Partially coherent vortex beams of arbitrary radial order and a van Cittert–Zernike theorem for vortices
Yongtao Zhang, Yangjian Cai, Greg Gbur
Abstract
The orbital angular momentum properties of beams having an arbitrary degree of coherence for any radial and azimuthal order are analyzed. A generalized analytic solution is determined and the vortex structure on propagation is found to reconstruct itself, an effect that can be considered as a vortex supplement to the van Cittert--Zernike theorem.
Topics & Concepts
VortexPhysicsAngular momentumZernike polynomialsOrder (exchange)AzimuthCoherence (philosophical gambling strategy)Classical mechanicsMathematical physicsQuantum mechanicsOpticsMechanicsWavefrontFinanceEconomicsOrbital Angular Momentum in OpticsSperm and Testicular FunctionPlasmonic and Surface Plasmon Research