Self-frequency blue-shift of dissipative solitons in silicon based waveguides

TL;DR

This paper investigates how dissipative solitons in silicon waveguides experience a self-induced blue-shift due to free carrier effects, combining numerical simulations with analytical theory to understand their dynamics.

Contribution

It introduces a coupled model of the Ginzburg-Landau equation and free carrier dynamics to analyze soliton blue-shift in silicon waveguides, supported by numerical and analytical results.

Findings

Dissipative solitons accelerate and blue-shift due to free carrier effects.

Gain dispersion hampers the extent of the blue-shift.

Numerical simulations align with analytical predictions.

Abstract

We analyze the dynamics of dissipative solitons in silicon on insulator waveguides embedded in a gain medium. The optical propagation is modeled through a cubic Ginzburg-Landau equation for the field envelope coupled with an ordinary differential equation accounting for the generation of free carriers owing to two-photon absorption. Our numerical simulations clearly indicate that dissipative solitons accelerate due to the carrier-induced index change and experience a considerable blue-shift, which is mainly hampered by the gain dispersion of the active material. Numerical results are fully explained by analytical predictions based on soliton perturbation theory.