Autocorrelation properties of chaotic delay dynamical systems: A study on semiconductor lasers

Area of Science:

• Physics
• Nonlinear Dynamics
• Quantum Optics

Background:

• Semiconductor lasers with delayed optical feedback exhibit complex dynamics.
• Understanding these dynamics is crucial for laser applications and fundamental physics.
• Autocorrelation functions are key to characterizing temporal properties of these systems.

Purpose of the Study:

• To experimentally characterize the autocorrelation properties of delayed feedback semiconductor lasers.
• To investigate the applicability of a linear stochastic model with delay for approximating these properties.
• To extract dynamic parameters and define the limits of the model's validity.

Main Methods:

• Experimental measurements of laser intensity dynamics.
• Calculation of autocorrelation functions from experimental data.
• Fitting experimental autocorrelation functions to an analytically derived model.
• Analysis of dynamic parameters and model validity.

Main Results:

• Experimental autocorrelation functions closely match the analytical solutions from a linear stochastic model with delay across various dynamical regimes.
• The linear model successfully captures essential features like echo shifts and asymmetric broadening.
• Key dynamic parameters were extracted through model fitting.

Conclusions:

• A linear stochastic model with delay provides a powerful and accurate approximation for the autocorrelation properties of delayed feedback semiconductor lasers.
• This model offers significant insights into the physical and dynamical behavior of these complex systems.
• The findings enhance our understanding of delay-induced phenomena in lasers.