Effect of parametric variation on generation and enhancement of chaos in erbium-doped fiber-ring lasers

The simulation and numerical analysis of erbium-doped fiber- ring lasers for generation and enhancement of chaos is presented. The degree of chaos determines the level of security in chaotic optical commu- nication systems. Various parameters such as pump power, modulation index, modulation frequency, decay rate, and cavity gain can be varied as a control in producing higher degree optical chaos. The effect of each pertinent model parameter is analyzed in time-expanded mode using a phase plot direct-observation method and time series analysis of the time domain wave form by calculating its Lyapunov exponents. The mathemat- ical and numerical analysis of the generated chaos helps in generalizing the trend through variation of cavity parameters and driving conditions in achieving a relatively higher degree of chaos. These trends help in op- timizing various parameters for generation of new sequences of optical chaosinrealizingbettersecurity.Togainaninsightintochaoticsignatures, the width and height of individual pulses, relationship of their time periods, gain quenching, shape, formation of bunches, and humps of the chaotic wave forms are also analyzed. The study of individual and cumulative behavior of all the parameters in enhancing optical chaos leads toward a reliable development in designing secure communication systems. C 2010

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

[2]  P. Chu,et al.  1-GHz optical communication system using chaos in erbium-doped fiber lasers , 2000, IEEE Photonics Technology Letters.

[3]  P.L. Chu,et al.  Dual-wavelength chaos generation and synchronization in erbium-doped fiber lasers , 2005, IEEE Photonics Technology Letters.

[4]  Liguo Luo,et al.  Optical secure communications with chaotic erbium-doped fiber lasers , 1998 .

[5]  Gregory L. Baker,et al.  Chaotic dynamics: Contents , 1996 .

[6]  T. W. Whitbread,et al.  Experimental observation of synchronization of chaos in erbium-doped fiber lasers , 2000 .

[7]  Fan Zhang,et al.  Effect of transmission fiber on chaos communication system based on erbium-doped fiber ring laser , 2003 .

[8]  C. Mira,et al.  Chaotic Dynamics: From the One-Dimensional Endomorphism to the Two-Dimensional Diffeomorphism , 1987 .

[9]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[10]  Ricardo Chacón,et al.  Control of Homoclinic Chaos by Weak Periodic Perturbations , 2005 .

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

[12]  Byoungho Lee,et al.  Experiments on chaos synchronization in two separate erbium-doped fiber lasers , 2001 .

[13]  Alexander N. Pisarchik,et al.  Experimental characterization of the bifurcation structure in an erbium-doped fiber laser with pump modulation , 2003 .

[14]  J. M. Álvarez,et al.  Nonlinear response of a unidirectional erbium-doped fiber ring laser to a sinusoidally modulated pump power , 2002 .

[15]  Gregory L. Baker,et al.  Chaotic Dynamics: An Introduction , 1990 .

[16]  Y. Imai,et al.  Chaos synchronization characteristics in erbium-doped fiber laser systems , 2003 .

[17]  P. Colet,et al.  Security Implications of Open- and Closed-Loop Receivers in All-Optical Chaos-Based Communications , 2009, IEEE Photonics Technology Letters.

[18]  J. Bayon,et al.  Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers. , 1993, Optics letters.

[19]  Ke Shen,et al.  Synchronization of chaotic systems modulated by another chaotic system in an erbium-doped fiber dual-ring laser system , 2001 .

[20]  T. Ivancevic,et al.  Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals , 2008 .

[21]  Paul S. Addison.  Fractals and Chaos , 1997 .

[22]  Lutang Wang,et al.  Security of polarization-shift keying chaos optical communication system , 2008 .

[23]  D. Batens,et al.  Theory and Experiment , 1988 .

[24]  Liguo Luo,et al.  Chaotic behavior in erbium-doped fiber-ring lasers , 1998 .

[25]  Kevin P. Chen,et al.  Atmospheric thermal lens induced by high-power CO/sub 2/ laser beams in laser materials processing , 2001 .

[26]  Alexander N. Pisarchik,et al.  Dynamics of an erbium-doped fiber laser with pump modulation: theory and experiment , 2005 .