Dispersive wave emission from dark solitons in microresonator-based Kerr frequency combs

TL;DR

This paper demonstrates that dark solitons in microresonators with normal dispersion can emit dispersive waves in both dispersion regimes, enhancing frequency comb stability, with predictions validated by dissipative radiation theory.

Contribution

It introduces a numerical study showing dark cavity solitons emit dispersive waves in normal and anomalous dispersion, extending understanding of Kerr frequency comb dynamics.

Findings

Dark solitons emit dispersive waves in both dispersion regions.

Dispersive wave emission can be predicted by dissipative radiation theory.

Stability of Kerr frequency combs is enhanced by dispersive wave emission from dark solitons.

Abstract

Taking advantage of an extended Lugiato--Lefever equation with third-order dispersion, we numerically show that dark cavity solitons formed in normal dispersion of microresonators are capable of emitting dispersive waves in both normal and anomalous dispersion regions, resembling the behavior of the commonly encountered bright cavity solitons. The generated dispersive waves can be accurately predicted by the dissipative radiation theory. In addition, we demonstrate the stability enhancement of Kerr frequency combs in normal dispersion regime in case the dispersive wave is emitted by dark solitons in presence of third-order dispersion.