distribution of two sub-mirrors without segment error
Fig. 4. Light intensity distribution when the two sub-mirrors have relative errors. (a) x-axis tip error; (b) y-axis tilt error; (c) piston error
Fig. 5. Gray value liner fitting on the center line of Newton ring. (a) Newton ring corresponding to the left sub-mirror; (b) Newton ring corresponding to the right sub-mirror with 35 nm piston error
Fig. 6. Change of radius of Newton ring with piston error
Fig. 7. Changes in the position of the optical flat and the equivalent aperture after the piston error of the two mirrors. (a) No error between the two sub-mirrors; (b) a piston error between the two sub-mirrors
Fig. 8. Hough test results when there is a tilt error between the two sub-mirrors. (a) 2-1 Hough test result; (b) improved Hough concentric circle test result
Fig. 9. Interference image of equal thickness when the installation translation error of optical flat is 3 mm
Fig. 10. Interference fringe images of equal thickness when there is an overall tilt error. (a) Existing a tilt error of 10″ along the x-axis; (b) existing a tilt error of 10″ along the y-axis
Parameter | Curvature radiusR /mm | Sampling rateN /pixel | Index ofrefraction n | Incident wavelengthΛ /mm | Optical flatradius r0 /mm |
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Value | 40000 | 1024 | 1 | 0.5×10-3 | 15 |
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Table 1. Parameters for the edge detection system composed of two segmented-mirrors
Error | σTip=0.02″ | σTilt=0.02″ |
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Center change along x /pixel | 0.0012 | 0.2835 | Center change along y /pixel | 0.2444 | 0 |
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Table 2. Change in the center of the circle when the tilt error is 0.02″
Pointing error | 0″ | 35″ |
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Center change along x /pixel | 0.15 | 0.15 | Center change along y /pixel | 13.14 | 13.16 | Change in radius /pixel | 0 | 0 |
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Table 3. Change of the fringe parameters with or without pointing error (σTip=0.02″)
Type | Accuracy | Stability | Range | Temperature/Time drift | Algorithm | Barrier | Stray light | Cost |
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Electrical sensor | High | Good | Small | Yes | Simple | No | No | High | Designed sensor | High | Better | Wide | No | Complex | Yes | Yes | Low |
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Table 4. Comparison of the designed sensor and electrical sensor