# Quadratic Soliton Combs in Doubly-Resonant Second-Harmonic Generation

## TL;DR

This paper presents a theoretical study of quadratic frequency combs in a dispersive second-harmonic generation cavity, revealing various dynamical regimes and the coexistence of bright and dark cavity solitons without temporal walk-off.

## Contribution

It introduces a new theoretical framework for quadratic combs in dispersive SHG cavities and demonstrates the existence of both bright and dark solitons without walk-off.

## Key findings

- Identification of multiple dynamical regimes
- Existence of bright and dark cavity solitons
- No temporal walk-off required for soliton formation

## Abstract

We report a theoretical investigation of quadratic frequency combs in a dispersive second-harmonic generation cavity system. We identify different dynamical regimes and demonstrate that the same system can exhibit both bright and dark localized cavity solitons in the absence of a temporal walk-off.