Imaging Characteristics of Radial Multi-Sub-Mirror Array

Xiaoyao Liu; Zhongcheng Liang; Weiqian Hao; Rui Zhao; Meimei Kong; Tao Chen; Yue Zhang

doi:10.3788/AOS201939.0811003

Acta Optica Sinica, Volume. 39, Issue 8, 0811003(2019)

Imaging Characteristics of Radial Multi-Sub-Mirror Array

Xiaoyao Liu^1、**, Zhongcheng Liang^1、*, Weiqian Hao¹, Rui Zhao¹, Meimei Kong¹, Tao Chen¹, and Yue Zhang²

¹ College of Electronic and Optical Engineering & College of Microelectronics, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210023, China;

² Beijing Institute of Space Mechanics and Electricity, China Academy of Space Technology, Beijing 100094, China

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Figures & Tables(11)

Fig. 1. Simplified model of optical sparse aperture imaging system

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Fig. 2. Schematic of radial multi-sub-mirror array structure

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Fig. 3. Fill factor F as a function of dimensionless sub-aperture simplification diameter d0 in different structures

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Fig. 4. Optical pupil diagrams and MTF profiles of two different structures with different fill factors. (a) Type II-312 structure when F=26%; (b) type II-312 structure when F=49%; (c) type I-331 structure when F=26%; (d) type I-331 structure when F=49%

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Fig. 5. Top views of MTF of two array structures with different fill factors. (a) Type II-312 structure when F=14%; (b) type II-312 structure when F=26%; (c) type II-312 structure when F=49%; (d) type I-331 structure when F=14%; (e) type I-331 structure when F=26%; (f) type I-331 structure when F=49%

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Fig. 6. MTF as a function of fill factor F for two different structures. (a) Type II-312 structure in horizontal direction; (b) type II-312 structure in vertical direction; (c) type I-331 structure in horizontal direction; (d) type I-331 structure in vertical direction

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Fig. 7. Comparison of MTFs between multi-sub-mirror structure (type II-312) and composite ring-shaped structure with different fill factors (in horizontal direction). (a) F=20%; (b) F=26%; (c) F=33%; (d) F=39.6%

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Table 1. Parameters of type I and type II radial multi-sub-mirror structures when n1=3
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Table 1. Parameters of type I and type II radial multi-sub-mirror structures when n1=3
Type n₂ n₃ N F_max /%
2 1 21 43
Type I 3 1 24 49
3 2 30 61
Type II 1 2 24 49

Table 2. Characteristic indexes of type II-312 structure

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Table 2. Characteristic indexes of type II-312 structure

F /%	Ratio of practical effective diameters D_r/D	Ratio of average f_MTF	ρ_r/ρ_D	α_MTF,mid
20	0.8902	0.0973	0.7925	0.0465
26	0.8988	0.1080	0.8079	0.0519
33	0.9107	0.1195	0.8294	0.0566
41	0.9586	0.1254	0.9190	0.0598
49	0.9623	0.1232	0.9259	0.0578

Table 3. Characteristic indexes of type I-331 structure

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Table 3. Characteristic indexes of type I-331 structure

F /%	Ratio of practical effective diameters D_r/D	Ratio of average f_MTF	ρ_r/ρ_D	α_MTF,mid
20	0.7938	0.0834	0.6322	0.0395
26	0.8221	0.0961	0.6758	0.0459
33	0.8683	0.1136	0.7539	0.0537
41	0.9545	0.1258	0.9108	0.0599
49	0.9588	0.1234	0.9194	0.0582

Table 4. Characteristic indexes of composite ring-shaped structure with different fill factors
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Table 4. Characteristic indexes of composite ring-shaped structure with different fill factors
F /% Ratio of practical effective diameters D_r/D Ratio of average f_MTF ρ_r/ρ_dc α_MTF,mid
20.0 0.7123 0.0798 0.6109 0.0364
26.0 0.7816 0.0912 0.6678 0.0412
33.0 0.8441 0.1091 0.7489 0.0512
39.6 0.8913 0.1201 0.8596 0.0521

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Xiaoyao Liu, Zhongcheng Liang, Weiqian Hao, Rui Zhao, Meimei Kong, Tao Chen, Yue Zhang. Imaging Characteristics of Radial Multi-Sub-Mirror Array[J]. Acta Optica Sinica, 2019, 39(8): 0811003

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Paper Information

Category: Imaging Systems

Received: Mar. 7, 2019

Accepted: May. 5, 2019

Published Online: Aug. 7, 2019

The Author Email: Xiaoyao Liu (1761590525@qq.com), Zhongcheng Liang (zcliang@njupt.edu.cn)

DOI:10.3788/AOS201939.0811003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Parameters of type I and type II radial multi-sub-mirror structures when n1=3

Table 1. Parameters of type I and type II radial multi-sub-mirror structures when n1=3

Table 2. Characteristic indexes of type II-312 structure

Table 2. Characteristic indexes of type II-312 structure

Table 3. Characteristic indexes of type I-331 structure

Table 3. Characteristic indexes of type I-331 structure

Table 4. Characteristic indexes of composite ring-shaped structure with different fill factors

Table 4. Characteristic indexes of composite ring-shaped structure with different fill factors