Optimal control of the transient behavior of coupled solid-state lasers

Area of Science:

• Physics
• Quantum Optics
• Nonlinear Dynamics

Background:

• Coupled solid-state lasers exhibit complex dynamics, including in-phase and out-of-phase states.
• Transitions between these states can involve significant transient times, limiting practical applications.
• Controlling these transitions efficiently is crucial for laser device performance.

Purpose of the Study:

• To investigate the application of optimal control theory for reducing transient times in coupled solid-state lasers.
• To analytically derive the optimal control strategy for state transitions.
• To numerically validate the effectiveness of the proposed control method.

Main Methods:

• Application of optimal control theory to model laser dynamics.
• Analytical derivation of the time-varying injected optical field as the control input.
• Numerical solution of the optimality system to simulate laser behavior.
• Parametric analysis of the effect of injection strength and duration on transient times.

Main Results:

• Successfully reduced transient times for in-phase and out-of-phase state transitions.
• Identified a specific time-varying optical field injection as the optimal control.
• Demonstrated that transient times can be significantly shortened by briefly increasing injection strength.
• Analytical and numerical solutions confirmed the control strategy's efficacy.

Conclusions:

• Optimal control theory provides an effective method for rapid state switching in coupled solid-state lasers.
• A brief, high-intensity optical injection is a viable strategy to minimize transient durations.
• This approach has the potential to enhance the speed and efficiency of laser-based systems.