arXiv subjects

Maria I. Rodas-Verde

Publications and source records attributed to Maria I. Rodas-Verde.

3 recordsLinked to original sources

arXiv2006

Lattice hyper-solitons in photorrefractive materials

We show a novel kind of nonlinear waves in two-dimensional photonic lattices. This waves take the form of light clusters that may fill an arbitrary number of lattice sites. We have demonstrated by numerical simulations that stable propagation can be achieved under adequate conditions and we have described the unstable patterns developed otherwise. Our results show that these new kind of nonlinear waves can be easily found in current experiments.

nlin.PS↗

arXiv2004

n-body dynamics of stabilized vector solitons

In this work we study the interactions between stabilized Townes solitons. By means of effective Lagrangian methods, we have found that the interactions between these solitons are governed by central forces, in a first approximation. In our numerical simulations we describe different types of orbits, deflections, trapping and soliton splitting. Splitting phenomena are also described by finite dimensional reduced models. All these effects could be used for potential applications of stabilized solitons.

nlin.PS↗

arXiv2004

Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion

We propose the modulation of dispersion to prevent collapse of planar pulsed beams which propagate in Kerr-type self-focusing optical media. As a result, we find a new type of two-dimensional spatio-temporal solitons stabilized by dispersion management. We have studied the existence and properties of these solitary waves both analytically and numerically. We show that the adequate choice of the modulation parameters optimizes the stabilization of the pulse.

nlin.PS↗