Rotary solitons in Bessel photonic lattices
arXiv:physics/0407012 · doi:10.1103/PhysRevLett.93.093904
Abstract
We introduce solitons supported by Bessel photonic lattices in cubic nonlinear media. We show that the cylindrical geometry of the lattice, with several concentric rings, affords unique soliton properties and dynamics. In particular, besides the lowest-order solitons trapped in the center of the lattice, we find soliton families trapped at different lattice rings. Such solitons can be set into controlled rotation inside each ring, thus featuring novel types of in-ring and inter-ring soliton interactions.
12 pages, 4 figures. to appear in Physical Review Letters
References in corpus (1)
Cited by in corpus (66)
- Anisotropic solitons in dipolar Bose-Einstein Condensates
- Stable ring vortex solitons in Bessel optical lattices
- Stable spatiotemporal solitons in Bessel optical lattices
- Defect modes in one-dimensional photonic lattices
- Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity
- Stable two-dimensional solitons in nonlinear lattices
- Matter-wave solitons in radially periodic potentials
- Vortex solitons in dipolar Bose-Einstein Condensates
- Soliton topology versus discrete symmetry in optical lattices
- Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
- Stable multi-ring and rotating solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates with a radially-periodic potential
- Solitary Waves Bifurcated from Bloch Band Edges in Two-dimensional Periodic Media
- Multipole-mode solitons in Bessel optical lattices
- Multipole-mode surface solitons
- Solitons supported by localized nonlinearities in periodic media
- Discrete-symmetry vortices as angular Bloch modes
- Families of Vortex Solitons in Periodic Media
- Shaping soliton properties in optical Mathieu lattices
- Vortex solitons in twisted circular waveguide arrays
- Two-dimensional defect modes in optically induced photonic lattices
- Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices
- Bose-Einstein condensation: Twenty years after
- Optical Vortices and Vortex Solitons
- Rotary dipole-mode solitons in Bessel photonic lattices
- Soliton spiraling in optically-induced rotating Bessel lattices
- Guiding-center solitons in rotating potentials
- Localized structures in Kagome lattices
- Vortex solitons in moire optical lattices
- Vortex-ring quantum droplets in a radially-periodic potential
- Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays
- Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
- Multilayered Vortices
- Brownian soliton motion
- Dipole and quadrupole solitons in optically-induced two-dimensional defocusing photonic lattices
- Highly-asymmetric soliton complexes in parabolic optical lattices
- Rotating surface solitons
- Reconfigurable soliton networks optically-induced by arrays of nondiffracting Bessel beams
- Solitons and vortices in honeycomb defocusing photonic lattices
- Multiplexing complex two-dimensional photonic superlattices
- Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media
- Localized modes in dissipative lattice media: An overview
- Existence and stability of multisite breathers in honeycomb and hexagonal lattices
- A ring accelerator for matter-wave solitons
- Two-dimensional symbiotic solitons and vortices in binary condensates with attractive cross-species interaction
- Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: theoretical analysis, numerical computation and experimental results
- Stabilization of three--dimensional light bullets by a transverse lattice in a Kerr medium with dispersion management
- Reconfigurable directional couplers and junctions optically induced by nondiffracting Bessel beams
- Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling
- Multidimensional semi-gap solitons in a periodic potential
- Composite vortex-ring solitons in Bessel photonic lattices
- Interlaced solitons and vortices in coupled DNLS lattices
- Topological dragging of solitons
- On the existence of optical vortex solitons propagating in saturable nonlinear media
- Manipulating the internal structure of Bloch walls
- Swinging of two-dimensional solitons in harmonic and Bessel optical lattices
- Stripe-like quasi-nondiffracting optical lattices
- Solitons in spiraling Vogel lattices
- Rotating and spiralling spatial dissipative solitons of light and cold atoms
- Ring modes supported by concentrated cubic nonlinearity
- Ultraslow Helical Optical Bullets and Their Acceleration in Magneto-Optically Controlled Coherent Atomic Media
- Band structure and reflectance for a nonlinear one-dimensional photonic crystal
- Matter-wave soliton control in optical lattices with topological dislocations
- Two-dimensional gap solitons in elliptic-lattice potentials
- Rotating surface soliton complexes in annular waveguides
- Soliton shape and mobility control in optical lattices
- New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter