# Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain

@article{Lobanov2022FundamentalAV,
title={Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain},
author={Valery E. Lobanov and Aleksey A. Kalinovich and Olga V. Borovkova and Boris A. Malomed},
journal={Physical Review A},
year={2022}
}
• Published 5 January 2022
• Physics
• Physical Review A
We consider settings providing the existence of stable two-dimensional (2D) dissipative solitons with zero and nonzero vorticity in optical media with the quadratic (   2  ) nonlinearity. To compensate the spatially uniform loss in both the fundamental-frequency (FF) and secondharmonic (SH) components of the system, a strongly localized amplifying region (“hot spot”, HS), carrying the linear gain, is included, acting onto either the FF component or SH one. In both cases, the Gaussian radial…
2 Citations

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