Fermionic out-of-plane structure of polarization singularities

Abstract

A new classification of circular polarization C points in three-dimensional polarization ellipse fields is proposed. The classification type depends on the out-of-plane variation of the polarization ellipse axis, in particular, whether the ellipse axes are in the plane of circular polarization one or three times. A minimal set of parameters for this classification are derived, and discussed in the context of the familiar in-plane C point classification into lemon, star, and monstar types. This new geometric classification is related to the Möbius index of polarization singularities recently introduced by Freund.

3 pages, Optics Letters style

References in corpus (3)

• Polarization singularity anisotropy: determining monstardom
• Optical Mobius Strips in Three Dimensional Ellipse Fields: Lines of Circular Polarization
• Optical M0bius Strips in Three Dimensional Ellipse Fields: Lines of Linear Polarization

Cited by in corpus (7)

• Paraxial Skyrmionic beams
• Optical Polarization Möbius Strips and Points of Purely Transverse Spin Density
• Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects
• Geometric descriptions for the polarization for nonparaxial optical fields: a tutorial
• Theory of paraxial optical Skyrmions
• Polarization singularities and Möbius strips in sound and water-surface waves
• Time reversal constraint limits unidirectional photon emission in slow-light photonic crystals