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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 27 — Dec. 17, 2012
  • pp: 28603–28613

Fast random bits generation based on a single chaotic semiconductor ring laser

Romain Modeste Nguimdo, Guy Verschaffelt, Jan Danckaert, Xaveer Leijtens, Jeroen Bolk, and Guy Van der Sande  »View Author Affiliations

Optics Express, Vol. 20, Issue 27, pp. 28603-28613 (2012)

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The use of the postprocessing method consisting of bitwise Exclusive-OR and least significant bits extraction to generate random bit sequences typically requires two distinct chaotic outputs. While the two signals are, in general, generated using two separated devices, e.g. two Fabry-Perot lasers, a single semiconductor ring laser can be used as an alternative due to its circular symmetry which facilitates lasing in two counterpropagating mode directions. We consider a chaotic semiconductor ring laser and investigate both numerically and experimentally its characteristics for fast random bit generation. In particular, we show that by sampling each directional mode’s output signal using a 8-bit analog-digital converter and through Exclusive-OR operation applied to the two resulting signals (after throwing away 4 most significant bits), we can achieve fast random bit-streams with a bit rate 4 × 10 = 40 Gbit/s, passing the statistical randomness tests. To optimize the system performance, we also study the dependence of randomness on the main system parameters and on noise.

© 2012 OSA

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(140.1540) Lasers and laser optics : Chaos
(140.3560) Lasers and laser optics : Lasers, ring

ToC Category:
Lasers and Laser Optics

Original Manuscript: October 5, 2012
Revised Manuscript: November 16, 2012
Manuscript Accepted: November 16, 2012
Published: December 10, 2012

Romain Modeste Nguimdo, Guy Verschaffelt, Jan Danckaert, Xaveer Leijtens, Jeroen Bolk, and Guy Van der Sande, "Fast random bits generation based on a single chaotic semiconductor ring laser," Opt. Express 20, 28603-28613 (2012)

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  1. N. Ferguson, B. Schneier, and T. Kohno, Cryptography Engineering: Design Principles and Practical Applications (Wiley, 2010).
  2. W. T. Holman, J. A. Connelly, and A. B. Dowlatabadi, “An integrated analog/digital random noise source,” IEEE Trans. Circuits Syst. I, 44, 521–528 (1997). [CrossRef]
  3. T. Stojanovski and L. Kocarev, “Chaos-based random number generators part I: Analysis [cryptography],” IEEE Trans. Circuits Syst. I: Fundam. Theory Applicat.48, 281–288 (2001). [CrossRef]
  4. R. M. Nguimdo, P. Colet, L. Larger, and L. Pesquera, “Digital key for chaos communication performing time delay concealment,” Phys. Rev. Lett.107, 034103/1–4 (2011). [CrossRef]
  5. R. M. Nguimdo and P. Colet, “Electro-optic phase chaos systems with an internal variable and a digital key,” Opt. Express20, 25333–25344 (2012). [CrossRef] [PubMed]
  6. A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2, 728–732 (2008). [CrossRef]
  7. T. E. Murphy and R. Roy, “The worlds fastest dice, Nat. Photonics2, 714–715 (2008). [CrossRef]
  8. K. Hirano, K. Amano, A. Uchida, S. Naito, M. Inoue, S. Yoshimori, K. Yoshimura, and P. Davis, “Characteristics of fast physical random bit generation using chaotic semiconductor lasers,” IEEE J. Quantum Electron.45, 1367–1379 (2009). [CrossRef]
  9. I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultra high-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett.103, 024102 (2009). [CrossRef] [PubMed]
  10. A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18, 18763–18768 (2010). [CrossRef] [PubMed]
  11. I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh, “An optical ultrafast random bit generator,” Nat. Photonics4, 58–61 (2010). [CrossRef]
  12. K. Hirano, T. Yamazaki, S. Morikatsu, H. Okumura, H. Aida, A. Uchida, S. Yoshimori, K. Yoshimura, T. Harayama, and P. Davis, “Fast random bit generation with bandwidth-enhanced chaos in semiconductor lasers,” Opt. Express18, 5512–5524 (2010). [CrossRef] [PubMed]
  13. N. Oliver, M. C. Soriano, D. W. Sukow, and I. Fischer, “Dynamics of a semiconductor laser with polarization-rotated feedback and its utilization for random bit generation,” Opt. Lett.36, 4632 (2011). [CrossRef] [PubMed]
  14. C. R. S. Williams, J. C. Salevan, X.-W. Li, R. Roy, and T. E. Murphy, “Fast physical random number generator using amplified spontaneous emission,” Opt. Express18, 23584–23597 (2010). [CrossRef] [PubMed]
  15. R. H. Walden, “Analog-to-digital converter survey and analysis,” IEEE J. Sel. Areas Commun.17, 539–550 (1999) [CrossRef]
  16. M. Sorel, G. Giuliani, A. Sciré, R. Miglierina, J. P. R. Laybourn, and S. Donati, “Operating regimes of GaAsAl-GaAs semiconductor ring lasers: Experiment and model,” IEEE J. Quantum Electron.39, 1187–1195 (2003). [CrossRef]
  17. J. Javaloyes and S. Balle, “Emission directionality of semiconductor ring lasers: A traveling-wave description,” IEEE J. Quantum Elect.45, 431–438 (2009). [CrossRef]
  18. S. Sunada, T. Harayama, K. Arai, K. Yoshimura, K. Tsuzuki, A. Uchida, and P. Davis, “Random optical pulse generation with bistable semiconductor ring lasers,” Opt. Express19, 7439–7450 (2011) [CrossRef] [PubMed]
  19. I. V. Ermakov, G. Van der Sande, and J. Danckaert, “Semiconductor ring laser subject to delayed optical feedback: bifurcations and stability”, Commun. Nonlinear Sci. Numer. Simul.17, 4767–4779 (2012). [CrossRef]
  20. R. M. Nguimdo, G. Verschaffelt, J. Danckaert, and G. Van der Sande, “Loss of time-delay signature in chaotic semiconductor ring lasers,” Opt. Lett.37, 2541–2544 (2012). [CrossRef] [PubMed]
  21. L. Gelens, S. Beri, G. Van der Sande, G. Mezosi, M. Sorel, J. Danckaert, and G. Verschaffelt, “Exploring multi-stability in semiconductor ring lasers: theory and experiment,” Phys. Rev. Lett.102, 193904 (2009).
  22. N. Jiang, W. Pan, B. Luo, L. Yan, S. Xiang, L. Yang, D. Zheng, and N. Li, “Influence of injection current on the synchronization and communication performance of closed-loop chaotic semiconductor lasers,” Opt. Lett.36, 3197–3199 (2011). [CrossRef] [PubMed]
  23. D. Rontani, A. Locquet, M. Sciamanna, D. S. Citrin, and S. Ortin, “Time-delay identification in a chaotic semiconductor laser with optical feedback: A dynamical point of view,” IEEE J. Quantum Electron.45, 879–891 (2009). [CrossRef]
  24. R. M. Nguimdo, M. C. Soriano, and P. Colet, “Role of the phase in the identification of delay time in semiconductor lasers with optical feedback,” Opt. Lett.36, 4332–4334 (2011). [CrossRef] [PubMed]
  25. R. Vicente, J. Dauden, P. Colet, and R. Toral, “Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop,” IEEE J. Quantum Electron.41, 541–548 (2005). [CrossRef]
  26. M. F. Booth, A. Schremer, and J. M. Ballantyne, “Spatial beam switching and bistability in a diode ring laser,” Appl. Phys. Lett.76, 1095–1097 (2000). [CrossRef]
  27. I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh, “Towards the generation of random bits at terahertz rates based on a chaotic semiconductor laser,” Int. Workshop on Statistical-Mechanical Informatics 1–8 (2010), 5861 (2010).
  28. A. Argyris, E. Pikasis, S. Deligiannidis, and Dimitris Syvridis, “Sub-Tb/s physical random bit generators based on direct detection of amplified spontaneous emission signals,” J. Lightwave Technol.30, 1329–1334 (2010). [CrossRef]
  29. A. Rukhin, J. Soto, J. Nechvatal, M. Smid, E. Barker, S. Leigh, and M. Levenson, “A statistical test suite for random and pseudorandom number generators for cryptographic applications,” Nat. Inst. Standards and Technology, Special Publication 800-22, 2001, Revision 1, 2008 [Online]. Available: http://csrc.nist.gov/publications/nist-pubs/800-22-rev1/SP800-22rev1.pdf .
  30. S. J. Kim, K. Umeno, and A. Hasegawa, “Corrections of the NIST statistical test suite for randomness,” 2004, arXiv:nlin.CD/0401040v1.
  31. X. Leijtens, “JePPIX: the platform for InP-based photonics,” IET Optoelectronics5, 202–206 (2011). [CrossRef]
  32. I. V. Ermakov, S. Beri, M. Ashour, J. Danckaert, B. Docter, J. Bolk, X. Leijtens, and G. Verschaffelt, “Semiconductor ring laser with On-Chip Filtered Optical Feedback for discrete wavelength tuning,” IEEE J. Quantum Electron.48, 129–136 (2012). [CrossRef]

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