Replication of dissipative vortices modeled by the complex Ginzburg-Landau equation

TL;DR

This paper demonstrates how specific localized potentials can replicate two-dimensional dissipative vortices and solitons modeled by the complex Ginzburg-Landau equation, which is promising for optical information systems.

Contribution

It introduces a method to replicate dissipative vortices and solitons via scattering on a tailored potential in the complex Ginzburg-Landau model, enabling control over their waveforms.

Findings

A simple finite potential can split vortices into multiple copies.

Replication preserves the amplitude levels of the structures.

The method is effective for two-dimensional localized structures.

Abstract

Dissipative vortices are stable two-dimensional localized structures existing due to balance between gain and loss in nonlinear systems far from equilibrium. Being resistant to the dispersion and nonlinear distortions they are considered as promising information carriers for new optical systems. The key challenge in the development of such systems is getting control over vortex waveforms. In this paper we report on replication of two-dimensional fundamental dissipative solitons and vortices due to their scattering on a locally applied potential in the cubic-quintic complex Ginzburg-Landau equation. It has been found that an appropriate potential non-trivially splits both fundamental solitons and vortices into a few exact copies without losing in their amplitude levels. A remarkably simple potential having a finite supporter along the longitudinal coordinate and a double peaked dependence on a single transverse coordinate is found to be suitable for the replication of the two-dimensional localized structures.