Dissipative Vortex Solitons in Defocusing Media with Spatially Inhomogeneous Nonlinear Absorption

Abstract

In this paper, by solving a complex nonlinear Schrödinger equation, radially symmetric dissipative vortex solitons are obtained analytically and are tested numerically. We find that spatially inhomogeneous nonlinear absorption gives rise to the stability of dissipative vortex solitons in self-defocusing nonlinear medium in the presence of constant linear gain. Numerical simulation reveals the interaction effect among linear gain and nonlinear loss in the azimuthal modulation instabilities of these vortices suppression. Apart from the uniform linear gain indeed affects the stability of vortex in this media, another noticeable feature of current setup is that the steep spatial modulation of the nonlinear absorption can suppress sidelobes effectively and support stable vortex solitons in situations with uniform linear gain. Under appropriate conditions, the vortex solitons can propagate stably and feature no symmetry breaking, although the beams exhibit radical compression and amplification as they propagate.

Compression and stretching of ring vortex in a bulk nonlinear medium

“…They serve as an excellent platform for investigating nonlinear optical dynamics in multiple physical disciplines, including nonlinear optics, fluid dynamics, plasma physics, complex networks, and molecular biology. [1][2][3][4][5][6] Among dissipative solitons, the dissipative vortex [7][8][9] is noteworthy. Dissipative vortex structures with nonzero angular momenta have counterparts in nature, such as tornadoes.…”

“…Vortex solitons self-organize around the zero-strength topological singularity at their center and are characterized by topological charges. [10][11][12][13][14] A dissipative vortex with a fundamental vorticity spontaneously breaks axial symmetry due to modulation instability and can either evolve into a stable rotating ellipsoidal soliton or fragment into filaments. It is generally believed that vortex structures with high topological charges are unstable because modulation instability increases with higher vorticity.…”

Stable analytical and numerical constructed vector optical vortex solitons

“…The vortex propagates in the form of a doughnut-shaped beam. So far, there have been many progresses in the propagation of optical vortices in various types of nonlinear media [1][2][3][4][5]. According to these studies, in most cases, vortices are unstable and will decay into many more basic bright space solitons.…”