| Issue |
EPJ Web Conf.
Volume 287, 2023
EOS Annual Meeting (EOSAM 2023)
|
|
|---|---|---|
| Article Number | 06028 | |
| Number of page(s) | 2 | |
| Section | Topical Meeting (TOM) 6- Nonlinear and Quantum Optics | |
| DOI | https://doi.org/10.1051/epjconf/202328706028 | |
| Published online | 18 October 2023 | |
https://doi.org/10.1051/epjconf/202328706028
Polygons of quantized vortices in nonlinear photonic waveguides
IFCAE, Universidade de Vigo, Spain
Published online: 18 October 2023
In a nonlinear optical waveguide with defocusing Kerr-type nonlinearity, we discuss the existence of a type of stationary nonlinear waves with propagation-invariant density profiles, consisting of vortices located at the vertices of a regular polygon with or without an anti-vortex at its center. These polygons rotate around the center of the system and we provide approximate expressions for their angular velocity. We have computed the evolution of the vortex structures and discuss their stability and the fate of the instabilities that can unravel the regular polygon configurations. Such instabilities can be driven by the instability of the vortices themselves, by vortex-antivortex annihilation or by the eventual breaking of the symmetry due to the motion of the vortices.
© The Authors, published by EDP Sciences, 2023
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