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In the study of polarized light, there are two basic notions: the Stokes vectors and the matrices which preserve them, called Mueller matrices. The set of Stokes vectors forms a cone: the Future Light Cone. In this work we will see that the…

Mathematical Physics · Physics 2023-09-04 Martha Takane , J. Ivan Lopez-Reyes , J. Othon Parra-Alcantar

This article aims to provide a brief overview of both established and novel ellipsometry techniques, as well as their applications. Ellipsometry is an indirect optical technique in that information about the physical properties of a sample…

To obtain full Stokes spectra in multi-wavelength windows simultaneously, we developed a new spectro-polarimeter on the Domeless Solar Telescope at Hida Observatory. The new polarimeter consists of a 60 cm aperture vacuum telescope on an…

Instrumentation and Methods for Astrophysics · Physics 2018-06-13 Tetsu Anan , Yu Wei Huang , Yoshikazu Nakatani , Kiyoshi Ichimoto , Satoru Ueno , Goichi Kimura , Shota Ninomiya , Sanetaka Okada , Naoki Kaneda

The measurement of radio polarization may be regarded as a three-dimensional statistical problem because the large photon densities at radio wavelengths allow the simultaneous detection of the three Stokes parameters which completely…

Astrophysics · Physics 2009-11-07 Mark M. McKinnon

Experimental Stokes vector spectroscopy characterizes polarization state noise in nonlinear fiber transmission. Noise bandwidths of a few MHz are observed from XPM-blurred receive SOPs using a polarization scrambling interferometer. This…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Lothar Moeller

Light-matter interactions within indoor environments are significantly depolarizing. Nonetheless, the relatively small polarization attributes are informative. To make use of this information, polarized-BRDF (pBRDF) models for common indoor…

Optics · Physics 2023-07-25 Quinn Jarecki , Meredith Kupinski

Advances in vectorial polarisation-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every…

A parametrization of 3x3 unitary matrices is presented. This mathematical approach is inspired on polarization algebra and is formulated through the identification of a set of three orthonormal three-dimensional Jones vectors representing…

Mathematical Physics · Physics 2019-11-26 Jose J. Gil

A fast multichannel Stokes/Mueller polarimeter with no mechanically moving parts has been designed to have close to optimal performance from 430-2000 nm by applying a genetic algorithm. Stokes (Mueller) polarimeters are characterized by…

Stokes polarimetry has been considered as an alluring platform that enables a plethora of applications ranging from single-molecule orientation to deep-space sensing. Existing polarimetry avenues, however, rely primarily on the transversely…

Optics · Physics 2025-10-06 Shuaijie Yuan , Xu Zhu , Jin Yang , Yu Liu , Jinhai Zou , Zhongquan Nie , Baohua Jia , Bing Lei

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…

Optics · Physics 2021-08-11 Chao He , Honghui He , Jintao Chang , Binguo Chen , Hui Ma , Martin J. Booth

The geometric approach presented in this paper concerns the degree of polarization (DoP) of a random 3D statistical electromagnetic field. We use that a 3*3 coherency matrix can always be decomposed into an incoherent superposition of three…

Imaging Mueller polarimetry has already proved its potential for metrology, remote sensing and biomedicine. The real-time applications of this modality require both video rate image acquisition and fast data post-processing algorithms.…

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 advocate a simple multipole expansion of the polarisation density matrix. The resulting multipoles appear as successive moments of the Stokes variables and can be obtained from feasible measurements. In terms of these multipoles, we…

Orthogonal Mueller matrices can be considered either as corresponding to retarders or to generalized transformations of the polarization basis for the representation of Stokes vectors, so that they constitute the only type of Mueller…

Optics · Physics 2016-06-10 Jose J. Gil , Ignacio San Jose

In polarization optics, an important role play Mueller matrices -- real four-dimensional matrices which describe the effect of action of optical elements on the polarization state of the light, described by 4-dimensional Stokes vectors. An…

Mathematical Physics · Physics 2012-02-01 V. M. Red'kov , E. M. Ovsiyuk

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 developed an instrument design capable of measuring linear X-ray polarization over a broad-band using conventional spectroscopic optics. A set of multilayer-coated flats reflects the dispersed X-rays to the instrument detectors. The…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Herman L. Marshall , Ralf Heilmann , Norbert Schulz , Kendrah Murphy

Forward models for the Mueller Matrix (MM) components of materials with relative magnetic permeability tensor {\mu} \neq 1 are studied. 4x4 matrix formalism is employed to produce general solutions for the complex reflection coefficients…

Optics · Physics 2015-05-19 P. D. Rogers , T. D. Kang , T. Zhou , M. Kotelyanskii , A. A. Sirenko