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Complexity and bandwidth enhancement in unidirectionally coupled semiconductor lasers with time-delayed optical
Kazutaka Kanno1, Atsushi Uchida2, Masatoshi Bunsen1
1Department of Electronics Engineering and Computer Science, Fukuoka University, 8-19-1 Nanakuma, Johnan-ku, Fukuoka 814-0180, Japan.
Physical Review. E
|April 15, 2016
Summary
We numerically investigated chaotic temporal waveforms in coupled semiconductor lasers. Higher complexity (Lyapunov exponents) correlated with lower autocorrelation peaks, but was independent of frequency bandwidth.
Area of Science:
- Optics and Photonics
- Nonlinear Dynamics
- Laser Physics
Background:
- Semiconductor lasers are crucial for modern optics.
- Chaotic dynamics in lasers can be exploited for secure communication and random number generation.
- Time-delayed optical feedback is a common method to induce chaos in lasers.
Purpose of the Study:
- To numerically investigate the frequency bandwidth and autocorrelation characteristics of chaotic temporal waveforms.
- To evaluate the complexity of these waveforms using Lyapunov exponents.
- To understand the relationship between complexity, autocorrelation, and frequency bandwidth in coupled lasers.
Main Methods:
- Numerical simulations of unidirectionally coupled semiconductor lasers.
- Analysis of chaotic temporal waveforms generated with time-delayed optical feedback.
- Calculation of Lyapunov exponents to quantify waveform complexity.
- Examination of autocorrelation functions and frequency bandwidth.
Main Results:
- Larger maximum Lyapunov exponents (indicating higher complexity) were obtained for smaller peak values of the autocorrelation function.
- The maximum Lyapunov exponent was found to be independent of the frequency bandwidth of the chaotic temporal waveforms.
- A clear relationship was established between autocorrelation properties and waveform complexity.
Conclusions:
- The complexity of chaotic temporal waveforms in coupled semiconductor lasers is strongly linked to their autocorrelation properties.
- Frequency bandwidth is not a determining factor for the complexity of these chaotic waveforms.
- These findings offer insights into controlling and characterizing laser chaos for potential applications.

