High-speed chaos in an optical feedback system with flexible timescales

We describe a new optoelectronic device with time-delayed feedback that uses a Mach-Zehnder interferometer as passive nonlinearity and a semiconductor laser as a current-to-optical-frequency converter. Band-limited feedback allows tuning of the characteristic time scales of both the periodic and high dimensional chaotic oscillations that can be generated with the device. Our implementation of the device produces oscillations in the frequency range of tens to hundreds of megahertz. We develop a model and use it to explore the experimentally observed Andronov-Hopf bifurcation of the steady state and to estimate the dimension of the chaotic attractor.

[1]  Ingo Fischer,et al.  Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication , 2000 .

[2]  R. Poy,et al.  Optical communication with chaotic waveforms , 1999, 1999 IEEE LEOS Annual Meeting Conference Proceedings. LEOS'99. 12th Annual Meeting. IEEE Lasers and Electro-Optics Society 1999 Annual Meeting (Cat. No.99CH37009).

[3]  Niloy K. Dutta,et al.  Long wavelength semiconductor lasers , 1988, Technical Digest., International Electron Devices Meeting.

[4]  Chaos in a feedback Fabry-Perot interferometer , 1994 .

[5]  M A Vorontsov,et al.  Chaotic free-space laser communication over a turbulent channel. , 2002, Physical review letters.

[6]  D. Gauthier,et al.  Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current , 2000, IEEE Journal of Quantum Electronics.

[7]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos , 2024 .

[8]  Laurent Larger,et al.  Optical communication with synchronized hyperchaos generated electrooptically , 2002 .

[9]  K. Ikeda,et al.  Successive Higher-Harmonic Bifurcations in Systems with Delayed Feedback , 1982 .

[10]  Shawn D. Pethel,et al.  Limiter Control of a Chaotic RF Transistor oscillator , 2002, Int. J. Bifurc. Chaos.

[11]  Period-three cycle in a chaotic system using a laser diode active interferometer , 1992 .

[12]  Laurent Larger,et al.  Optical Cryptosystem Based on Synchronization of Hyperchaos Generated by a Delayed Feedback Tunable Laser Diode , 1998 .

[13]  THEORETICAL MODELING OF CARRIER AND LATTICE HEATING EFFECTS FOR FREQUENCY CHIRPING IN SEMICONDUCTOR LASERS , 1999 .

[14]  M. Ciofini,et al.  CONTROLLING QUASIPERIODICITY IN A CO2 LASER WITH DELAYED FEEDBACK , 1998 .

[15]  M. B. Kennel,et al.  Synchronization and communication using semiconductor lasers with optoelectronic feedback , 2001 .

[16]  W. T. Rhodes,et al.  Bandpass chaotic dynamics of electronic oscillator operating with delayed nonlinear feedback , 2002 .

[17]  M. Ito,et al.  Direct Frequency Modulation In AlGaAs Semiconductor Lasers , 1982 .

[18]  Observation of higher harmonic bifurcations in a chaotic system using a laser diode active interferometer , 1991 .

[19]  Daniel J Gauthier,et al.  Controlling fast chaos in delay dynamical systems. , 2004, Physical review letters.

[20]  Rajarshi Roy,et al.  Communication with dynamically fluctuating states of light polarization. , 2002, Physical review letters.

[21]  Roy,et al.  Communication with chaotic lasers , 1998, Science.

[22]  A. Gavrielides,et al.  Experimental control of a chaotic semiconductor laser. , 1998, Optics letters.

[23]  Junji Ohtsubo,et al.  1.5-GHz message transmission based on synchronization of chaos in semiconductor lasers. , 2002, Optics letters.

[24]  池田 研介,et al.  Successive Higher-harmonic Bifurcations in Systems with Delayed Feedback(カオスとその周辺,研究会報告) , 1982 .

[25]  Rajarshi Roy,et al.  OPTICAL COMMUNICATION WITH CHAOTIC WAVEFORMS , 1998 .

[26]  Yoshihisa Yamamoto,et al.  Direct frequency modulation in AlGaAs semiconductor lasers , 1982 .

[27]  H. F. Liu,et al.  Nonlinear dynamics of a directly modulated 1.55 mu m InGaAsP distributed feedback semiconductor laser , 1993 .

[28]  Kestutis Pyragas,et al.  Analog Techniques for Modeling and Controlling the Mackey-Glass System , 1997 .

[29]  D. Renner,et al.  Long-wavelength semiconductor lasers , 1987, IEEE Journal of Quantum Electronics.

[30]  NOISE AMPLIFICATION IN A STOCHASTIC IKEDA MODEL , 1996 .

[31]  A. Gavrielides,et al.  Experimental demonstration of suppression of low-frequency fluctuations and stabilization of an external-cavity laser diode. , 2000, Optics letters.