0000000000422407

AUTHOR

Anton S. Desyatnikov

showing 2 related works from this author

All-optical discrete vortex switch

2011

We introduce discrete vortex solitons and vortex breathers in circular arrays of nonlinear waveguides. The simplest vortex breather in a four-waveguide coupler is a nonlinear dynamic state changing its topological charge between $+1$ and $\ensuremath{-}1$ periodically during propagation. We find the stability domain for this solution and suggest an all-optical vortex switching scheme.

PhysicsBreatherPhysics::OpticsNonlinear opticsAtomic and Molecular Physics and OpticsVortexNonlinear systemCondensed Matter::SuperconductivityElectrical equipmentQuantum mechanicsDomain (ring theory)Phase conjugationNonlinear Sciences::Pattern Formation and SolitonsTopological quantum numberPhysical Review A
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Discrete-ring vortex solitons

2010

We study analytically and numerically the existence and stability of discrete vortex solitons in the circular arrays of nonlinear optical waveguides, governed by the discrete nonlinear Schrodinger equation. Stable vortex breathers with periodically oscillating topological charge are identified and a continuous interpolating map is constructed which allows to recover trajectories of individual phase dislocations in the form of hyperbolic avoided crossings.

PhysicsNonlinear systemsymbols.namesakeElectromagneticsClassical mechanicsBreathersymbolsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationTopological quantum numberNumerical stabilityVortexSchrödinger equation2010 International Conference on Mathematical Methods in Electromagnetic Theory
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