Application of Refraction/diffraction Hybrid Optical System in Nano Star Sensor

Qian DENG; Guoyu ZHANG; Yao MENG; Gaofei SUN; Zongyu DU

doi:10.3788/gzxb20245306.0622001

Acta Photonica Sinica, Volume. 53, Issue 6, 0622001(2024)

Application of Refraction/diffraction Hybrid Optical System in Nano Star Sensor

Qian DENG¹, Guoyu ZHANG^1,2,3、*, Yao MENG^1,2,3, Gaofei SUN^1,2,3, and Zongyu DU¹

Author Affiliations

¹School of Electro-optical Engineering， Changchun University of Science and Technology， Changchun 130022， China

²Key Laboratory of Optoelectronic Measurement and Control and Optoelectronic Information Transmission Technology， Ministry of Education， Changchun 130022， China

³Jilin Province Optoelectronic Measurement and Control Instrument Engineering Research Center， Changchun 130022， China

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Figures & Tables(20)

$The diffraction efficiency varies with the incident wavelength$

Fig. 1. The diffraction efficiency varies with the incident wavelength

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Fig. 2. The relationship between caliber， signal-to-noise ratio and limit magnitude

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Fig. 3. Improved double Gaussian structure

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Fig. 4. The optimized optical system structure

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$Comparison of the point plot with and without diffractive surfaces$

Fig. 5. Comparison of the point plot with and without diffractive surfaces

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$Comparison of the point spread function with and without diffractive surfaces$

Fig. 6. Comparison of the point spread function with and without diffractive surfaces

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$Comparison of the MTF with and without diffractive surfaces$

Fig. 7. Comparison of the MTF with and without diffractive surfaces

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$Comparison of the energy concentration with and without diffractive surfaces$

Fig. 8. Comparison of the energy concentration with and without diffractive surfaces

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$Comparison of the color difference function with and without diffractive surfaces$

Fig. 9. Comparison of the color difference function with and without diffractive surfaces

Fig. 10. Distortion

$Diffraction efficiency of each order of long wave and short wave diffraction$

Fig. 11. Diffraction efficiency of each order of long wave and short wave diffraction

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Fig. 12. Ghosts in all fields of view

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Fig. 13. Tolerance analysis

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Table 1. Energy concentration of a 5×5 pixel window when $σ_{P S F}$ it is 0.7
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Table 1. Energy concentration of a 5×5 pixel window when $σ_{P S F}$ it is 0.7
Pixel number（n×n） 1×1 3×3 5×5
Energy concentration 0.275 6 0.936 8 0.999 3

Table 2. Optical system design index

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Table 2. Optical system design index

Index	Demand
Field	17°
Focal length	25 mm（±0.05 mm）
F number	1∶1.086
Energy concentration	≥90% within the 3 $\times$ 3 pixel
Wavelength	0.52~0.78 μm
Distortion	≤0.02%
Maximum centroid color shift	≤±0.61 μm
Total length of optical system	≤38 mm

Table 3. Band period and corresponding radius
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Table 3. Band period and corresponding radius
Cycles Radius/mm
-1 2.209
-2 3.171
-3 3.949
-4 4.645
-5 5.305
-6 5.957
-7 6.633
-8 7.382
-9 8.360

Table 4. Color shift of centroid of each field
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Table 4. Color shift of centroid of each field
Wavelength/nm Centroid color shift/μm
0 $ω$ 0.3 $ω$ 0.5 $ω$ 0.7 $ω$ 1 $ω$
520 0 0.1 0.2 0.32 0.54
650 0 0 0 0 0
780 0 0.21 0.35 0.48 0.58

Table 5. Main wavelength first order diffraction ghost statistics

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Table 5. Main wavelength first order diffraction ghost statistics

Field	Imaging radiant flux/W	Ghost radiation flux/W	Imaging radiant flux/Ghost radiation flux
2.55°	45.70	4.12 $\times$ 10^-4	1.11 $\times$ 10⁵
4.25°	42.83	4.87 $\times$ 10^-3	8.79 $\times$ 10⁴
5.95°	45.56	4.51 $\times$ 10^-3	1.01 $\times$ 10⁵
8.5°	36.51	9.25 $\times$ 10^-3	3.94 $\times$ 10⁴

Table 6. Short wavelength multistage diffraction ghost statistics

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Table 6. Short wavelength multistage diffraction ghost statistics

Field	Imaging radiant flux/W	Ghost radiation flux/W	Imaging radiant flux/Ghost radiation flux
2.55°	42.5	3.08 $\times$ 10^-4	1.37 $\times$ 10⁵
4.25°	39.5	3.88 $\times$ 10^-4	1.01 $\times$ 10⁵
5.95°	42.38	8.23 $\times$ 10^-3	5.17 $\times$ 10⁴
8.5°	31.35	9.88 $\times$ 10^-3	3.17 $\times$ 10⁴

Table 7. Tolerance allocation
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Table 7. Tolerance allocation
Parameter Tolerance
Radius（fringes） ±2
Radius of curvature，thickness，eccentricity tolerance ±0.02 mm
Tilt tolerance ±0.02°
Material refractive index tolerance ±0.005
Abbe number tolerance ±0.5

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Qian DENG, Guoyu ZHANG, Yao MENG, Gaofei SUN, Zongyu DU. Application of Refraction/diffraction Hybrid Optical System in Nano Star Sensor[J]. Acta Photonica Sinica, 2024, 53(6): 0622001

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