Design of Star Sensor Optical Lens with Large Aperture and Long Focal Length

Table 1. Design indicators of different star sensors
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Table 1. Design indicators of different star sensors
Serial number f /mm Aperture /mm /（°） Waveband /nm
1 200 100 10.61 500‒800
2 99 99 7 450‒900
3 95 39.6 13.32 450‒1000
4 50 40 11.96 500‒800

Table 2. Indices of the optical system

View table

Table 2. Indices of the optical system

Parameter	Index requirement
f /mm	200
$2 ω$ /（°）	14.84
Relative aperture	1 /1.6
Waveband /nm	500-800
Back focal length /mm	>17.5
Energy encircled concentration	>90% in 3×3 pixels
Optical design MTF(Nyquist frequency)	>0.45

Table 3. Parameters of the glass materials
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Table 3. Parameters of the glass materials
Glass SILICA H-LAF54 H-FK95N H-K7 H-ZF3 H-ZPK7 H-ZFKLA H-FK71 D-ZLAF52LA D-FK61 H-BAF3 TF3
N_d 1.46 1.80 1.44 1.51 1.72 1.57 1.81 1.46 1.81 1.50 1.58 1.61
V_d 67.80 43.20 94.60 60.60 29.50 71.30 25.50 90.30 41.00 81.60 53.70 44.10

Table 4. Focal lengths of the optical lens at different temperatures
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Table 4. Focal lengths of the optical lens at different temperatures
Temperature /℃ Focal /mm
0 199.964
20 200.000
40 200.036

Table 5. Results of the tolerance analysis
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Table 5. Results of the tolerance analysis
Tolerance Range
Radius(fringes) ±3
Thickness / $μ m$ ±20
Decenter / $μ m$ ±20
Tilt /(°) ±0.01
Index 0.001
Abbe /% 1%

Table 6. Results of the Monte Carlo analysis
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Table 6. Results of the Monte Carlo analysis
Sampling probability /% RMS spot radius /
98 8.23
90 7.56
80 6.87
50 5.21
20 3.98
10 3.45

Table 7. MTF measured in different fields of view

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Table 7. MTF measured in different fields of view

Spatial frequency/(lp mm^-1)	Object angle/(°)
Spatial frequency/(lp mm^-1)	7.421	5.214	3.785	1.556	0	1.553	3.782	5.211	7.419
Tan 30	0.611	0.711	0.785	0.812	0.795	0.765	0.724	0.693	0.625
Tan 60	0.412	0.481	0.523	0.584	0.514	0.472	0.442	0.411	0.384
Sag 30	0.53	0.613	0.675	0.742	0.785	0.752	0.701	0.655	0.594
Sag 60	0.345	0.421	0.617	0.623	0.576	0.512	0.465	0.381	0.324

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Dongqi Sun, Mingyong Hu, Chenkai Liu, Zhiwei Feng, Xiaobo Cai, Zhaoyang Li. Design of Star Sensor Optical Lens with Large Aperture and Long Focal Length[J]. Laser & Optoelectronics Progress, 2021, 58(11): 1112001

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