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}
}
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… 

Multidimensional dissipative solitons and solitary vortices

  • B. Malomed
  • Physics
    Chaos, Solitons & Fractals
  • 2022

Vortex solitons in quasi-phase-matched photonic crystals

We report solutions for stable compound solitons supported by a three-dimensional (3D) quasi-phase-matched (QPM) photonic crystal in a medium with the quadratic ( χ (2) ) nonlinearity. The photonic

References

SHOWING 1-10 OF 75 REFERENCES

Dissipative quadratic solitons supported by a localized gain

We propose two models for the creation of stable dissipative solitons in optical media with the $\chi^{(2)}$ (quadratic) nonlinearity. To compensate spatially uniform loss in both the

Solitons pinned to hot spots

Abstract We generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a

Stable solitons of quadratic ginzburg-landau equations

A physical model based on coupled Ginzburg-Landau equations that supports stable temporal solitary-wave pulses and shows that the evolution initiated by the exact unstable solitons ends up with nontrivial stable localized pulses, which are very robust attractors.

Spatial solitons supported by localized gain in nonlinear optical waveguides

We introduce a modification of the complex Ginzburg-Landau (CGL) equation with background linear loss and locally applied gain. The equation appertains to laser cavities based on planar waveguides,

Solitons in PT -symmetric periodic systems with the quadratic nonlinearity

We introduce a one-dimensional system combining the $\mathcal{PT}$-symmetric complex periodic potential and the ${\ensuremath{\chi}}^{(2)}$ (second-harmonic-generating) nonlinearity. The imaginary

Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses.

The balance of the transverse diffraction, self-focusing, gain, and the inhomogeneous loss provides for the hitherto elusive stabilization of vortex solitons, in a large zone of the parameter space.

Spatial solitons supported by localized gain (Invited)

The creation of stable 1D and 2D localized modes in lossy nonlinear media is a fundamental problem in optics and plasmonics. This article gives a mini review of theoretical methods elaborated on for

Localized modes in chi((2)) media with PT-symmetric localized potential

We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized parity-time- (PT)-symmetric modulation of the linear refractive index. Families of stable

Exact solitary-wave solutions of chi(2) Ginzburg-Landau equations.

Direct numerical simulations of the solitons demonstrate that, as well as the classical pulse solutions to the cubic Ginzburg-Landau equation, the dissipativesolitons can propagate robustly over a considerable distance before the model's intrinsic instability leads to onset of "turbulence".

Two-dimensional solitons and clusters in dissipative lattices

We study the dynamics of two-dimensional spatial solitons in the structured optical medium modeled by the complex Ginzburg–Landau equation with cubic–quintic nonlinearity and a spatially periodic
...