Figure 3. Faraday instability spectrum and pulses repetition rate.

(a) The parametric resonance tongues of the Faraday instability are revealed by the Floquet linear stability analysis, which takes into account the growth process of perturbations in modulated systems over one modulation period and allows the calculation of the frequency-dependent growth exponents (instability spectrum). At variance with what happens in the BF instability, the frequency of the most unstable mode is a decreasing function of the pump power and this is a genuine feature of parametric instabilities in the net normal dispersion regime. The gain maximum is emphasized by the black line. (b) The results of numerical simulations. Pulse shape and repetition rates are in a good agreement with the experiment. (c) The scaling of repetition rate with power for the numerical simulations, experiment and the prediction of the stability analysis.