Swinging of two-dimensional solitons in harmonic and Bessel optical lattices

Kerr非线性介质中具有方位调制贝塞尔势的多环项链涡旋孤子

Multi-ring necklace vortex solitons in Kerr nonlinear media with azimuthally modulated Bessel potentials

在Kerr非线性介质中，通过方位调制贝塞尔势实现多环涡旋项链孤子的稳定生成，为复杂光场操控提供新途径。

Composite vortex-ring solitons in Bessel photonic lattices

We reveal the existence of dynamically stable composite topological solitons in Bessel photonic lattices imprinted in focusing Kerr-type nonlinear media. The new stable composite solitons are made of a vortex-ring with unit topological charge incoherently coupled to a fundamental soliton. The stabilization of the otherwise highly azimuthally unstable vortex-rings is provided under suitable conditions, which we study in detail, by cross-phase-modulation coupling with the fundamental soliton companion.

Stable ring vortex solitons in Bessel optical lattices

Stable ring vortex solitons, featuring a bright-shape, appear to be very rare in nature. However, here we show that they exist and can be made dynamically stable in defocusing cubic nonlinear media with an imprinted Bessel optical lattice. We find the families of vortex lattice solitons and reveal their salient properties, including the conditions required for their stability. We show that the higher the soliton topological charge, the deeper the lattice modulation necessary for stabilization.

Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices

We address azimuthally modulated Bessel optical lattices imprinted in focusing cubic Kerr-type nonlinear media, and reveal that such lattices support different types of stable solitons, whose complexity increases with growth of lattice order. We reveal that the azimuthally modulated lattices cause single solitons launched tangentially to the guiding rings to jump along consecutive sites of the optical lattice. The position of the output channel can be varied by small changes of the launching angle.

On the Generation of Topological Vector Solitons from Bessel Like Beams

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle--like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical material induced by the light intensity. We've discovered that the second harmonic intensity profile generated by Bessel like beams, is composed of solitons of various geometries surrounded by concentric rings; one of which is two central solitons of similar radius knotted by ellipsoidal concentric rings. We observe that their geometry and intensity distributio…

On the Generation of Topological Vector Solitons from Bessel-Like Beams

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle-like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical material induced by the light intensity. We've discovered that the second harmonic intensity profile generated by Bessel-like beams, is composed of solitons of various geometries surrounded by concentric rings; one of which is two central solitons of similar radius knotted by ellipsoidal concentric rings. We observe that their geometry and intensity distribution…

Shaping soliton properties in optical Mathieu lattices

We address basic properties and stability of two-dimensional solitons in photonic lattices induced by the nondiffracting Mathieu beams. Such lattices allow for smooth topological transformation of radially symmetric Bessel lattices into quasi-one-dimensional periodic ones. The transformation of lattice topology drastically affects properties of ground-state and dipole-mode solitons, including their shape, stability and transverse mobility.

Control of light-atom solitons and atomic transport by optical vortex beams propagating through a Bose-Einstein Condensate

We model propagation of far-red-detuned optical vortex beams through a Bose-Einstein Condensate using nonlinear Schrödinger and Gross-Pitaevskii equations. We show the formation of coupled light/atomic solitons that rotate azimuthally before moving off tangentially, carrying angular momentum. The number, and velocity, of solitons, depends on the orbital angular momentum of the optical field. Using a Bessel-Gauss beam increases radial confinement so that solitons can rotate with fixed azimuthal velocity. Our model provides a highly controllable method of channelling a BEC and atomic transport.