Pattern Formation in Double-Layer Kerr Resonators with Coupled Modes

TL;DR

This paper investigates how coupled modes in double-layer Kerr resonators can stabilize localized solutions and enhance Kerr frequency comb generation, revealing new stable dissipative solitons and paired breather solitons.

Contribution

It introduces the concept of coupled modes in double-layer Kerr resonators to achieve stable localized solutions beyond single-mode mechanisms.

Findings

Periodic solutions from modulational instability stabilize spatial dynamics.

Coupled modes increase the stability of Kerr frequency combs.

Numerical simulations reveal paired breather and temporally stable solitons.

Abstract

A double-layer Kerr resonator in which both coupled modes are excited and interact with each other via incoherent cross-phase modulation is investigated to reveal stable localized solutions beyond the usual formation mechanism involving a single mode. Periodic solutions from modulational instability are found to occur at a slight penalty on the nonlinear efficiency, but they stabilize the spatial dynamics, leading to dissipative solitons in previously unattainable regimes. Numerical simulations show paired breather solitons in addition to temporally stable solutions. The results demonstrate coupled modes can increase the stability of Kerr frequency comb generation.