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We replace the familiar Stokes vector by a tensor. This allows us to introduce, for example, polar-coordinate components of the Stokes vector. From the tensor we can derive the skyrmion field for mapping the polarization in structured light…

Optics · Physics 2026-03-11 Stephen M. Barnett , Sonja Franke-Arnold , Fiona C. Speirits

The Skyrmion number of paraxial optical Skyrmions can be defined solely via their polarization singularities and associated winding numbers, using a mathematical derivation that exploits Stokes's theorem. It is demonstrated that this…

Stokes polarimetry (SP) is a powerful technique that enables spatial reconstruction of the state of polarization (SoP) of a light beam using only intensity measurements. A given SoP is reconstructed from a set of four Stokes parameters,…

Four Stokes parameters (1852) define the polarisation state of light. Measured changes of the Stokes vector of light traversing an inhomogeneous sample are linked to the local anisotropies of absorption and refraction and are harnessed over…

Vector light beams, characterised by a spatially varying polarisation, can exhibit localised structures reminiscent of the Skyrmions familiar from the study of magnetic media. We present a theory of such Skyrmions within paraxial optics,…

A physical theory is presented for polarized light from an aspect of polarization singularity.This is carried out by analyzing the evolution equation of the Stokes parameters that is derived from the nonlinear Schrodinger type equation. The…

Optics · Physics 2021-02-16 Hiroshi Kuratsuji , Satoshi Tsuchida

The Stokes-parameter operators and the associated Poincare sphere, which describe the quantum-optical polarization properties of light, are defined and their basic properties are reviewed. The general features of the Stokes operators are…

Quantum Physics · Physics 2015-06-26 Natalia Korolkova , Gerd Leuchs , Rodney Loudon , Timothy C. Ralph , Christine Silberhorn

We disclose the existence of a type of optical skyrmion, Gauss-Stokes (GS) skyrmions, that is naturally present in an optical vortex around its phase singularity. Contrary to previous research with optical skyrmions, we neither shape vector…

We propose an operational degree of polarization in terms of the variance of the projected Stokes vector minimized over all the directions of the Poincar\'e sphere. We examine the properties of this degree and show that some problems…

We consider the jacobian of a random transverse polarisation field, from the transverse plane to the Poincar\'e sphere, as a Skyrme density partially covering the sphere. Connected domains of the plane where the jacobian has the same sign…

Optics · Physics 2024-11-28 Kerr Maxwell , Mark R Dennis

Polarization speckle is a fine granular light pattern having spatially varying random polarization profile. We generate these speckle patterns by using the scattering of Poincar\'e beams, a special class of vector vortex beams, through a…

Optics · Physics 2017-05-15 Salla Gangi Reddy , Vijay Kumar , Yoko Miyamoto , R. P. Singh

Optical skyrmions have been widely explored in recent years. Among them, Stokes skyrmions require sophisticated wave engineering or photonic devices for their generation. We show that Stokes skyrmions can emerge spontaneously in…

Optics · Physics 2026-05-06 Marcos G. Barriopedro , Eduardo Oliva , Miguel A. Porras

An easily constructed and operated polarimeter precisely determines the relative Stokes parameters that characterize the polarization of laser light. The polarimeter is calibrated in situ without removing or realigning its optical elements,…

Instrumentation and Detectors · Physics 2021-02-22 V. Wirthl , C. D. Panda , P. W. Hess , B. Spaun , G. Gabrielse

Dynamic manipulation of arbitrary light polarization is of fundamental importance for versatile optical functionalities, yet realizing such full-Poincar\'e-sphere control within compact nanophotonic architectures remains a formidable…

We introduce and produce experimentally optical beams exhibiting periodic skyrmionic polarization lattices at each transverse plane of propagation. These textures are meron lattices formed by tiles mapping hemispheres of the Poincar\'e…

Optics · Physics 2024-02-14 David Marco , Isael Herrera , Sophie Brasselet , Miguel A. Alonso

We show that Skyrmion field lines, constructed from the local Stokes parameters, trace out lines of constant optical polarisation.

Optics · Physics 2023-08-07 Stephen M. Barnett , Fiona C. Speirits , Joerg B. Goette

Stokes parameters (${\bf S}$) in Poincar\'e sphere are very useful values to describe the polarisation state of photons. However, the fundamental principle of the nature of polarisation is not completely understood, yet, because we have no…

Optics · Physics 2024-07-23 Shinichi Saito

We present experimental results on a method to perform polarimetry on ensembles of single photons. Our setup is based on a measurement method known to be optimal for estimating the state of two level systems. The setup has no moving parts…

Quantum Physics · Physics 2009-11-11 Alexander Ling , Soh Kee Pang , Antia Lamas-Linares , Christian Kurtsiefer

The development of vector optical fields has brought forth numerous applications. Among these optical fields, a particular class of vector vortex beams has emerged, leading to the emergence of intriguing optical skyrmion fields…

Optics · Physics 2024-10-10 Liwen Wang , Sheng Liu , Geng Chen , Yongsheng Zhang , Chuanfeng Li , Guangcan Guo

Skyrmionic patterns of optical fields have recently emerged across diverse photonic platforms. Here, we show that such textures also arise in the polarization eigenstates of light propagation through flat dielectric devices with an…

Optics · Physics 2025-10-13 Francesco Di Colandrea , Lorenzo Marrucci , Filippo Cardano
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