Numerical analysis of the stability of optical bullets (2 + 1) in a planar waveguide with cubic–quintic nonlinearity

Abstract

In this paper, we have presented a numerical analysis of the stability of optical bullets (2 + 1), or spatiotemporal solitons (2 + 1), in a planar waveguide with cubicquintic nonlinearity. The optical spatiotemporal solitons are the result of the balance between the nonlinear parameters, of dispersion (dispersion length, L D ) and diffraction (diffraction length, L d ) with temporal and spatial auto-focusing behavior, respectively. With the objective of ensure the stability and preventing the collapse or the spreading of pulses, in this study we explore the cubic-quintic nonlinearity with the optical fields coupled by cross-phase modulation and considering several values for the non linear parameter α We have shown the existence of stable light bullets in planar waveguide with cubic-quintic nonlinearity through the study of spatiotemporal collisions of the light bullets.

Spatiotemporal optical solitons in planar waveguide with periodically modulated cubic-quintic nonlinearity

“…Basic analysis of the propagation of multidimensional pulses, involving the slowly varying envelope approximation, predicts instability. Such pulses are categorized as "1+2" and "1+3" cases, depending on whether diffraction is limited to one dimension, as in a planar waveguide, or to two, as in a bulk medium (Eisenberg et al 2001;Boyd 1992;Silberberg 1990;Fraga et al 2009). The interest in optical spatiotemporal solitons is because of their potential applications in ultra fast all-optical switching.…”