Fig. 3: Dependence of modelocking on the modulation frequency.

The long-term intensity of pulses averaged over few modulation periods is displayed. Numerical results from the CME (Eq. (20)) are shown in (a) for different values of the modulator detuning \(\Delta ={T}_{{\rm{M}}}^{-1}-{T}_{{\rm{R}}}^{-1}\), and compared to the experimental results in (b) for different values of the modulation frequency \({T}_{{\rm{M}}}^{-1}\), showing good agreement. For reference, the results obtained from Haus theory are shown in (c). The CME captures an essential feature of modelocking observed in experiment, namely the asymmetric effect of the detuning which is absent in Haus theory. The parameters used in (a) and (c) are \({\Omega }_{{\rm{G}}}=1{0}^{13}\) s\(^{-1}\), \({T}_{{\rm{R}}}=1.155\) ns, \(\ell =0.6\), \(M=1.2\), \(r=1.3\) and \({T}_{{\rm{G}}}=0.75\) ns.