Acta Photonica Sinica, Volume. 53, Issue 12, 1222002(2024)
Design of Off-axis Three-mirror Optical System Based on Controlled Genetic Algorithm
Figures & Tables(19)
Fig. 2. Genetic algorithm solution system initial structure flow chart
Fig. 5. Image quality analysis diagram of system initial structure
Table 1. The relationship between parameters and structure of one-axis three-mirror optical system
View tableView in ArticleTable 1. The relationship between parameters and structure of one-axis three-mirror optical system
α1 α2 β1 β2 Structural form An image between the main and secondary mirrors An image between the secondary and tertiary mirrors >1 >1 <0 >0 Convex-convex-concave No No >1 >0，<1 >0 <0 Convex-concave-concave No No >1 >-1，<0 >0 >0 Convex-concave-concave No Yes >0，<1 >1 >0 >0 Concave-convex-concave No No >0，<1 >0，<1 <0 <0 Concave-convex-concave No No >0，<1 <-1 <0 >0 Concave-convex-concave No Yes >-1，<0 >1 <0 >0 Concave-convex-concave Yes No <-1 >1 <0 >0 Concave-convex-concave Yes No
Table 2. System parameter range
View tableView in ArticleTable 2. System parameter range
Parameter α1 α2 β1 β2 C2 C2 C3 Range 1.2~6 1.2~6 -0.99~-0.01 1.001~5 -15~15 -15~15 -15~15
Table 3. Different weight optimization results
View tableView in ArticleTable 3. Different weight optimization results
Weight［ω1-ω5］ Fitness function RMS radius/μm GEO radius/μm ［21111］ 0.348 4.98 8.65 ［12111］ 0.038 10.57 17.97 ［11211］ 0.157 7.69 13.24 ［11121］ 0.087 7.24 12.56 ［11112］ 0.003 7.93 13.69
Table 4. System parameter
View tableView in ArticleTable 4. System parameter
Parameter α1 α2 β1 β2 C2 C2 C3 Outcome 1.28 1.67 0.37 1.18 0.54 -1.10 0.09
Table 5. System result parameter
View tableView in ArticleTable 5. System result parameter
Surface Surface type Radius/mm Distance/mm Conic Primary mirror Fringe Zernike Polynomials 6 000 -279.58 -6.18 Secondary mirror Even-order aspheric surface -425.38 294.86 15 Tertiary mirror Even-order aspheric surface -371.74 297.99 0.17
Table 6. Primary mirror Zernike fringe polynomial coefficients
View tableView in ArticleTable 6. Primary mirror Zernike fringe polynomial coefficients
Term Value Term Value Z5 -1.162 3×10-2 Z17 -1.519 9×10-2 Z8 -2.110 5×10-2 Z20 6.477 9×10-3 Z9 -1.772 0×10-2 Z21 1.969 1×10-3 Z11 -2.205 9×10-2 Z24 -4.353 8×10-4 Z12 -1.227 8×10-3 Z25 -2.496 5×10-5 Z15 1.884 9×10-3 Z27 1.776 7×10-5 Z16 -4.463 0×10-4
Table 7. System spot diagram
View tableView in ArticleTable 7. System spot diagram
Field of view （0°，19°） （15°，19°） （0°，25°） （15°，25°） Spot diagram RMS radius value /μm 3.202 2.912 3.270 3.535 GEO radius value /μm 5.853 5.046 11.478 9.272
Table 8. System tolerance allocation
View tableView in ArticleTable 8. System tolerance allocation
Tolerance type Index Radius of curvature ΔR/mm ±0.02 Quadratic coefficient Δk ±0.1% Surface accuracy RMS（λ=632.8 nm） ±1/50λ Lens thickness and air gap/mm ±0.02 X-direction eccentricity/mm ±0.05 Y-direction eccentricity/mm ±0.05 X-direction tilt/（°） ±0.033 Y-direction tilt/（°） ±0.033 Z-direction tilt/（°） ±0.051
Table 9. System full field of view tolerance analysis RMS radius value
View tableView in ArticleTable 9. System full field of view tolerance analysis RMS radius value
Probability
distribution
Each field of view RMS radius value （0°，5°） （15°，5°） （0°，12°） （15°，12°） （0°，19°） （15°，19°） （0°，25°） （15°，25°） 90% 0.010 0 0.009 6 0.009 1 0.009 4 0.009 9 0.009 8 0.016 4 0.022 1 80% 0.009 2 0.008 7 0.008 1 0.008 7 0.008 7 0.009 0 0.014 7 0.019 9 50% 0.007 4 0.069 0 0.006 5 0.006 8 0.006 9 0.006 8 0.010 4 0.015 9 20% 0.005 0 0.005 5 0.005 1 0.005 2 0.005 3 0.004 8 0.007 4 0.012 1 10% 0.004 6 0.004 4 0.004 6 0.004 7 0.004 2 0.004 2 0.006 1 0.010 4
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Jiangtao WANG, Hu WANG, Zhanpeng MA, Yaoke XUE, Xingyan WANG, Jin LIAN. Design of Off-axis Three-mirror Optical System Based on Controlled Genetic Algorithm[J]. Acta Photonica Sinica, 2024, 53(12): 1222002
Paper Information
Category: Optical Design and Fabrication
Received: May. 30, 2024
Accepted: Aug. 16, 2024
Published Online: Jan. 15, 2025
The Author Email: WANG Hu (wanghu@opt.ac.cn)
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