Dissipative light bullets in a doped and weakly nonlocal optical fiber

TL;DR

This paper develops a comprehensive (3+1)D nonlocal complex Ginzburg-Landau model for dissipative light bullets in doped optical fibers, analyzing their stability and demonstrating stable self-organized spatiotemporal structures through direct simulations.

Contribution

It introduces a novel extended (3+1)D nonlocal Ginzburg-Landau equation incorporating dopants and nonlocal effects, and derives a stability criterion for dissipative light bullets.

Findings

Stable dissipative light bullets are demonstrated through simulations.

A stability domain for dissipative parameters is established.

The model captures complex spatiotemporal dynamics in doped fibers.

Abstract

The letter introduces an extended (3+1)-dimensional [(3+1)D] nonlocal cubic complex Ginzburg-Landau equation describing the dynamics of dissipative light bullets in optical fiber amplifiers under the interplay between dopants and a spatially nonlocal nonlinear response. The model equation includes the effects of fiber dispersion, linear gain, nonlinear loss, fiber nonlinearity, atomic detuning, linear and nonlinear diffractive transverse effects, and nonlocal nonlinear response. A system of coupled ordinary differential equations for the amplitude, temporal, and spatial pulse widths and position of the pulse maximum, unequal wavefront curvatures, chirp parameters, and phase shift is derived using the variational technique. A stability criterion is established, where a domain of dissipative parameters for stable steady-state solutions is found. Direct integration of the proposed nonlocal evolution equation is performed, which allows us to investigate the evolution of the Gaussian beam along a doped nonlocal optical fiber, showing stable self-organized dissipative spatiotemporal light bullets.