We have generated frequency combs spanning 0.5 to 20 GHz in superconducting λ/2-resonators at T = 3 K. Thin films of niobium-titanium nitride enabled this development due to their low loss, high nonlinearity, low frequency-dispersion, and high critical temperature. The combs nucleate as sidebands around multiples of the pump frequency. Selection rules for the allowed frequency emission are calculated using perturbation theory and the measured spectrum is shown to agree with the theory. Sideband spacing is measured to be accurate to 1 part in 10 8 . The sidebands coalesce into a continuous comb structure observed to cover at least 6 octaves in frequency.PACS numbers: 07.57. Kp,03.67.Lx,74.25.nn,85.25.Oj,85.25.Pb Keywords: superconducting, resonator, frequency comb, broadband, RF, microwave Frequency combs in the optical regime have become extremely useful in a wide range of applications including spectroscopy and frequency metrology [1][2][3]. Recently, it was found that a strongly pumped, high-Q optical microcavity made from a nonlinear medium generates sidebands due to a combination of degenerate and nondegenerate four-wave mixing (FWM) [4][5][6] that cascade into a broadband frequency comb of photon energies in the regime of hundreds of THz. The peaks of these combs are extremely narrow and appear at frequencies dictated by selection rules for photon energy and momentum conservation. These devices are attractive because they have very narrow linewidths, are relatively simple, highly stable and controllable [7][8][9], and can be divided down into the GHz range to achieve very accurate frequency references. However, the microcavities, typically consisting of toroidal silica structures [10], need to be pumped with high laser powers because of their intrinsically weak χ(3) optical Kerr nonlinearity. In addition, output over much more than a single octave in frequency is difficult to obtain from these structures due to frequency dispersion from material and geometric factors, which make the modes non-equidistant.These Kerr combs continue to be the focus of extensive theoretical analysis to understand the nonlinear dynamics that give rise to their threshold of stability, mechanism of cascade, amplitude of responsiveness, and maximum spectral bandwidth [11][12][13][14][15]. Generation of these combs directly in the 1-20 GHz range would further simplify the instrumentation and potentially elucidate the dynamics involved by making them more accessible to direct measurement.In the current work we transfer the nonlinear pumped cavity concept to the microwave regime in superconducting resonators and demonstrate broadband frequency comb generation over multiple octaves. This is achieved using niobium-titanium nitride (NbTiN) thin films and exploiting (i) the high quality factor Q > 10 7 for a strong drive [16,17], (ii) the large nonlinear kinetic inductance, and (iii) the lack of frequency dispersion [18]. The ki-FIG. 1. Artist's rendition (not to scale) of the superconducting frequency comb chip. The 25 cm long, λ/2 r...