High-Speed Chaos in an Optical Feedback System With Flexible Timescales

IEEE Journal of Quantum Electronics

Volumn 40, Issue 3, 2004, Pages 299-305

  Blakely, J N ^a   Illing, Lucas ^b   Gauthier, Daniel J ^b  

^a U S ARMY   (United States)

^b DUKE UNIVERSITY   (United States)

Author keywords

Bifurcation; Chaos; Delay effects; Electrooptic devices; Feedback lasers; Nonlinear differential equations; Nonlinear systems; Optoelectronic devices

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; DISTRIBUTED FEEDBACK LASERS; FEEDBACK; INTERFEROMETERS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; OPTOELECTRONIC DEVICES; OSCILLATIONS; SEMICONDUCTOR LASERS; TIME SERIES ANALYSIS; TUNING;

DELAY EFFECTS; ELECTROOPTIC DEVICES; FEEDBACK LASERS; NONLINEAR DIFFERENTIAL EQUATIONS;

OPTICAL COMMUNICATION;

EID: 1642587077     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2003.823021     Document Type: Article

References (27)

1. G. D. Van Wiggeren and R. Roy, "Communication with chaotic lasers," Science, vol. 279, pp. 1198-1200, 1998.
2. J. P. Goedgebuer, L. Larger, and H. Porte, "Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode," Phys. Rev. Lett., vol. 80, pp. 2249-2252, 1998.
3. G. D. Van Wiggeren and R. Roy, "Optical communication with chaotic waveforms," Phys. Rev. Lett., vol. 81, pp. 3547-3550, 1998.
4. I. Fischer, Y. Liu, and P. Davis, "Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication," Phys. Rev. A, vol. 62, pp. 011 801-1-011 801-4, 2000.
5. K. Kusumoto and J. Ohtsubo, "1.5 GHz message transmission based on synchronization of chaos in semiconductor lasers," Opt. Lett., vol. 27, pp. 989-991, 2002.
6. G. D. Van Wiggeren and R. Roy, "Communication with dynamically fluctuating states of light polarization," Phys. Rev. Lett., vol. 88, pp. 097903-1-097903-4, 2002.
7. N. F. Rulkov, M. A. Vorontsov, and L. Illing, "Chaotic free-space laser communication over a turbulent channel," Phys. Rev. Lett., vol. 89, pp. 277905-1-277 905-4, 2002.
8. A. Namajūnas, K. Pyragas, and A. Tamaševičius, "Analog techniques for modeling and controlling the Mackey-Glass system," Int. J. Bifurc. Chaos, vol. 7, pp. 957-962, 1997.
9. 2 laser with delayed feedback," Phys. Rev. E, vol. 57, pp. 5230-5236, 1998.
10. A. Hohl and A. Gavrielides. "Experimental control of a chaotic semiconductor laser," Opt. Lett., vol. 23, pp. 1606-1608, 1998.
11. D. W. Sukow and D. J. Gauthier, "Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current," IEEE J. Quantum Electron., vol. 37, pp. 175-183. 2000.
12. F. Rogister, D. W. Sukow, A. Gavrielides, P. Mgret, O. Deparis, and M. Blondel, "Experimental demonstration of suppression of low-frequency fluctuations and stabilization of an external-cavity laser diode," Opt. Lett., vol. 25, pp. 808-810, 2000.
13. K. Ikeda and K. Kondo, "Successive higher-harmonic bifurcations in systems with delayed feedback," Phys. Rev. Lett., vol. 49, pp. 1467-1470, 1982.
14. J. N. Blakely, L. Illing, and D. J. Gauthier, "Controlling fast chaos," unpublished.
15. Y. Liu and J. Ohtsubo, "Observation of higher harmonic bifurcations in a chaotic system using a laser diode active interferometer," Opt. Commun., vol. 85, pp. 457-461, 1991.
16. _, "Period-three cycle in a chaotic system using a laser diode active interferometer," Opt. Commun., vol. 93, pp. 311-317, 1992.
17. T. Takizawa, Y. Liu, and J. Ohtsubo, "Chaos in a feedback fabry-perot interferometer," IEEE J. Quantum Electron., vol. 30, pp. 334-338, 1994.
18. J. P. Goedgebuer, P. Levy, L. Larger, C. C. Chen, and W. T. Rhodes, "Optical communication with synchronized hyperchaos generated elec- trooptically," IEEE J. Quantum Electron., vol. 38, pp. 1178-1183, 2002.
19. V. S. Udaltsov, L. Larger, J. P. Goedgebuer, M. W. Lee, E. Genin, and W. T. Rhodes, "Bandpass chaotic dynamics of electronic oscillator operating with delayed nonlinear feedback," IEEE Trans. Circuits Syst. I, vol. 49, pp. 1006-1009, 2002.
20. S. Kobayashi, Y. Yamamoto, M. Ito, and T. Kimura, "Direct frequency modulation in AlGaAs semiconductor lasers," IEEE J. Quantum Electron., vol. QE-18, pp. 582-595, 1982.
21. C. Y. Tsai, C. H. Chen, T. L. Sung, C. Y. Tsai, and J. M. Rorison, "Theoretical modeling of carrier and lattice heating effects for frequency chirping in semiconductor lasers," Appl. Phys. Lett., vol. 74, pp. 917-919, 1999.
22. G. P. Agrawal and N. K. Dutta, Long-Wavelength Semiconductor Lasers. New York: Van-Nostrand, 1986.
23. H. F. Liu and W. F. Ngai, "Nonlinear dynamics of a directly modulated 1.55 μm InGaAsP distributed feedback semiconductor laser," IEEE J. Quantum Electron., vol. 29, pp. 1668-1675, 1993.
24. S. H. Strogatz, Nonlinear Dynamics and Chaos. Cambridge, MA: Perseus, 1994, p. 264.
25. J. Garcia-Ojalvo and R. Roy, "Noise amplification in a stochastic Ikeda model," Phys. Lett. A, vol. 224, pp. 51-56, 1996.
26. H. D. I. Abarbanel, M. B. Kennel, L. Illing, S. Tang, H. F. Chen, and J. M. Liu, "Synchronization and communication using semiconductor lasers with optoelectronic feedback," IEEE J. Quantum Electron., vol. 37, pp. 1301-1311, 2001.
27. N. J. Corron, B. A. Hopper, and S. D. Pethel, "Limiter control of a chaotic RF transistor oscillator," Int. J. Bifurc. Chaos, vol. 13, pp. 957-961, 2003.