Hybrid order Poincaré spheres for Stokes singularities
Gauri Arora, RUCHI RUCHI, P. Senthilkumaran
Abstract
Hybrid order Poincaré spheres to represent more general Stokes singularities are presented. Polarization singularities form a subset of Stokes singularities, and therefore induction of these spheres brings completeness. The conventional understanding of Poincaré beams as hybrid order Poincaré sphere beams is also expanded to include more beams. Construction and salient properties of these spheres are explained with illustrations to show their ability to represent more exotic Poincaré beams that have zero total helicity irrespective of their size. Pancharatnam-Berry geometric phase formulation using these new spheres is also possible.
Topics & Concepts
SPHERESGravitational singularityHelicityPhysicsPolarization (electrochemistry)Geometric phasePoincaré conjectureOptical vortexClassical mechanicsOpticsBeam (structure)Quantum mechanicsMathematical physicsChemistryAstronomyPhysical chemistryOrbital Angular Momentum in OpticsMicro and Nano RoboticsFluid Dynamics Simulations and Interactions