Method for Calibration of Optical Axis Parallelism Based on Interference Fringes

Danhui Xu; Xiahui Tang; Guoming Fang; Dongjing Wu; Hairong Zhou

doi:10.3788/AOS202040.1712005

Journals >Acta Optica Sinica >Volume 40 >Issue 17 >Page 1712005 > Article

Acta Optica Sinica
Vol. 40, Issue 17, 1712005 (2020)

Method for Calibration of Optical Axis Parallelism Based on Interference Fringes

Danhui Xu^1、2, Xiahui Tang^1、*, Guoming Fang², Dongjing Wu², and Hairong Zhou²

Author Affiliations

¹School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

²InfiRay Technology Co., Ltd., Chengdu, Sichuan 610213, China

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DOI: 10.3788/AOS202040.1712005 Cite this Article Set citation alerts

Danhui Xu, Xiahui Tang, Guoming Fang, Dongjing Wu, Hairong Zhou. Method for Calibration of Optical Axis Parallelism Based on Interference Fringes[J]. Acta Optica Sinica, 2020, 40(17): 1712005 Copy Citation Text

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Fig. 1. Schematic of calibration system

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Fig. 2. Schematic for determining parallelism ofoptical axis

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Fig. 3. Coordinate system of receiving optical system

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Fig. 4. MATLAB simulation interference patterns with different angle deviations. (a) 0 mrad; (b) 0.5 mrad; (c) 1.5 mrad

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Fig. 5. Light intensity distribution curves with different angle deviations. (a) 0 mrad; (b) 0.5 mrad; (c) 1.5 mrad

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Fig. 6. Flow chart of interference fringe image processing

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Fig. 7. Calibration of center coordinates. (a) No.4; (b) No.5; (c) No.7; (d) No.11; (e) No.12

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N	${l_{or}}_{}$ /mm	Δ ${θ_{R}}_{}$ /mrad	( ${O_{xy}}_{}$ /3.45) /μm	Δ ${θ_{1}}_{}$ /mrad	${u_{1}}_{}$ /(″)
10	12.00	0	(1019.9,763.8)	0	0

Table 1. Measurement data of coaxial between optical axis of receiving optical system and reference optical axis

No.	${l_{or}}_{}$ /mm	Δl /mm	Δ ${θ_{R}}_{}$ /mrad	(O_xy/3.45) /μm	Δs /mm	Δ ${θ_{1}}_{}$ /mrad	${u_{1}}_{}$ /(″)
1	12.350	0.350	3.500000	(1018.6,703.6)	0.207738	3.462307	7.78
2	12.300	0.300	3.000000	(1019.4,711.4)	0.180783	3.013049	2.69
3	12.250	0.250	2.500000	(1019.4,720.0)	0.151120	2.518664	3.85
4	12.200	0.200	2.000000	(1020.0,728.8)	0.120751	2.012508	2.58
5	12.150	0.150	1.500000	(1019.7,736.8)	0.093153	1.552543	10.84
6	12.100	0.100	1.000000	(1019.4,746.7)	0.059020	0.983670	3.37
7	12.050	0.050	0.500000	(1020.5,755.0)	0.030431	0.507175	1.48
8	11.950	-0.050	0.500000	(1021.1,772.7)	0.056597	0.516381	3.38
9	11.900	-0.100	1.000000	(1020.3,780.2)	0.053148	0.943280	11.70
10	11.850	-0.150	1.500000	(1021.8,789.6)	0.089251	1.487517	2.57
11	11.800	-0.200	2.000000	(1022.3,798.0)	0.118280	1.971336	5.91
12	11.750	-0.250	2.500000	(1021.7,807.3)	0.150203	2.503391	0.70
13	11.700	-0.300	3.000000	(1022.9,815.6)	0.179009	2.983491	3.41
14	11.650	-0.350	3.500000	(1022.3,824.8)	0.210613	3.510214	2.11

Table 2. Measurement data of angle between optical axis of receiving optical system and reference optical axis

Laser rangefinder	N	D /m	${u_{D}}_{}$ /m
1	219	3271.88	0.48
2	222	3270.98	0.43

Table 3. Measurement results of laser rangefinder

Danhui Xu, Xiahui Tang, Guoming Fang, Dongjing Wu, Hairong Zhou. Method for Calibration of Optical Axis Parallelism Based on Interference Fringes[J]. Acta Optica Sinica, 2020, 40(17): 1712005

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