Random Number Generation by Mode Hopping of VCSEL Using Optical Feedback

Yu-ling ZHANG; Pu LI; Zhi-qiang XIA; Chao-jie CHEN; Li MA; Bing-jie XU

doi:10.13756/j.gtxyj.2023.01.005

Study On Optical Communications, Volume. 49, Issue 1, 47(2023)

Random Number Generation by Mode Hopping of VCSEL Using Optical Feedback

Yu-ling ZHANG1... Pu LI1,2,3,*, Zhi-qiang XIA1, Chao-jie CHEN1, Li MA4 and Bing-jie XU4 |Show fewer author(s)

¹Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China

²School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China

³Guangdong Provincial Key Laboratory of Photonics Information Technology, Guangzhou 510006, China

⁴Science and Technology on Communication Security Laboratory, Chengdu 610041, China

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Fig. 1. Space optical system of VCSEL with optical feedback.SWM, square wave modulation

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Fig. 2. Polarization resolved L-I characteristic curves of VCSEL

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Fig. 3. Polarization resolved L-I characteristic curves of VCSEL with Y-polarized optical feedback

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Fig. 4. L-I characteristic curves of VCSEL at optical feedback rate k_y=14 ns^-1

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Fig. 5. 2.5 Gbit/s random pulse train generated with square wave modulation

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Fig. 6. Randomness verification of random numbers

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Fig. 7. Results of the NIST statistical test for random numbers

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Table 1. Parameters used in the theoretical model and related values^[16-19]

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Table 1. Parameters used in the theoretical model and related values^[16-19]

参数	参数值
场衰减率κ/ns^-1	600
线宽增强因子α	3
载流子衰减速率γ_N/ns^-1	10
自旋翻转速率γ_s/ns^-1	1 000
线性二向色性系数γ_α/ns^-1	-0.1
线性双折射系数γ_p/ns^-1	192
自发辐射噪声系数β_x，β_y	10^-4
反馈时延τ/ns	2

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Yu-ling ZHANG, Pu LI, Zhi-qiang XIA, Chao-jie CHEN, Li MA, Bing-jie XU. Random Number Generation by Mode Hopping of VCSEL Using Optical Feedback[J]. Study On Optical Communications, 2023, 49(1): 47

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