Resonant radiation in synchronously pumped passive Kerr cavities

We report theoretical, numerical, and experimental studies of resonant dispersive wave (DW) generation in synchronously pumped passive Kerr resonators. Our results demonstrate that multiple DWs can be simultaneously excited when pumping in either the anomalous or normal dispersion regimes. They correspond to the fundamental DW that propagates phase-matched to the pump, and to higher-order quasi-phase-matched sidebands whose resonant amplification is permitted by the cavity periodicity. In addition, we experimentally confirm that the DW frequencies can be controlled by adjusting the phase detuning between the pump and the cavity. Our experimental measurements are in good agreement with numerical simulations and simple phase-matching conditions.