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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

Mueller matrix polarimetry constitutes a nondestructive powerful tool for the analysis of material samples that is used today in an enormous variety of applications. Depolarizing samples exhibit, in general, a complicated physical behavior…

Optics · Physics 2020-01-08 Ignacio San José , José J. Gil

The asymptotic performance of a polar code under successive cancellation decoding is determined by the exponent of its polarizing matrix. We first prove that the partial distances of a polarizing matrix constructed from the Kronecker…

Information Theory · Computer Science 2011-08-18 Myung-Kyu Lee , Kyeongcheol Yang

While optics and mechanics are two distinct branches of physics, they are connected. It is well known that geometrical/ray treatment of light has direct analogies to mechanical descriptions of particle motion. However, connections between…

Optics · Physics 2023-09-11 Xiaofeng Qian , Misagh Izadi

Equation for evolution of the four-component Stokes vector in weakly anisotropic and smoothly inhomogeneous media is derived on the basis of quasi-isotropic approximation of the geometrical optics method, which provides consequent…

Optics · Physics 2009-11-13 Yu. A. Kravtsov , B. Bieg , K. Yu. Bliokh

We present a new model for the propagation of polarized light in a random birefringent medium. This model is based on a decomposition of the higher order statistics of the reduced Stokes parameters along the irreducible representations of…

Optics · Physics 2012-02-06 Salem Said , Nicolas Le Bihan

We demonstrate a polarimetry technique based on geometric phase measurements. The technique can be used to obtain either the polarization state of a light beam or the properties of a polarizing optical system. On the one hand, we apply our…

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

We experimentally investigate the depolarizing power and the polarization entropy of a broad class of scattering optical media. By means of polarization tomography, these quantities are derived from an effective Mueller matrix, which is…

Optics · Physics 2007-05-23 Graciana Puentes , Dirk Voigt , Andrea Aiello , J. P. Woerdman

Coherence theorems for covariant structures carried by a category have traditionally relied on the underlying term rewriting system of the structure being terminating and confluent. While this holds in a variety of cases, it is not a…

Category Theory · Mathematics 2007-05-31 Jonathan A. Cohen

We estimate both the polarization of spin $1/2$ baryons and the spin density matrix coefficients of spin $1$ mesons using a thermal model that incorporates vorticity and polarization to describe quarks, along with a coalescence formalism…

High Energy Physics - Phenomenology · Physics 2024-10-23 Kayman J. Gonçalves , Giorgio Torrieri , Radoslaw Ryblewski

We present a theoretical study of multi-mode scattering of light by optically random media, using the Mueller-Stokes formalism which permits to encode all the polarization properties of the scattering medium in a real $4 \times 4$ matrix.…

Quantum Physics · Physics 2009-11-10 A. Aiello , J. P. Woerdman

A rigorous mathematical proof is given of a class of vector identities that provide a way to separate an arbitrary vector field (over a linear space) into the sum of a radial (i.e., pointing toward the radial unit vector) vector field,…

Classical Physics · Physics 2007-05-23 M. Bornatici , O. Maj

Coherent spaces spanned by a finite number of coherent states, are introduced. Their coherence properties are studied, using the Dirac contour representation. It is shown that the corresponding projectors resolve the identity, and that they…

Quantum Physics · Physics 2016-09-21 A. Vourdas

Information about the three-dimensional structure of solar magnetic fields is encoded in the polarized spectra of solar radiation by a host of physical processes. To extract this information, solar spectra must be obtained in a variety of…

Instrumentation and Methods for Astrophysics · Physics 2010-06-24 Steven Tomczyk , Roberto Casini , Alfred G. de Wijn , Peter G. Nelson

A symmetric tensor is called copositive if it generates a multivariate form taking nonnegative values over the nonnegative orthant. Copositive tensors have found important applications in polynomial optimization and tensor complementarity…

Combinatorics · Mathematics 2016-03-08 Haibin Chen , Zhenghai Huang , Liqun Qi

We present a technique for studying the polarimetric properties of a birefringent object by means of classical ghost diffraction. The standard ghost diffraction setup is modified to include polarizers for controlling the state of…

Optics · Physics 2014-04-14 Henri Kellock , Tero Setälä , Ari T. Friberg , Tomohiro Shirai

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

Measurements can be considered as a genuine example of processes that crush quantum coherence. In the case of an observable with degeneracy, the formulations of L\"{u}ders and von Neumann are known. These pictures postulate the two…

Quantum Physics · Physics 2019-04-23 Alexey E. Rastegin

Coherence vortices are screw-type topological defects in the phase of Glauber's two-point degree of quantum coherence, associated with pairs of spatial points at which an ensemble-averaged stochastic quantum field is uncorrelated. Coherence…

Quantum Physics · Physics 2015-06-03 Tapio P. Simula , David M. Paganin
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