# Fermionic out-of-plane structure of polarization singularities.

@article{Dennis2011FermionicOS, title={Fermionic out-of-plane structure of polarization singularities.}, author={Mark R. Dennis}, journal={Optics letters}, year={2011}, volume={36 19}, pages={ 3765-7 } }

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 is derived and discussed in the context of the familiar in-plane C point classification into lemon, star, and monstar types. This…

## 30 Citations

Mapping of all polarization-singularity C-point morphologies

- PhysicsPhotonics West - Optoelectronic Materials and Devices
- 2014

We present theoretical descriptions and measurements of optical beams carrying isolated polarization-singularity C-points. Our analysis covers all types of C-points, including asymmetric lemons,…

Space-variant polarization patterns of non-collinear Poincaré superpositions

- PhysicsPhotonics West - Optoelectronic Materials and Devices
- 2015

We present analysis and measurements of the polarization patterns produced by non-collinear superpositions of Laguerre-Gauss spatial modes in orthogonal polarization states, which are known as…

Polarization Möbius strips on elliptical paths in three-dimensional optical fields.

- PhysicsOptics letters
- 2020

Polarization Möbius strips on elliptical paths surrounding lines of circular polarization in fully three-dimensional fields are studied to find that as the eccentricity, azimuthal orientation, or centering of the path changes, right-handed MöBius strips can change into left-handed ones, and vice versa.

Multitwist Möbius Strips and Twisted Ribbons in the Polarization of Paraxial Light Beams

- PhysicsScientific Reports
- 2017

The non-collinear superposition of two unfocused paraxial light beams when one of them carried an optical vortex and the other one a uniform phase front was examined, both in orthogonal states of circular polarization produced space-variant patterns of polarization.

Monstar disclinations in the polarization of singular optical beams.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2017

It is found that kinks in otherwise smooth line patterns of asymmetric disclinations are scars of a separate but related pattern of line-slope discontinuities, carried optically by C-lines in the far field.

New approach to plot polarization singularity lines of electromagnetic fields in nonparaxial optics

- MathematicsLaser Physics Letters
- 2020

In this work, we suggest a new algorithm for plotting the singularity lines of an electromagnetic field, which uses its derivatives in a certain area of space and the position of a single point…

Geometric descriptions for the polarization for nonparaxial optical fields: a tutorial.

- Physics
- 2020

This article provides an overview of the local description of polarization for nonparaxial fields, for which all Cartesian components of the vector field are significant. The polarization of light at…

Optical singularities and Möbius strip arrays in tailored non-paraxial light fields.

- PhysicsOptics express
- 2019

This work numerically demonstrate the customization of such complex topological structures by controlling generic polarization singularities in non-paraxial light fields by tightly focusing tailored higher-order vector beams in combination with phase vortices.

Generation of U and P Singularities in Partially Coherent Beams Using Intensity Control

- Physics, Mathematics
- 2017

It is shown that polarization singularities of a new type, namely U and P singularities, arise at the transverse cross section of a partially coherent beam, instead of the common singularities such…

## References

SHOWING 1-10 OF 18 REFERENCES

Polarization singularities in paraxial vector fields: morphology and statistics

- Physics, Mathematics
- 2002

Polarization singularity anisotropy: determining monstardom.

- PhysicsOptics letters
- 2008

C points, that is, isolated points of circular polarization in transverse fields of varying polarization, are classified morphologically into three distinct types known as lemons, stars, and…

Polarization singularities in isotropic random vector waves

- PhysicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2001

Following Nye & Hajnal, we explore the geometry of complex vector waves by regarding them as a field of polarization ellipses. Singularities of this field are the C lines and L lines, where the…

Lines of circular polarization in electromagnetic wave fields

- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1983

A monochromatic fully polarized electromagnetic wave propagating in free space possesses, in general, two families of singular lines (C lines) on which the transverse field is circularly polarized.…

Polarization singularities in 2D and 3D speckle fields.

- PhysicsPhysical review letters
- 2008

The results confirm previous analytical predictions regarding the statistical distribution of types of C points and relate their 2D properties to their 3D structure.

Phase singularities in isotropic random waves

- PhysicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2000

The singularities of complex scalar waves are their zeros; these are dislocation lines in space, or points in the plane. For waves in space, and waves in the plane (propagating in two dimensions, or…

Umbilic points on Gaussian random surfaces

- Mathematics
- 1977

An umbilic point U on a surface Sigma is a place where the two principal curvatures of Sigma are equal. U is a singularity of Sigma in three different senses: (i) it is the source of elliptic (E) or…

Coupling of noncanonical optical vortices

- Physics
- 2004

When canonical vortices with different topological charges coexist in an optical beam, they inevitably become noncanonical during propagation. The noncanonical nature of optical vortices can be…

Parameterization and orbital angular momentum of anisotropic dislocations

- Physics
- 1996

Waves that have an isotropic intensity distribution about the propagation axis may carry well-defined, quantized orbital angular momentum. The angular momentum is nonzero in the presence of screw…

Index formulae for singular lines of polarization

- Mathematics, Physics
- 2004

Formulae are obtained for the indices (signed rotation numbers) of lines in space on which the polarization of a monochromatic light field is purely circular (C) or purely linear (L). The indices…