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With demonstrated applications ranging from metrology to telecommunications,soliton microresonator frequency combs have emerged over the past decade as aremarkable new technology. However, standard implementations only allow for thegeneration of combs whose repetition rate is tied close to the fundamentalresonator free-spectral range (FSR), offering little or no dynamic control overthe comb line spacing. Here we propose and experimentally demonstrate harmonicand rational harmonic driving as novel techniques that allow for the robustgeneration of soliton frequency combs with discretely adjustable frequencyspacing. By driving an integrated Kerr microresonator with a periodic train ofpicosecond pulses whose repetition rate is set close to an integer harmonic ofthe 3.23 GHz cavity FSR, we deterministically generate soliton frequency combswith frequency spacings discretely adjustable between 3.23 GHz and 19.38 GHz.More remarkably, we also demonstrate that driving the resonator at rationalfractions of the FSR allows for the generation of combs whose frequency spacingcorresponds to an integer harmonic of the pump repetition rate. By measuringthe combs' radio-frequency spectrum, we confirm operation in the low-noisesoliton regime with no supermode noise. The novel techniques demonstrated inour work provide new degrees of freedom for the design of synchronously pumpedsoliton frequency combs.

Harmonic and rational harmonic driving of microresonator soliton frequency combs