31 research outputs found
Soliton-comb structures in ring-shaped optical microresonators: generation, reconstruction and stability
Characteristic features of soliton-comb structures in optical microresonators
are investigated in normal and anomalous dispersion regimes, when the detuning
parameter is varied over a broad range of values. The study rests on the
assumption that soliton combs are self-organized ensemble of co-propagating
coherently entangled states of light, and depending on the group-velocity
dispersion they can result from space-division multiplexing of single-bright
and single-dark solitons. Their analytical and numerical reconstruction schemes
are discussed, while a linear-stability analysis leads to a Lam\'e
eigenvalue problem whose boundstate spectrum is composed of a Goldstone-type
translation mode and stable internal modes, as well as unstable decaying modes
and growing modes. A power-spectral analysis of the three distinct possible
soliton crystals enables us probe their inner structures in the frequency
domain, and unveil the existence of structural defects in their power spectra.Comment: 19 pages, 9 figures, submitte
Analytical calculation of the Peierls-Nabarro pinning barrier for one-dimensional parametric double-well models
Lattice effects on the kink families of two models for one-dimensional
nonlinear Klein-Gordon systems with double-well on-site potentials are
considered. The analytical expression of the generalized Peierls-Nabarro
pinning potential is obtained and confronted with numerical simulations.Comment: RevTex, 10 pages, 4 figure