Phase dynamics in an injection-locked system

This work considers an injection-locked system for low injection levels and derives a single, third-order equation for the phase of the electric field. Experiments are performed using a single-mode quantum-dot slave laser. The relaxation oscillation frequency, damping and linewidth enhancement factor alpha are then determined using the phase equation. Simulations of the phase-equation with added noise show good agreement with the experimental results. Hence, this work has proven that either experimental or numerical evidence of this phenomenon can be observed in the injection-locked system.