Soliton Shape and Mobility Control in Optical Lattices

Abstract

We present a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices. Optical lattices offer the possibility to engineer and to control the diffraction of light beams in media with periodicallymodulated optical properties, to manage the corresponding reflection and transmission bands, and to form specially designed defects. Consequently, they afford the existence of a rich variety of new families of nonlinear stationary waves and solitons, lead to new rich dynamical phenomena, and offer novel conceptual opportunities for all-optical shaping, switching and routing of optical signals encoded in soliton formats. In this overview, we consider reconfigurable optically-induced lattices as well as waveguide arrays made in suitable nonlinear materials. We address both, one-dimensional and multi-dimensional geometries.We specially target the new possibilities made possible by optical lattices induced by a variety of existing non-diffracting light patterns, we address nonlinear lattices and soliton arrays, and we briefly explore the unique features exhibited by light propagation in defect modes and in random lattices, an area of current topical interest and of potential crossdisciplinary impact.

Características de la producción científica de instituciones de Puebla indexada en la Web of Science

“…En uno de ellos (Szameit et al, 2009) (32/33/35 citas), los autores reportan que los fenómenos resonantes accesibles en estructuras moduladas longitudinalmente abren nuevas maneras para el control de la propagación de la luz. Mientras que en los otros dos textos -72/83/85 citas (Kartashov et al, 2009b) y 28/31/33 (Kartashov et al, 2009a) citas, respectivamente-analizan las características y propiedades de solitones en retículos ópticos. El Hospital para el Niño Poblano (HNP) es una institución de asistencia a la salud y dedicado a la formación de recursos humanos fomentando la investigación.…”

Stable Higher-Charged Vortex Solitons in Optically-Induced Lattices

“…Different types of vortex solitons, such as discrete vortices [21], vortex-ring "discrete" solitons [28], and second-band vortices [22] were observed in experiments. For a review of early works, see [5,29,30] and references therein.…”

Solitons in geometric potentials

“…4(b)]. This is in drastic contrast to the case of periodic waveguiding systems where the height of the effective potential barrier preventing solitons from motion in the transverse plane usually rapidly grows with U [10,11]. One can suppose that cr 0   when the energy flow of the solitons approaches the Townes soliton energy T 5.85 U  at b   .…”