Depletion-limited Kerr solitons in singly-resonant optical parametric oscillators

TL;DR

This paper investigates how pump depletion affects the formation and efficiency of cavity solitons in singly-resonant optical parametric oscillators with a nonlinear section, providing analytical insights and comparisons to Kerr resonators.

Contribution

It introduces an analytical expression for soliton existence regions and compares energy conversion efficiency in different resonator configurations.

Findings

Solitons in these oscillators are more efficient at high walk-off than in Kerr resonators.

An analytical expression for soliton existence regions was derived.

Singly-resonant oscillators can outperform Kerr resonators in energy efficiency.

Abstract

We analyze the impact of pump depletion in the generation of cavity solitons in a singly-resonant parametrical oscillator that includes a $\chi^{(3)}$ nonlinear section. We find an analytical expression that provides the soliton existence region using variational methods, study the efficiency of energy conversion, and compare it to a driven Kerr resonator modeled by the Lugiato-Lefever equation. At high walk-off, solitons in singly-resonant optical parametric oscillators are more efficient than those formed in a Kerr resonator driven through a linear coupler.