Statistical properties for an optically injected chaotic semiconductor laser with a high-pass filter.

Area of Science:

• Nonlinear optics
• Semiconductor lasers
• Chaos theory

Background:

• Chaotic waveforms from semiconductor lasers are vital for applications like random number generation.
• Achieving specific probability density functions, such as Gaussian, is key for reliable applications.

Purpose of the Study:

• To numerically investigate the probability density functions of chaotic waveforms generated by optically injected semiconductor lasers.
• To explore the impact of high-pass filters with varying cutoff frequencies on these waveforms.
• To identify conditions for obtaining Gaussian probability density functions.

Main Methods:

• Numerical simulations of optically injected semiconductor lasers.
• Analysis of chaotic waveforms using probability density functions.
• Application of high-pass filters with different cutoff frequencies.
• Parameter space exploration of injection parameters and filter cutoff frequencies.

Main Results:

• Chaotic waveforms exhibiting Gaussian probability density functions are achieved when the high-pass filter cutoff frequency exceeds the laser relaxation resonance frequency.
• A superhigh coefficient of determination (R² ≥ 99.5%) and ultralow skewness (|S| < 0.1) were obtained for Gaussian distributions.
• These results were achieved across a broad parameter space by controlling injection parameters and filter cutoff frequency.

Conclusions:

• High-pass filtering above the laser relaxation resonance frequency is an effective method to generate Gaussian chaotic waveforms from semiconductor lasers.
• The findings enable precise control over waveform characteristics for advanced applications like secure random number generation.
• This research provides a pathway for optimizing chaotic laser systems for high-fidelity Gaussian output.