Geometric descriptions for the polarization for nonparaxial optical fields: a tutorial
arXiv:2008.02720 · doi:10.1364/AOP.475491
Abstract
This tutorial provides an overview of the local description of polarization for nonparaxial light, for which all Cartesian components of the electric field are significant. The polarization of light at each point is characterized by a component vector in the case of full polarization or by a polarization matrix for partial polarization. Standard concepts for paraxial polarization like the degree of polarization, the Stokes parameters and the Poincaré sphere then have generalizations for nonparaxial light that are either not unique or not trivial. This work aims to clarify some of these discrepancies, present some new concepts, and provide a framework that highlights the similarities and differences with the description for the paraxial regimes. Particular emphasis is placed on geometric interpretations.
arXiv comment72 pages, 19 figures
References in corpus (39)
- Spin-orbit interactions of light
- Chiral Quantum Optics
- Transverse and longitudinal angular momenta of light
- Optical skyrmions in evanescent electromagnetic fields
- The Bloch Vector for N-Level Systems
- Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Paraxial Skyrmionic beams
- Particle-like topologies in light
- Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects
- Knotting fractional-order knots with the polarization state of light
- Invariant indices of polarimetric purity. Generalized indices of purity for nxn covariance matrices
- Twist of generalized skyrmions and spin vortices in a polariton superfluid
- Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization
- Birefringent Fourier filtering for single molecule Coordinate and Height super-resolution Imaging with Dithering and Orientation
- Singular knot bundle in light
- Optical Mobius Strips in Three Dimensional Ellipse Fields: Lines of Circular Polarization
- A ray-optical Poincaré sphere for structured Gaussian beams
- Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
- Observation of polarization singularities and topological textures in sound waves
- Swings and roundabouts: Optical Poincaré spheres for polarization and Gaussian beams
- Geometric phases of light: insights from fibre bundle theory
- Interpretation of the coherency matrix for three-dimensional polarization states
- Fermionic out-of-plane structure of polarization singularities
- A three-dimensional degree of polarization based on Rayleigh scattering
- Fundamental Limits on Measuring the Rotational Constraint of Single Molecules using Fluorescence Microscopy
- Measures of Quantum State Purity and Classical Degree of Polarization
- Measuring geometric phase without interferometry
- Knotted Polarizations and Spin in 3D Polychromatic Waves
- Generalized Gaussian beams in terms of Jones vectors
- Majorization and Measures of Classical Polarization in Three Dimensions
- An intuitive approach to structuring the three polarization components of light
- Center-of-mass interpretation for bipartite purity analysis of -party entanglement
- Poincaré sphere representation for spatially varying birefringence
- Classical distinguishability as an operational measure of polarization
- 3D stochastic interferometer detects picometer deformations and minute dielectric fluctuations of its optical volume
- Three-Dimensional Nonlinear Stokes - Mueller Polarimetry
- Parametrization of 3x3 unitary matrices based on polarization algebra
- 4D topological textures in light
Cited by in corpus (12)
- Chiral topological light for detecting robust enantio-sensitive observables
- Customized optical chirality of vortex structured light through state and degree of polarization control
- Nonlinear vortex dichroism in chiral molecules
- Topological-charge-dependent dichroism and birefringence of optical vortices
- Spin angular momentum and optical chirality of Poincaré vector vortex beams
- Bridging Coherence Optics and Classical Mechanics -- A Universal Light Polarization-Entanglement Complementary Relation
- On the orbit-induced spin density of tightly focused optical vortex beams: ellipticity and helicity
- Spectral Bounds on Entropy and Ergotropy via Statistical Effective Temperature in Classical Polarization and Quantum Thermal States
- Generating optical angular momentum through wavefront curvature
- Intrinsic Meron Spin Textures in Generic Focused Fields
- Unfolding unstable skyrmionic polarization textures
- Non-diffracting meronic spin defects of light