# Dissipative Kerr solitons and Cherenkov radiation in optical microresonators with third order dispersion

## TL;DR

This paper analyzes how third order dispersion affects dissipative Kerr solitons in microresonators, revealing the formation of Cherenkov radiation and its impact on soliton spectra through asymptotic and numerical methods.

## Contribution

It introduces a combined perturbation and moment method to derive expressions for dispersive wave characteristics and studies their mutual influence with solitons in microresonators.

## Key findings

- Dispersive waves cause spectral recoil of solitons.
- Solitons displace the dispersive wave spectral peak.
- The analysis provides explicit formulas for dispersive wave parameters.

## Abstract

We present the results of asymptotic and numerical analysis of dissipative Kerr solitons in whispering gallery mode microresonators influenced by higher order dispersive terms leading to the appearance of a dispersive wave (Cherenkov radiation). Combining direct perturbation method with the method of moments we find expressions for the frequency, strength, spectral width of the dispersive wave and soliton velocity. Mutual influence of the soliton and dispersive wave was studied. The formation of the dispersive wave leads to a shift of the soliton spectrum maximum from the pump frequency (spectral recoil), while the soliton displaces the dispersive wave spectral peak from the zero dispersion point.