Piston and Tip-Tilt Error Analysis of Segmented Diffractive Lens

Taojie Li; Peng Wu; Shaoyun Yin; Zheng Yang; Chunlei Du; Yuefeng Wang

doi:10.3788/AOS201838.0211002

Acta Optica Sinica, Volume. 38, Issue 2, 0211002(2018)

Piston and Tip-Tilt Error Analysis of Segmented Diffractive Lens

Taojie Li^1,2,3, Peng Wu^2,3, Shaoyun Yin^2,3, Zheng Yang^2,3, Chunlei Du^2,3, and Yuefeng Wang^1、*

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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Figures & Tables(14)

$Schematic of segmented diffractive lens$

Fig. 1. Schematic of segmented diffractive lens

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Fig. 2. Light path of segmented lens

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Fig. 3. Flow chart of piston and tip-tilt error analysis of segmented lens

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Fig. 4. (a) Spot diagram of disorder segmented lens; (b) corresponding results of ZEMAX

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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)

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Fig. 6. Diagram of BP neural network structure

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Fig. 7. Inner segmented lens without noise

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Fig. 8. Outer segmented lens without noise

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Fig. 9. Inner segmented lens with noise

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Fig. 10. Outer segmented lens with noise

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Table 1. Position of segmented lens and corresponding error type and value

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Table 1. Position of segmented lens and corresponding error type and value

Segmented number	Segmented origin	Error type	Value
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

Table 2. Tilt error comparison of ZEMAX and MATLAB
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Table 2. Tilt error comparison of ZEMAX and MATLAB
Item ZEMAX/λ MATLAB/λ
Peak-valley RMS Peak-valley RMS
Inner segmented 0.0536 0.0129 0.0538 0.0129
Outer segmented 0.1744 0.0437 0.1786 0.0447

Table 3. Boundary range of piston and tip-tilt error of segmented lens
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Table 3. Boundary range of piston and tip-tilt error of segmented lens
Unit α /μrad β /μrad Δz /μm
Inner segmented -550-550 -550-550 -65-65
Outer segmented -160-160 -160-160 -28-28

Table 4. Fitting error of BP neural netwrok

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Table 4. Fitting error of BP neural netwrok

Index	RMS of inner segmented lens		RMS of outer segmented lens
Index	Without noise	With 3% noise	Without noise	With 3% noise
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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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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