Dual-comb interferometry utilizes two optical frequency combs to map the optical field's spectrum to a radio-frequency signal without using moving parts, allowing improved speed and accuracy. However, the method is compounded by the complexity and demanding stability associated with operating multiple laser frequency combs. To overcome these challenges, we demonstrate simultaneous generation of multiple frequency combs from a single optical microresonator and a single continuous-wave laser. Similar to space-division multiplexing, we generate several dissipative Kerr soliton states -circulating solitonic pulses driven by a continuous-wave laser -in different spatial (or polarization) modes of a MgF 2 microresonator. Up to three distinct combs are produced simultaneously, featuring excellent mutual coherence and substantial repetition rate differences, useful for fast acquisition and efficient rejection of soliton intermodulation products. Dual-comb spectroscopy with amplitude and phase retrieval, as well as optical sampling of a breathing soliton, is realised with the free-running system. Compatibility with photonic-integrated resonators could enable the deployment of dual-and triple-combbased methods to applications where they remained impractical with current technology.
IntroductionShortly after the inception of the optical frequency comb 2 , it was realised that combining two combs with slightly different repetition rates on a photodetector produces a radio-frequency (RF) interferogram that samples the optical response 3,4 , without any moving parts. Such dual-comb techniques have been demonstrated in both real-time 5,6 and mid-infrared 7 spectroscopy, distance measurements 8 , two-way time transfer 9 , coherent anti-Stokes Raman spectro-imaging 10 , as well as photonic analogue to digital conversion 11 . However, facing the complexity and cost associated with operating two laser frequency combs, novel methods are being actively explored with a view to reduce the system complexity and inherently improve the mutual coherence. For example, instead of phase locking two independent conventional * tobias.kippenberg@epfl.ch mode-locked lasers, both combs can be generated in the same laser cavity 12 , via repetition rate switching of a single comb 13 , or spectrally broadened in the same fibre in opposite propagation directions 14 . As the noise sources are common mode, the relative coherence between the combs is significantly improved, allowing for longer coherent averaging 4 .Recent advances in the field of high-quality-factor microresonators pumped with a continuous wave (CW) laser have led to the discovery of 'Kerr' frequency combs 15 (also termed 'microcombs') that arise due to nonlinear wave mixing mediated by the optical Kerr effect.One particular state of such combs corresponds to the formation of dissipative Kerr solitons 16 (DKSs) -self-localised pulses of light circulating in the resonators arising from the double balance between loss and parametric gain and between dispersion and nonlinearity 17,18 . The ...