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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,…

Polarization skyrmions are usually characterized through a unit Stokes vector field, which defines a map from the transverse plane to the Poincar\'e (Bloch) sphere and allows one to assign a skyrmion number under appropriate boundary…

光学 · 物理学 2026-05-27 Rosario Martínez-Herrero , Ángel S. Sanz

Structured light, in which the amplitude, phase, and polarization of an optical field are deliberately tailored in space and time, has enabled unprecedented control over optical fields, paving the way for diverse applications across…

Topological properties of energy flow of light are fundamentally interesting and have rich practical applications in optical manipulations. Here, skyrmion-like structures formed by Poynting vectors are unveiled in the focal region of a pair…

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…

Vector beams are often regarded as non-separable superpositions of spatial and polarization degrees of freedom that satisfy the wave equation. This interpretation ties their polarization structure to their spatial shape. Here, we introduce…

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…

光学 · 物理学 2024-10-10 Liwen Wang , Sheng Liu , Geng Chen , Yongsheng Zhang , Chuanfeng Li , Guangcan Guo

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

光学 · 物理学 2023-08-07 Stephen M. Barnett , Fiona C. Speirits , Joerg B. Goette

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…

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…

光学 · 物理学 2021-02-16 Hiroshi Kuratsuji , Satoshi Tsuchida

For paraxial light beams and electromagnetic fields, the Stokes vector and polarization matrix provide equivalent scalar measures of optical chirality, widely used in linear optics. However, growing interest in non-paraxial fields, with…

光学 · 物理学 2025-05-23 Kayn A. Forbes , David L. Andrews

Analogies between non-trivial topologies of matter and light have inspired numerous studies, including defect formation in structured light and topological photonic band-structures. Three-dimensional topological objects of localized…

量子气体 · 物理学 2022-03-15 C. D. Parmee , M. R. Dennis , J. Ruostekoski

Many polarisation techniques have been harnessed for decades in biological and clinical research, each based upon measurement of the vectorial properties of light or the vectorial transformations imposed on light by objects. Various…

光学 · 物理学 2021-08-11 Chao He , Honghui He , Jintao Chang , Binguo Chen , Hui Ma , Martin J. Booth

In this paper we show that it is possible to structure the longitudinal polarization component of light. We illustrate our approach by demonstrating linked and knotted longitudinal vortex lines acquired upon non-paraxially propagating a…

光学 · 物理学 2018-04-19 F. Maucher , S. Skupin , S. A. Gardiner , I. G. Hughes

The paper discusses the role played by Mueller and Jones formalisms in polarization optics, by addressing the following aspects: restriction to the SU(2) symmetry, non-relativistic Stokes 3-vectors; Cartan 2-spinors in polarization optics;…

光学 · 物理学 2014-11-03 E. Ovsiyuk , O. Veko , M. Neagu , V. Balan , V. Red'kov

The optical counterparts of skyrmions have recently been constructed with diverse topological types and by different degrees of freedom, such as field, spins, and Stokes vectors, exhibiting extensive potential in modern information science.…

光学 · 物理学 2024-09-10 Jun Yao , Yijie Shen , Jun Hu , Yuanjie Yang

Vectorial forms of structured light that are non-separable in their spatial and polarisation degrees of freedom have become topical of late, with an extensive toolkit for their creation and control. In contrast, the toolkit for quantifying…

The Stokes Mueller polarimetry is generalized to include nonlinear optical processes such as second- and third-harmonic generation, sum- and difference-frequency generations. The overall algebraic form of the polarimetry is preserved, where…

光学 · 物理学 2016-02-03 Masood Samim , Serguei Krouglov , Virginijus Barzda

The multipolar expansion of the electromagnetic field plays a key role in the study of light-matter interactions. All the information about the radiation and coupling between the incident wavefield and the object is embodied in the electric…

光学 · 物理学 2024-01-19 Jorge Olmos-Trigo

Structured light fields, featuring unique topological properties and high tunability, have opened new frontiers in light-matter interactions with magnetic systems. However, the ultrafast and reconfigurable optical encoding of various types…

光学 · 物理学 2026-02-02 Zhang Qifan , Yu Wangke , Nie Zhongquan , Shen Yijie , Lin Shirong
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