title: Noise-induced linewidth in frequency combs.
abstract: Frequency combs generated by trains of pulses emitted from mode-locked lasers are analyzed when the center time and phase of the pulses undergo noise-induced random walk, which broadens the comb lines. Asymptotic analysis and computation reveal that, when the standard deviation of the center-time jitter of the nth pulse scales as n(p/2) where p is a jitter exponent, the linewidth of the kth comb line scales as k(2/p). The linear-dispersionless (p=1) and pure-soliton (p=3) dynamics in lasers are derived as special cases of this time-frequency duality relation. In addition, the linewidth induced by phase jitter decreases with power P(out), as (P(out))(-1/p).
authors.affiliation: Department of Applied Mathematics, Unversity of Colorado, Boulder, 80309-0526, USA.
authors.forename: Mark J
authors.initials: MJ
authors.lastname: Ablowitz
authors.forename: Boaz
authors.initials: B
authors.lastname: Ilan
authors.forename: Steven T
authors.initials: ST
authors.lastname: Cundiff