title: Modulational instability in a passive fiber cavity, revisited.
abstract: Modulation instability in a passive fiber cavity is revisited. We address the problem in the statement with a continuous-time Ikeda map, rather than in the mean-field limit. It is found that plane wave solutions are unstable for both normal and anomalous dispersion regimes of an optical fiber. The origin of the instability in the continuous-time Ikeda map is in the mode mixing introduced by the beam splitter. The obtained conditions for the instability were compared with ones known for the discrete-time Ikeda map, showing appreciable difference, which, however reduces in the mean-field limit.
authors.affiliation: Centro de Física Teórica e Computacional and Departamento de Física, Universidade de Lisboa, Avenida Professor Gama, Pinto 2, Lisboa 1649-003, Portugal. zezyulin@cii.fc.ul.pt
authors.forename: D A
authors.initials: DA
authors.lastname: Zezyulin
authors.forename: V V
authors.initials: VV
authors.lastname: Konotop
authors.forename: M
authors.initials: M
authors.lastname: Taki