Deterministic generation of parametrically driven dissipative Kerr soliton

TL;DR

This paper theoretically demonstrates that deterministic generation of parametrically driven dissipative Kerr solitons is possible in micro-optical parametric oscillators with certain phase matching conditions, expanding the potential for ultrashort pulse sources.

Contribution

It introduces a new understanding of the conditions for deterministic PD-DKS generation without requiring near-zero GVM, and provides design guidelines for experimental realization.

Findings

Threshold GVM for deterministic PD-DKS generation identified

Two regimes of generation dynamics depending on phase matching

Cascaded quadratic nonlinearity crucial for soliton formation

Abstract

We theoretically study the nature of parametrically driven dissipative Kerr soliton (PD-DKS) in a doubly resonant degenerate micro-optical parametric oscillator (DR-D{\mu}OPO) with the cooperation of \c{hi}(2) and \c{hi}(3) nonlinearities. Lifting the assumption of close-to-zero group velocity mismatch (GVM) that requires extensive dispersion engineering, we show that there is a threshold GVM above which single PD-DKS in DR-D{\mu}OPO can be generated deterministically. We find that the exact PD-DKS generation dynamics can be divided into two distinctive regimes depending on the phase matching condition. In both regimes, the perturbative effective third-order nonlinearity resulting from the cascaded quadratic process is responsible for the soliton annihilation and the deterministic single PD-DKS generation. We also develop the experimental design guidelines for accessing such deterministic single PD-DKS state. The working principle can be applied to different material platforms as a competitive ultrashort pulse and broadband frequency comb source architecture at the mid-infrared spectral range.