Discrete-symmetry vortices as angular Bloch modes
Albert Ferrando
Abstract
The most general form for symmetric modes of nonlinear discrete-symmetry systems with nonlinearity depending on the modulus of the field is presented. Vortex solutions are demonstrated to behave as Bloch modes characterized by an angular Bloch momentum associated to a periodic variable, periodicity being fixed by the order of discrete point-symmetry of the system. The concept of angular Bloch momentum is thus introduced to generalize the usual definition of angular momentum to cases where O(2) -symmetry no longer holds. The conservation of angular Bloch momentum during propagation is demonstrated.
Create a lesson
Related papers
The Origin of Imperfection Sensitivity in the Buckling of Cylindrical Shells
Tian Yang, Tobias M. Schneider
Two-Parameter Family of Nonlinear Dirac Equations With Scalar-Scalar plus Vector-Vector Interactions
Avinash Khare, Fred Cooper, John F. Dawson et al.
Deformation of sine-Gordon two-soliton solutions in φ4 kink-antikink configurations
Aliakbar Moradi Marjaneh, Danial Saadatmand, Fabiano C. Simas et al.
Extreme Events in an Active Fluid Medium
Joydeep Das, Abhishek Chaudhuri, Sudeshna Sinha
Self-similar vector solitons for the coupled higher-order nonlinear Schrodinger equations in inhomogeneous optical fibers
Houria Triki, Vladimir I. Kruglov
Fast Synergetic Simulation to Study Slow Evolution of Soliton Patterns in Optical Resonators
Sanzida Akter, Pradyoth Shandilya, Logan Courtright et al.