Generation of polarization-resolved wideband unpredictability-enhanced chaotic signals based on vertical-cavity surface-emitting lasers subject to chaotic optical injection.

A system framework is proposed and analyzed for generating polarization-resolved wideband unpredictability-enhanced chaotic signals based on a slave vertical-cavity surface-emitting laser (S-VCSEL) driven by an injected optical chaos signal from a master VCSEL (M-VCSEL) under optical feedback. After calculating the time series outputs from the M-VCSEL under optical feedback and the S-VCSEL under chaotic optical injection by using the spin-flip model (SFM), the unpredictability degree (UD) is evaluated by permutation entropy (PE), and the bandwidth of the polarization-resolved outputs from the M-VCSEL and S-VCSEL are numerically investigated. The results show that, under suitable parameters, both the bandwidth and UD of two polarization components (PCs) outputs from the S-VCSEL can be enhanced significantly compared with that of the driving chaotic signals output from the M-VCSEL. By simulating the influences of the feedback and injection parameters on the bandwidth and UD of the polarization-resolved outputs from S-VCSEL, related operating parameters can be optimized.

[1]  Wei Pan,et al.  Wideband Unpredictability-Enhanced Chaotic Semiconductor Lasers With Dual-Chaotic Optical Injections , 2012, IEEE Journal of Quantum Electronics.

[2]  J. Ohtsubo Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback , 2002 .

[3]  J Ohtsubo,et al.  Bandwidth-enhanced chaos synchronization in strongly injection-locked semiconductor lasers with optical feedback. , 2003, Optics letters.

[4]  Zheng-Mao Wu,et al.  Dual-channel chaos synchronization and communication based on unidirectionally coupled VCSELs with polarization-rotated optical feedback and polarization-rotated optical injection. , 2009, Optics express.

[5]  S. Ortin,et al.  Time-Delay Identification in a Chaotic Semiconductor Laser With Optical Feedback: A Dynamical Point of View , 2009, IEEE Journal of Quantum Electronics.

[6]  J P Toomey,et al.  Correlation dimension signature of wideband chaos synchronization of semiconductor lasers. , 2006, Optics letters.

[7]  J. Paul,et al.  3.5-GHz signal transmission in an all-optical chaotic communication scheme using 1550-nm diode lasers , 2005, IEEE Photonics Technology Letters.

[8]  M. C. Soriano,et al.  Permutation-information-theory approach to unveil delay dynamics from time-series analysis. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. Uchida,et al.  Synchronization of bandwidth-enhanced chaos in semiconductor lasers with optical feedback and injection. , 2009, Optics express.

[10]  M. Rosenstein,et al.  A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .

[11]  Atsushi Uchida,et al.  Fast random bit generation with bandwidth-enhanced chaos in semiconductor lasers. , 2010, Optics express.

[12]  I. Kanter,et al.  An optical ultrafast random bit generator , 2010 .

[13]  A Argyris,et al.  Photonic integrated device for chaos applications in communications. , 2008, Physical review letters.

[14]  Yanhua Hong,et al.  Wideband Chaos With Time-Delay Concealment in Vertical-Cavity Surface-Emitting Lasers With Optical Feedback and Injection , 2014, IEEE Journal of Quantum Electronics.

[15]  Hucheng He,et al.  Enhancing the Bandwidth of the Optical Chaotic Signal Generated by a Semiconductor Laser With Optical Feedback , 2008, IEEE Photonics Technology Letters.

[16]  C. Masoller,et al.  Polarization Dynamics of Current-Modulated Vertical-Cavity Surface-Emitting Lasers , 2007, IEEE Journal of Quantum Electronics.

[17]  J. Shukla,et al.  Predictability in the midst of chaos: A scientific basis for climate forecasting , 1998, Science.

[18]  K. Iga,et al.  Surface-emitting laser-its birth and generation of new optoelectronics field , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[19]  Jiagui Wu,et al.  Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback. , 2009, Optics express.

[20]  Laurent Larger,et al.  Chaos-based communications at high bit rates using commercial fibre-optic links , 2005, Nature.

[21]  Yan Sen-lin Bifurcation and locking in an multi-quantum-well laser subjected to external injection , 2009 .

[22]  Wei Pan,et al.  Randomness-Enhanced Chaotic Source With Dual-Path Injection From a Single Master Laser , 2012, IEEE Photonics Technology Letters.

[23]  Zheng-Mao Wu,et al.  Time-Delay Signature Suppression of Polarization-Resolved Chaos Outputs from Two Mutually Coupled VCSELs , 2013, IEEE Photonics Journal.

[24]  Neal B. Abraham,et al.  Polarization properties of vertical-cavity surface-emitting lasers , 1997 .

[25]  Krassimir Panajotov,et al.  Bifurcation to nonlinear polarization dynamics and chaos in vertical-cavity surface-emitting lasers , 2013 .

[26]  I Kanter,et al.  Ultrahigh-speed random number generation based on a chaotic semiconductor laser. , 2009, Physical review letters.

[27]  J. Kurths,et al.  Kolmogorov–Sinai entropy from recurrence times , 2009, 0908.3401.

[28]  M. C. Soriano,et al.  Characterizing the Hyperchaotic Dynamics of a Semiconductor Laser Subject to Optical Feedback Via Permutation Entropy , 2011, IEEE Journal of Selected Topics in Quantum Electronics.

[29]  J García-Ojalvo,et al.  Spatiotemporal communication with synchronized optical chaos. , 2000, Physical review letters.

[30]  J P Toomey,et al.  Mapping the dynamic complexity of a semiconductor laser with optical feedback using permutation entropy. , 2014, Optics express.

[31]  J. Huisman,et al.  Biodiversity of plankton by species oscillations and chaos , 1999, Nature.

[32]  M. C. Soriano,et al.  Time Scales of a Chaotic Semiconductor Laser With Optical Feedback Under the Lens of a Permutation Information Analysis , 2011, IEEE Journal of Quantum Electronics.

[33]  J P Toomey,et al.  Nonlinear dynamics of semiconductor lasers with feedback and modulation. , 2010, Optics express.

[34]  Holger Kantz,et al.  Identifying and Modeling Delay Feedback Systems. , 1998, chao-dyn/9907019.

[35]  S. T. Kingni,et al.  Nonlinear dynamics in VCSELs driven by a sinusoidally modulated current and Rössler oscillator , 2012 .

[36]  R. Toral,et al.  Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop , 2005, IEEE Journal of Quantum Electronics.

[37]  Atsushi Uchida,et al.  Tb/s physical random bit generation with bandwidth-enhanced chaos in three-cascaded semiconductor lasers. , 2015, Optics express.

[38]  K. A. Shore,et al.  Optimal operating conditions for external cavity semiconductor laser optical chaos communication system , 2012 .

[39]  S. Deligiannidis,et al.  Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit. , 2010, Optics express.

[40]  B. Pompe,et al.  Permutation entropy: a natural complexity measure for time series. , 2002, Physical review letters.

[41]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[42]  Hugo Thienpont,et al.  Deterministic polarization chaos from a laser diode , 2013 .

[43]  Kevin M. Short,et al.  UNMASKING A HYPERCHAOTIC COMMUNICATION SCHEME , 1998 .

[44]  Kazuyuki Aihara,et al.  Chaotic simulated annealing by a neural network model with transient chaos , 1995, Neural Networks.

[45]  Yun-Cai Wang,et al.  Route to broadband chaos in a chaotic laser diode subject to optical injection. , 2009, Optics letters.