Localized dispersive states in nonlinear coupled mode equations for light propagation in fiber Bragg gratings

TL;DR

This paper discovers and analyzes a new family of dispersive localized pulses in fiber Bragg gratings, highlighting the role of transport and dispersion effects in their stability and formation.

Contribution

It introduces a novel class of localized pulses in nonlinear coupled mode equations, emphasizing the impact of asymptotic transport-dispersion imbalance.

Findings

Numerically found dispersive localized pulses propagating at group velocity.

Analyzed stability of these localized states.

Highlighted the importance of transport-dispersion asymptotic imbalance.

Abstract

Dispersion effects induce new instabilities and dynamics in the weakly nonlinear description of light propagation in fiber Bragg gratings. A new family of dispersive localized pulses that propagate with the group velocity is numerically found and its stability is also analyzed. The unavoidable different asymptotic order of transport and dispersion effects plays a crucial role in the determination of these localized states. These results are also interesting from the point of view of general pattern formation since this asymptotic imbalance is a generic situation in any transport dominated (i.e., nonzero group velocity) spatially extended system.