Rotation-managed dissipative solitons

TL;DR

This paper investigates how rotating or oscillating localized gain landscapes influence the formation and stability of dissipative solitons in nonlinear optical media, revealing conditions for stable oscillating solitons and their decay thresholds.

Contribution

It introduces the concept of rotation-managed gain landscapes and analyzes their effect on dissipative soliton stability in nonlinear optics.

Findings

Effective gain decreases with increased oscillation amplitude or rotation frequency.

Stable oscillating solitons exist below certain oscillation amplitude and frequency thresholds.

Beyond thresholds, all input beams decay due to loss of stable attractors.

Abstract

We show that when spatially localized gain landscape performs accelerated motion in the transverse plane, i.e., when it rotates or oscillates around the light propagation axis, the effective gain experienced by the light beam considerably reduces with increase of the amplitude of oscillations or frequency of rotation of the localized gain. In the presence of uniform background losses and defocusing nonlinearity, such gain landscapes may support dynamically oscillating gain-managed solitons, but if the amplitude of oscillations or the frequency of rotation of the localized gain exceeds a threshold, stable attractors disappear and any input beam decays.