Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A3L-D

Session:

Number:203

Effective Bandwidths of Broadband Chaos

Tsung-Chieh Wu,  Yuh-Kwei Chao,  Fan-Yi Lin,  

pp.203-206

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.203

PDF download (1.3MB)

We propose to use an effective bandwidth in describing the broadband nature of the chaos, which sums up only those discrete spectral segments of the chaos power spectrum accounting for 80% of the total power. Compared to the conventional definitions that tend to overestimate the effective bandwidths of the chaotic signals, the proposed effective bandwidth measures only the bandwidths that possess significant amount of power in the chaos spectra. Using the effective bandwidth proposed, the broadband chaos states can be clearly distinguished from the narrow-band periodic oscillation states based on just the values of the effective bandwidths measured without looking into the details of the time series and the spectra. In this study, the bandwidths of the dynamical states generated with an optically injected semiconductor laser under different bandwidth definitions are compared. To demonstrate the usefulness of the proposed definition in applications such as ranging using chaos, the relations between the chaos bandwidths and the peak to sidelobe levels (PSL) are also investigated.

[1] K. Hirano, T. Yamazako, 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,”J. Opt. Express, vol.18, pp.5512-5524, 2010.

[2] F. Y. Lin and M. C. Tsai, “Chaotic communication in radio-over-fiber transmission based on optoelectronic feedback semiconductor lasers,” Opt. Express, vol.10, pp.302-311, 2007.

[3] W. T. Wu, Y. H. Liao, and F. Y. Lin, “Noise suppressions in synchronized chaos lidars,” Opt. Express, vol.18, pp.26155-26162, 2010.

[4] F. Y. Lin and J. M. Liu, “Nonlinear dynamical characteristics of an optically injected semiconductor laser subject to optoelectronic feedback,”Opt. Comm., vol.221, pp.173-180, 2003.

[5] A. Wang, Y. Wang, and H. He, “Enhancing the band-width of the optical chaotic signal generated by a semi-conductor laser with optical feedback,”IEEE Photon. Technol. Lett., vol.20, pp.1633-1635, 2008.

[6] F. Y. Lin, S. Y. Tu, C. C. Huang, and S. M. Chang, “Nonlinear dynamics of semiconductor lasers under repetitive optical pulse injection,”IEEE J. of Sel. Top. Quantum Electron., vol.15, pp.604-611, 2009.

[7] S. K. Hwang and J. M. Liu, “Dynamical characteristics of an optically injected semiconductor laser,”Opt. Comm., vol.183, pp.195-205, 2000.

[8] F. Y. Lin and J. M. Liu, “Diverse waveform generation using semiconductor lasers for radar and microwave applications,”IEEE J. Quantum Electron., vol.40, pp.682-689, 2004.