Misalignment Calculation of Large Aperture Telescope Based on Eigen Coefficient

Qiongxin Liang; Jinlong Huang; Kunpeng Wang; Li Xue

doi:10.3788/AOS202141.1922001

Acta Optica Sinica, Volume. 41, Issue 19, 1922001(2021)

Misalignment Calculation of Large Aperture Telescope Based on Eigen Coefficient

Qiongxin Liang^1,2, Jinlong Huang^1、*, Kunpeng Wang³, and Li Xue³

Author Affiliations

¹Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China

²University of Chinese Academy of Sciences, Beijing 100049, China

³Beijing Institute of Tracking and Telecommunication Technology, Beijing 100094, China

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Abstract Get PDF(in Chinese)

Figures & Tables(17)

Fig. 1. Principle of wavefront curvature sensor

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Fig. 2. Optical system of telescope with primary mirror diameter of 1.8 m

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$Diffraction encircled energy and MTF of telescope under designed state. (a) Diffraction encircled energy; (b) MTF$

Fig. 3. Diffraction encircled energy and MTF of telescope under designed state. (a) Diffraction encircled energy; (b) MTF

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Fig. 4. Focal plane image under reference state

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Fig. 5. Images of defocused surfaces under reference state. (a) Front defocused surface; (b) back defocused surface

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Fig. 6. Target spot images in defocused surfaces under reference state. (a) Front defocused surface; (b) back defocused surface

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Fig. 7. Relationship between eigen coefficient and each degree of freedom. (a) D_x; (b) D_y; (c) T_x; (d) T_y

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$Diffraction encircled energy and MTF of telescope when Dy=0.09 mm. (a) Diffraction encircled energy; (b) MTF$

Fig. 8. Diffraction encircled energy and MTF of telescope when D_y=0.09 mm. (a) Diffraction encircled energy; (b) MTF

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$Diffraction encircled energy and MTF of telescope when Ty=0.02°. (a) Diffraction encircled energy; (b) MTF$

Fig. 9. Diffraction encircled energy and MTF of telescope when T_y=0.02°. (a) Diffraction encircled energy; (b) MTF

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Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m
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Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m
Optical element Radius of curvature /mm Aspherical coefficient Optical aperture /mm
L₁ 5400.000 -1.0000 1760
L₂ 714.313 -1.0714 231
L₃ 309

Table 2. Selection of eigen coefficients of annular pupil
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Table 2. Selection of eigen coefficients of annular pupil
Parameter n=1,m=1 n=1,m=-1 n=2,m=1 n=2,m=-1
α_k α₁ α₂ α₆ α₇

Table 3. Comparisons of calculated values and measured values of D_x
View table
Table 3. Comparisons of calculated values and measured values of D_x
Calculated value /mm Measured value /mm Residual value /mm
-0.8835 -0.9 0.0165
-0.6045 -0.6 -0.0045
-0.2843 -0.3 0.0157
0.2898 0.3 -0.0102
0.5975 0.6 -0.0025
0.9237 0.9 0.0237

Table 4. Comparisons of calculated values and measured values of D_y
View table
Table 4. Comparisons of calculated values and measured values of D_y
Calculated value /mm Measured value /mm Residual value /mm
-0.9230 -0.9 -0.0230
-0.6444 -0.6 -0.0444
-0.2792 -0.3 0.0208
0.2726 0.3 -0.0274
0.6333 0.6 0.0333
0.8412 0.9 -0.0588

Table 5. Comparisons of calculated values and measured values of T_x
View table
Table 5. Comparisons of calculated values and measured values of T_x
Calculated value /(°) Measured value /(°) Residual value /(°)
-0.1946 -0.20 0.0054
-0.1447 -0.15 0.0053
-0.0969 -0.10 0.0031
-0.0465 -0.05 0.0035
0.0498 0.05 -0.0002
0.1083 0.10 0.0083
0.1630 0.15 0.0130
0.1979 0.20 -0.0021

Table 6. Comparisons of calculated values and measured values of T_y

View table

Table 6. Comparisons of calculated values and measured values of T_y

Calculated value /(°)	Measured value /(°)	Residual value /(°)
-0.1996	-0.20	0.0004
-0.1595	-0.15	-0.0095
-0.1024	-0.10	-0.0024
-0.0456	-0.05	0.0044
0.0497	0.05	-0.0003
0.1022	0.10	0.0022
0.1423	0.15	-0.0077
0.1979	0.20	-0.0021

Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance
View table
Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance
Horizontal eccentricdistance Calculated value /mm Measured value /mm Residual value /mm
D_x 0.9015 0.9 0.0015
D_y 0.9147 0.9 0.0147

Table 8. Comparisons of calculated values and measured values of horizontal tilt angle
View table
Table 8. Comparisons of calculated values and measured values of horizontal tilt angle
Horizontal tilt angle Calculated value/(°) Measured value /(°) Residual value /(°)
T_x 0.1996 0.2 -0.0004
T_y 0.2081 0.2 0.0081

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Qiongxin Liang, Jinlong Huang, Kunpeng Wang, Li Xue. Misalignment Calculation of Large Aperture Telescope Based on Eigen Coefficient[J]. Acta Optica Sinica, 2021, 41(19): 1922001

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Paper Information

Category: Optical Design and Fabrication

Received: Mar. 26, 2021

Accepted: Apr. 29, 2021

Published Online: Oct. 29, 2021

The Author Email: Huang Jinlong (huangjl@ioe.ac.cn)

DOI:10.3788/AOS202141.1922001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m

Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m

Table 2. Selection of eigen coefficients of annular pupil

Table 2. Selection of eigen coefficients of annular pupil

Table 3. Comparisons of calculated values and measured values of D_x

Table 3. Comparisons of calculated values and measured values of D_x

Table 4. Comparisons of calculated values and measured values of D_y

Table 4. Comparisons of calculated values and measured values of D_y

Table 5. Comparisons of calculated values and measured values of T_x

Table 5. Comparisons of calculated values and measured values of T_x

Table 6. Comparisons of calculated values and measured values of T_y

Table 6. Comparisons of calculated values and measured values of T_y

Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance

Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance

Table 8. Comparisons of calculated values and measured values of horizontal tilt angle

Table 8. Comparisons of calculated values and measured values of horizontal tilt angle

Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m

Table 1. Main parameters of optical system of telescope with primary mirror diameter of 1.8 m

Table 2. Selection of eigen coefficients of annular pupil

Table 2. Selection of eigen coefficients of annular pupil

Table 3. Comparisons of calculated values and measured values of Dx

Table 3. Comparisons of calculated values and measured values of Dx

Table 4. Comparisons of calculated values and measured values of Dy

Table 4. Comparisons of calculated values and measured values of Dy

Table 5. Comparisons of calculated values and measured values of Tx

Table 5. Comparisons of calculated values and measured values of Tx

Table 6. Comparisons of calculated values and measured values of Ty

Table 6. Comparisons of calculated values and measured values of Ty

Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance

Table 7. Comparisons of calculated values and measured values of horizontal eccentric distance

Table 8. Comparisons of calculated values and measured values of horizontal tilt angle

Table 8. Comparisons of calculated values and measured values of horizontal tilt angle

Table 3. Comparisons of calculated values and measured values of D_x

Table 3. Comparisons of calculated values and measured values of D_x

Table 4. Comparisons of calculated values and measured values of D_y

Table 4. Comparisons of calculated values and measured values of D_y

Table 5. Comparisons of calculated values and measured values of T_x

Table 5. Comparisons of calculated values and measured values of T_x

Table 6. Comparisons of calculated values and measured values of T_y

Table 6. Comparisons of calculated values and measured values of T_y