• Acta Optica Sinica
  • Vol. 38, Issue 2, 0211002 (2018)
Taojie Li1、2、3, Peng Wu2、3, Shaoyun Yin2、3, Zheng Yang2、3, Chunlei Du2、3, and Yuefeng Wang1、*
Author Affiliations
  • 1 Department of Electronic and Optical Engineering, Army Engineering University of PLA, Shijiazhuang, Hebei 0 50000, China
  • 2 System Integration Center of Optics and Electronics, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China
  • 3 Chongqing Key Laboratory of Multi-Scale Manufacturing Technology, Chongqing 400714, China
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    DOI: 10.3788/AOS201838.0211002 Cite this Article Set citation alerts
    Taojie Li, Peng Wu, Shaoyun Yin, Zheng Yang, Chunlei Du, Yuefeng Wang. Piston and Tip-Tilt Error Analysis of Segmented Diffractive Lens[J]. Acta Optica Sinica, 2018, 38(2): 0211002 Copy Citation Text show less
    Schematic of segmented diffractive lens
    Fig. 1. Schematic of segmented diffractive lens
    Light path of segmented lens
    Fig. 2. Light path of segmented lens
    Flow chart of piston and tip-tilt error analysis of segmented lens
    Fig. 3. Flow chart of piston and tip-tilt error analysis of segmented lens
    (a) Spot diagram of disorder segmented lens; (b) corresponding results of ZEMAX
    Fig. 4. (a) Spot diagram of disorder segmented lens; (b) corresponding results of ZEMAX
    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. 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)
    Diagram of BP neural network structure
    Fig. 6. Diagram of BP neural network structure
    Inner segmented lens without noise
    Fig. 7. Inner segmented lens without noise
    Outer segmented lens without noise
    Fig. 8. Outer segmented lens without noise
    Inner segmented lens with noise
    Fig. 9. Inner segmented lens with noise
    Outer segmented lens with noise
    Fig. 10. Outer segmented lens with noise
    Segmented numberSegmented originError typeValue
    Conf 1(227.1, 39.3)α /μrad100
    Conf 5(0.7, 230.5)β /μrad200
    Conf 9(-226.9, 40.7)β /μrad-400
    Conf 19(335.0, 58.0)β /μrad200
    Conf 30(-219.3, -259.8)α /μrad300
    Conf 33(115.3, 319.8)Δz /μm-50
    Table 1. Position of segmented lens and corresponding error type and value
    ItemZEMAX/λMATLAB/λ
    Peak-valleyRMSPeak-valleyRMS
    Inner segmented0.05360.01290.05380.0129
    Outer segmented0.17440.04370.17860.0447
    Table 2. Tilt error comparison of ZEMAX and MATLAB
    Unitα /μradβ /μradΔz /μm
    Inner segmented-550-550-550-550-65-65
    Outer segmented-160-160-160-160-28-28
    Table 3. Boundary range of piston and tip-tilt error of segmented lens
    IndexRMS of inner segmented lensRMS of outer segmented lens
    Without noiseWith 3% noiseWithout noiseWith 3% noise
    α /rad3.3×10-72.9×10-52.3×10-72.1×10-5
    β /rad3.4×10-72.0×10-54.5×10-81.2×10-5
    Δz /m3.3×10-83.4×10-67.4×10-92.8×10-6
    Table 4. Fitting error of BP neural netwrok
    Taojie Li, Peng Wu, Shaoyun Yin, Zheng Yang, Chunlei Du, Yuefeng Wang. Piston and Tip-Tilt Error Analysis of Segmented Diffractive Lens[J]. Acta Optica Sinica, 2018, 38(2): 0211002
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