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In this paper, we employ chaotic light as an entropy source, generated by semiconductor lasers with optical feedback induced by external cavity, to generate 500 Mbit/s random number sequence and then study specifically the influence of external cavity length on randomness. The results indicate that the generated random sequence has an weak periodicity caused by the external cavity feedback under a single-channel chaotic source, and can only pass two or three tests of the National Institure of Standards and Technology(NIST) when the external-cavity round trip delay time is an integral multiple of the sampling time. On the other hand, the weak periodicity can be eliminated by using two different chaotic sources when their external cavity lengths are unproportional to each other, and the obtained random sequence can pass all tests of the NIST after XOR processing.
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Keywords:
- chaos /
- random number generator /
- semiconductor lasers /
- external cavity length
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[11] Argyris A, Hamacher M, Chlouverakis K E, Bogris A, Syvridis
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[13] Lin F Y, Liu J M 2004 IEEE J. Quantum Electron. 40 815
[14] Wang Y C, Wang B J, Wang A B 2008 IEEE Photon. Technol. Lett. 20 1636
[15] Wang Y C, Tang J H, Zhang M J Chinese patent ZL200710062140.1 2007 (in Chinese) [王云才、 汤君华、 张明江 中国发明专利 ZL200710062140.1 2007]
[16] Uchida A, Amano K, Inoue M, Hirano K, Naito S, Someya H, Oowada I, Kurashige T, Shiki M, Yoshimori S, Yoshimura K, Davis P 2008 Nature Photon. 2 728
[17] Hirano K, Amano K, Uchida A, Naito S, Inoue M, Yoshimori S, Yoshimura K, Davis P 2009 IEEE J. Quantum Electron. 45 1367
[18] Reidler I, Aviad Y, Rosenbluh M, Kanter I 2009 Phys. Rev. Lett. 103 024102
[19] Kanter I, Aviad Y, Reidler I, Cohen E, Rosenbluh M 2010 Nature Photon. 4 58
[20] Wang A B, Wang Y C, He H C 2008 IEEE Photon. Technol. Lett. 20 1633
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[1] NIST Special Publication 800-22,http: //csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html, 2001
[2] Petrie C S, Connelly J A 2000 IEEE Trans. Circuits Syst. Ⅰ 47 615
[3] D 2008 Phys. Rev. Lett. 100 194101
[4] Bucci M, Germani L, Luzzi R, Trifiletti A, Varanonuovo M 2003 IEEE Trans. Computers 52 403
[5] Liao J, Liang C, Wei Y J,Wu L A, Pan S H 2001 Acta Phys. Sin. 50 467 (in Chinese) [廖 静、 梁 创、 魏亚军、 吴令安、 潘少华 2001 物理学报 50 467]
[6] Feng M M, Qin X L, Zhou C Y, Xiong L, Ding L E 2003 Acta Phys. Sin. 52 72 (in Chinese) [冯明明、 秦小林、 周春源、 熊 利、 丁良恩 2003 物理学报 52 72]
[7] Huang Z, Zhou T, Bai G Q, Chen H Y 2004 Chinese Journal of Semiconductors 25 333 (in Chinese) [黄 谆、 周涛、 白国强、 陈弘毅 2004 半导体学报 25 333]
[8] Zhou Q,Hu Y,Liao X F 2008 Acta Phys. Sin. 57 5413 (in Chinese) [周 庆、 胡 月、 廖晓峰 2008 物理学报 57 5413]
[9] Bucci M, Germani L, Luzzi R, Trifiletti A, Varanouvo M 2003 IEEE Trans. Computers 52 403
[10] Dynes J F, Yuan Z L, Sharpe A W, Shields A J 2008 Appl. Phys.Lett. 93 031109
[11] Argyris A, Hamacher M, Chlouverakis K E, Bogris A, Syvridis
[12] Argyris A, Syvridis D, Larger L, Annovazzi-Lodi V, Colet P, Fischer I, García-Ojalvo J, Mirasso C R, Pesquera L, Shore K A 2005 Nature 438 343
[13] Lin F Y, Liu J M 2004 IEEE J. Quantum Electron. 40 815
[14] Wang Y C, Wang B J, Wang A B 2008 IEEE Photon. Technol. Lett. 20 1636
[15] Wang Y C, Tang J H, Zhang M J Chinese patent ZL200710062140.1 2007 (in Chinese) [王云才、 汤君华、 张明江 中国发明专利 ZL200710062140.1 2007]
[16] Uchida A, Amano K, Inoue M, Hirano K, Naito S, Someya H, Oowada I, Kurashige T, Shiki M, Yoshimori S, Yoshimura K, Davis P 2008 Nature Photon. 2 728
[17] Hirano K, Amano K, Uchida A, Naito S, Inoue M, Yoshimori S, Yoshimura K, Davis P 2009 IEEE J. Quantum Electron. 45 1367
[18] Reidler I, Aviad Y, Rosenbluh M, Kanter I 2009 Phys. Rev. Lett. 103 024102
[19] Kanter I, Aviad Y, Reidler I, Cohen E, Rosenbluh M 2010 Nature Photon. 4 58
[20] Wang A B, Wang Y C, He H C 2008 IEEE Photon. Technol. Lett. 20 1633
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