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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

From an appropriate parameterization of the three-dimensional (3D) coherency matrix R, that characterizes the second-order, classical states of polarization, the coherency matrices are classified and interpreted in terms of incoherent…

Optics · Physics 2015-06-22 Jose J. Gil

The widely-used Jones and Mueller differential polarization calculi allow non-depolarizing deterministic polarization interactions, known to be elements of the $SO^+(1,3)$ Lorentz group, to be described in an efficient way. In this Letter,…

Optics · Physics 2016-12-21 Julien Fade , Noé Ortega-Quijano

The superposition of complex optical fields in three-dimension (3D) is the basis of several non-trivial wave phenomena. Significant among them are the non-uniform polarization distribution and their topological character, leading to the…

Optics · Physics 2024-10-01 Nitish Kumar , Cyriac Raju , Dinesh N. Naik , Nirmal K. Viswanathan

Polarization of light is harnessed in an abundance of classical and quantum applications. Characterizing polarization in a classical sense is done resoundingly successfully using the Stokes parameters, and numerous proposals offer new…

Quantum Physics · Physics 2018-10-05 Aaron Z. Goldberg , Daniel F. V. James

The polarization process when polarizers act on an optical field is studied. We give examples for two kinds of polarizers. The first kind presents an anisotropic absorption - as in a polaroid film - and the second one is based on total…

Optics · Physics 2008-09-09 J. Lages , R. Giust , J. -M. Vigoureux

The connection between Poincar\'e spheres for polariz-ation and Gaussian beams is explored, focusing on the interpretation of elliptic polarization in terms of the isotropic 2-dimensional harmonic oscillator in Hamiltonian mechanics, its…

Optics · Physics 2017-01-10 Mark R Dennis , Miguel A Alonso

We present a study of geometric phases in classical wave and polarisation optics using the basic mathematical framework of quantum mechanics. Important physical situations taken from scalar wave optics, pure polarisation optics, and the…

Optics · Physics 2015-06-18 N. Mukunda , S. Chaturvedi , R. Simon

We investigate theoretical properties of beams of light with non-uniform polarization patterns. Specifically, we determine all possible configurations of cylindrically polarized modes (CPMs) of the electro-magnetic field, calculate their…

Structured light, when strongly focused, generates highly confined vectorial electromagnetic field distributions which may feature a polarization component along the optical axis. Manipulating and detecting such 3D light fields is…

Motivated by a recent finding that Fresnel's phenomenological description of the optical activity in the chiral medium is not self-consistent, we conduct a thorough investigation into the nature of the polarization of a plane light wave. We…

Optics · Physics 2022-09-19 Chun-Fang Li , Zhi-Juan Hu

Tightly focused light beams can exhibit electric fields spinning around any axis including the one transverse to the beams' propagation direction. At certain focal positions, the corresponding local polarization ellipse can degenerate into…

Optics · Physics 2016-07-01 Thomas Bauer , Martin Neugebauer , Gerd Leuchs , Peter Banzer

Here we outline a description of paraxial light propagation from a modal perspective. By decomposing the initial transverse field into a spatial basis whose elements have known and analytical propagation characteristics, we are able to…

We propose and experimentally demonstrate a polarization--based steganographic scheme using partially polarized vector beams. In our approach, the spatially dependent polarization structure of the optical field serves as the carrier through…

In nonparaxial, monochromatic light the electric and magnetic fields generally have different energy densities, different singularities and different polarisation structures. A topological picture of the electric field or magnetic field in…

Optics · Physics 2025-07-23 Alex J. Vernon

Longitudinal electromagnetic fields generally become comparable with the usually dominant transverse components in strongly-focussed, non-paraxial beams. For optical vortex modes it is highlighted here how their angular momentum properties…

Optics · Physics 2021-07-07 Kayn A. Forbes , Dale Green , Garth A. Jones

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

We explore the morphological properties of symmetric Airy beams in the paraxial and nonparaxial regimes. We consider a 2D electromagnetic realization with a single transverse component of the electric field, and in the nonparaxial regime,…

Optics · Physics 2019-07-25 F. Camas-Aquino , P. A. Quinto-Su , R. Jáuregui

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…

Optics · Physics 2018-04-19 F. Maucher , S. Skupin , S. A. Gardiner , I. G. Hughes

Even when neglecting diffraction effects, the well-known equations of geometrical optics (GO) are not entirely accurate. Traditional GO treats wave rays as classical particles, which are completely described by their coordinates and…

Plasma Physics · Physics 2017-04-05 D. E. Ruiz , I. Y. Dodin