Author Affiliations
1 Department of Electronic and Optical Engineering, Army Engineering University of PLA, Shijiazhuang, Hebei 0 50000, China2 System Integration Center of Optics and Electronics, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China3 Chongqing Key Laboratory of Multi-Scale Manufacturing Technology, Chongqing 400714, Chinashow less
Fig. 1. Schematic of segmented diffractive lens
Fig. 2. Light path of segmented lens
Fig. 3. Flow chart of piston and tip-tilt error analysis of segmented lens
Fig. 4. (a) Spot diagram of disorder segmented lens; (b) corresponding results of ZEMAX
Fig. 5. Calculated results of tilt error of single segmented lens. (a) Wavefront aberration of segmented 1 tilted by x' axis with 100 μrad; (b) results of ZEMAX corresponding to Fig. (a); (c) wavefront aberration of segmented 19 tilted by y' axis with 100 μrad; (d) results of ZEMAX corresponding to Fig. (c)
Fig. 6. Diagram of BP neural network structure
Fig. 7. Inner segmented lens without noise
Fig. 8. Outer segmented lens without noise
Fig. 9. Inner segmented lens with noise
Fig. 10. Outer segmented lens with noise
Segmented number | Segmented origin | Error type | Value |
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Conf 1 | (227.1, 39.3) | α /μrad | 100 | Conf 5 | (0.7, 230.5) | β /μrad | 200 | Conf 9 | (-226.9, 40.7) | β /μrad | -400 | Conf 19 | (335.0, 58.0) | β /μrad | 200 | Conf 30 | (-219.3, -259.8) | α /μrad | 300 | Conf 33 | (115.3, 319.8) | Δz /μm | -50 |
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Table 1. Position of segmented lens and corresponding error type and value
Item | ZEMAX/λ | MATLAB/λ |
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Peak-valley | RMS | | Peak-valley | RMS |
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Inner segmented | 0.0536 | 0.0129 | 0.0538 | 0.0129 | Outer segmented | 0.1744 | 0.0437 | 0.1786 | 0.0447 |
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Table 2. Tilt error comparison of ZEMAX and MATLAB
Unit | α /μrad | β /μrad | Δz /μm |
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Inner segmented | -550-550 | -550-550 | -65-65 | Outer segmented | -160-160 | -160-160 | -28-28 |
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Table 3. Boundary range of piston and tip-tilt error of segmented lens
Index | RMS of inner segmented lens | RMS of outer segmented lens |
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Without noise | With 3% noise | | Without noise | With 3% noise |
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α /rad | 3.3×10-7 | 2.9×10-5 | 2.3×10-7 | 2.1×10-5 | β /rad | 3.4×10-7 | 2.0×10-5 | 4.5×10-8 | 1.2×10-5 | Δz /m | 3.3×10-8 | 3.4×10-6 | 7.4×10-9 | 2.8×10-6 |
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Table 4. Fitting error of BP neural netwrok