Modeling and Digital Correction of Optical Axis Pointing Error for Discrete Optical System

Fig. 2. Error models of rear group optical path and 2D scanning reflector. (a) Error model of rear group optical path; (b) error model of 2D scanning reflector

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Fig. 3. Schematic diagram of the local hour angle of the star relative to the tester

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Fig. 4. Establishment process of the star datum and the signal flow

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Fig. 5. Flow chart of digital calibration of star measuring method

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Fig. 6. Process of star searching and tracking

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Fig. 7. Error curves of optical axis pointing before and after correction

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Fig. 8. Comparison of pointing accuracy before and after correction. (a) Before correction; (b) after correction

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Fig. 9. Pointing accuracy verification in target guidance mode after error correction

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Fig. 10. Missing distance curves of the target in target guidance mode after error correction

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Table 1. Error parameters of the discrete optical system

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Table 1. Error parameters of the discrete optical system

No.	Symbol	Name of error
1	$e_{1}$	Comprehensive error component of rear group optical path（around $y_{b}$ axis）
2	$e_{2}$	Comprehensive error component of rear group optical path（around $x_{b}$ axis）
3	$e_{3}$	Perpendicularity error of the mirror normal of the 2D scanning reflector
4	$e_{4}$	Zero error of the elevation axis of the 2D scanning reflector
5	$e_{5}$	Perpendicularity error of the elevation axis of the 2D scanning reflector
6	$e_{6}$	Euler rotation error from board system to IMU system（around $y_{b}$ axis）
7	$e_{7}$	Euler rotation error from board system to IMU system（around $x_{b}$ axis）
8	$e_{8}$	Euler rotation error from board system to IMU system（around $z_{b}$ axis）
9	$e_{9}$	Shift error of the IMU in roll direction
10	$e_{10}$	Shift error of the IMU in pitch direction
11	$e_{11}$	Shift error of the IMU in yaw direction

Table 2. Error parameters results by digital calibration
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Table 2. Error parameters results by digital calibration
No. Symbol Value /（°） No. Symbol Value /（°）
F （fitting accuracy） 11.61″
1 $e_{1}$ 0.0892 7 $e_{7}$ 0.0459
2 $e_{2}$ 0.0355 8 $e_{8}$ -0.0291
3 $e_{3}$ -0.0341 9 $e_{9}$ -0.0177
4 $e_{4}$ -0.0023 10 $e_{10}$ -0.0022
5 $e_{5}$ 0.0458 11 $e_{11}$ 0.0104
6 $e_{6}$ 0.0941

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Hongda Zhao, Shunhe Li, Tao Jiang, Fang Fang. Modeling and Digital Correction of Optical Axis Pointing Error for Discrete Optical System[J]. Acta Optica Sinica, 2023, 43(18): 1812004

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