Fig. 4: Variance of orbital deviation of the intra-cavity field.

The figure shows the results of a bright soliton (Comb 1), b dark soliton (Comb 2), c roll pattern of order L = 1 (Comb 3), and d roll pattern of order L = 4 (Comb 4) displayed in Fig. 2 as a function of the sidemode order l, respectively. The thick gray curves correspond to analytical results obtained from Eqs. (42), (66), and (67), while the thin red curves result from the simulations of Eq. (1). One can note the excellent agreement between analytical and numerical results.