Anomalous multi-ramp fractional vortex beams with arbitrary topological charge jumps
Jun Zeng, Hao Zhang, Zhiheng Xu, Chengliang Zhao, Yangjian Cai, Greg Gbur
Abstract
Traditional fractional vortex beams are well-known “jump” beams: that is, their net topological charge jumps by unity as the effective topological charge of the source passes a half-integer value. Here, we propose an anomalous multi-ramp fractional vortex (AMRFV) beam. Unlike the traditional fractional vortex beams, an AMRFV beam can be designed to have arbitrary jumps in topological charge at any critical threshold of the source charge. We walk through some examples of AMRFV beams using simulations and present a clear interpretation of the multi-jump characteristic based on the evolution of phase singularities.
Topics & Concepts
Topological quantum numberPhysicsVortexCharge (physics)Beam (structure)Interpretation (philosophy)Topology (electrical circuits)Phase (matter)Topological defectRandom walkNet (polyhedron)Quantum electrodynamicsSymmetry protected topological orderCharge densityQuantum mechanicsCondensed matter physicsTopological orderClassical mechanicsOrbital Angular Momentum in OpticsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic Systems