18 research outputs found
Interaction of two modulational instabilities in a semiconductor resonator
The interaction of two neighboring modulational instabilities in a coherently driven semiconductor cavity is investigated. First, an asymptotic reduction of the general equations is performed in the limit of a nearly vertical input-output characteristic. Next, a normal form is derived in the limit where the two instabilities are close to one other. An infinity of branches of periodic solutions are found to emerge from the unstable portion of the homogeneous branch. These branches have a nontrivial envelope in the bifurcation diagram that can either smoothly join the two instability points or form an isolated branch of solutions
Spatial Solitons and Anderson Localization
Stochastic (Anderson) localization is the spatial localization of the
wave-function of quantum particles in random media. We show, that a
corresponding phenomenon can stabilize spatial solitons in optical resonators:
spatial solitons in resonators with randomly distorted mirrors are more stable
than in perfect mirror resonators. We demonstrate the phenomenon numerically,
by investigating solitons in lasers with saturable absorber, and analytically
by deriving and analyzing coupled equations of spatially coherent and
incoherent field components.Comment: submitted to Phys.Rev.
Selfsimilar Domain Growth, Localized Structures and Labyrinthine Patterns in Vectorial Kerr Resonators
We study domain growth in a nonlinear optical system useful to explore
different scenarios that might occur in systems which do not relax to
thermodynamic equilibrium. Domains correspond to equivalent states of different
circular polarization of light. We describe three dynamical regimes: a
coarsening regime in which dynamical scaling holds with a growth law dictated
by curvature effects, a regime in which localized structures form, and a regime
in which polarization domain walls are modulationally unstable and the system
freezes in a labyrinthine pattern.Comment: 13 pages, 6 figure
Spontaneous motion of localized structures and localized patterns induced by delayed feedback
Spontaneous motion of localized structures and localized patterns induced by delayed feedback
info:eu-repo/semantics/publishe
Soliton lasers stabilized by coupling to a resonant linear system
Separation into spectral and nonlinear complex-eigenvalue problems is shown to be an effective and flexible approach to soliton laser models. The simplest such model, a complex Ginzburg-Landau model with cubic nonlinearity, has no stable solitonic solutions. We show that coupling it to a resonant linear system is a simple and general route to stabilization, which encompasses several previous instances in both space- and time-domains. Graphical solution in the complex eigenvalue plane provides valuable insight into the similarities and differences of such models, and into the interpretation of related experiments. It can also be used predictively, to guide analysis, numerics and experiment
Static and dynamic properties of cavity solitons in VCSELs with optical injection
The static and dynamical properties of cavity solitons in a vertical cavity surface emitting laser with optical injection are investigated. Analytical results about the instabilities affecting the homogeneous steady state are presented. These instabilities play a key role in the determination of the necessary and favorable conditions for cavity soliton existence. Optimization of an all-optical delay line by tuning the injected field frequency leads to a five fold increase of the soliton velocity in the transverse plane. Finally, the phenomenon of cavity soliton merging is applied to combine input signals in optical information processing and to manipulate two dimensional optical memories