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The issue raised in this paper is classical in the sense of being ancient: which subset of 4X4 matrices should be accepted as physical Mueller matrices in polarization optics? Non-quantum entanglement between the polarization and spatial…

This paper provides testable predictions about starlight polarizations to constrain the geometry of the Galactic magnetic field, in particular the nature of the poloidal component. Galactic dynamo simulations and Galactic dust distributions…

Astrophysics of Galaxies · Physics 2012-02-07 Michael D. Pavel

A theorem of Moreau (1962) states that given a closed convex cone $C$ and its (negative) polar cone $C^\circ$ in a real Hilbert space $H$, vectors $y \in C$ and $z \in C^\circ$ are metric projections of a vector $u \in H$ on $C$ and…

Metric Geometry · Mathematics 2018-10-11 Valeriu Soltan

We extend the work of Mishchenko et al. (2000) regarding the exact results of the polarization effect, using the theory of Amic et al. (1997) to derive a model prediction for the polarization coherent opposition effect at small angles. Our…

Instrumentation and Methods for Astrophysics · Physics 2017-07-27 Adrian J. Brown

The Classification of Polarization elements, the polarization affecting optical devices which have a Jones matrix representation, according to the types of eigenvectors they possess, is given a new visit through the Group-theoretical…

Optics · Physics 2009-11-06 Sudha , A. V. Gopala Rao

A novel polarimeter based on the asymmetry in the spacial distribution of synchrotron radiation will make for a fine addition to the existing M{\o}ller and Compton polarimeters. The spin light polarimeter consists of a set of wiggler magnet…

Accelerator Physics · Physics 2014-03-21 Prajwal Mohanmurthy , Dipangkar Dutta

It is well known that there exists a four dimensional complex vector associated with a nondepolarizing Mueller matrix. In this note it is shown that this complex vector, which is isomorphic to the Jones matrix, can be obtained from the…

Optics · Physics 2019-06-27 Mehmet Ali Kuntman , Ertan Kuntman

The polarization of light conveys unique information that can be exploited by crucial applications. The bulky and costly discrete optical components used in conventional polarimeters limit their broad adoption. A compact, low-cost…

Applied Physics · Physics 2019-03-27 Zhongjin Lin , Leslie Rusch , Yuxuan Chen , Wei Shi

We revisit the classification of polarization observables of the cosmic microwave background. There exists a unified approach to the $3 \times 3$ density matrix by which intensity, linear and circular polarization are treated on an equal…

Astrophysics · Physics 2007-05-23 John P. Ralston , Pankaj Jain

We study the possibility for constraining the topology of the Universe by means of the matched circles statistic applied to polarised cosmic microwave background (CMB) anisotropy maps. The advantages of using the CMB polarisation maps in…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-09 P. Bielewicz , A. J. Banday , K. M. Gorski

We present a method based on Mueller calculus to calibrate linear polarimetric observations. The key advantages of the proposed way of calibration are: (1) that it can be implemented in a data reduction pipeline, (2) that it is possible to…

Astrophysics · Physics 2009-11-13 Franco Joos , Esther Buenzli , Hans Martin Schmid , Christian Thalmann

Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. This is applied by Du (2010) [A note on cone…

General Topology · Mathematics 2011-09-23 Huseyin Cakalli , Ayse Sonmez , Cigdem Genc

The general features of the Moller scattering and its use as an electron polarimeter are described and studied in view of the planned future high energy e^+e^- linear colliders. In particular the study concentrates on the TESLA collider…

High Energy Physics - Experiment · Physics 2015-06-25 Gideon Alexander , Iuliana Cohen

Various effects produced by vector perturbations (vortical peculiar velocity fields) of a flat Friedmann-Robertson-Walker background are considered. In the presence of this type of perturbations, the polarization vector rotates. A formula…

Astrophysics · Physics 2008-11-26 Juan Antonio Morales , Diego Sáez

Optics labs are an integral part of the advanced curriculum for physics majors. Students majoring in other disciplines, like chemistry, biology or engineering rarely have the opportunity to learn about the most recent optical techniques and…

Physics Education · Physics 2011-11-10 Georgi Georgiev , Thomas Slavkovsky

Matter inhomogeneities along the line of sight deflect the cosmic microwave background (CMB) photons originating at the last scattering surface at redshift $z \sim 1100$. These distortions modify the pattern of CMB polarization. We identify…

Astrophysics · Physics 2009-10-31 Jacek Guzik , Uros Seljak , Matias Zaldarriaga

We introduce an alternative approach to the polarization theory of light. This is based on a set of quantum operators, constructed from two independent bosons, being three of them the $su(1,1)$ Lie algebra generators, and the other one, the…

Quantum Physics · Physics 2016-07-26 R. D. Mota , D. Ojeda-Guillén , M. Salazar-Ramírez , V. D. Granados

The depolarization properties of a medium with associated Mueller matrix M are characterized through two complementary sets of parameters, namely the three indices of polarimetric purity (IPP), which are directly linked to the relative…

Optics · Physics 2016-02-23 Jose J. Gil

We present a simple and convenient method to yield cylindrical vector (CV) beams and realize its polarization evolution on higher-order Poincare sphere based on inhomogeneous birefringent metasurface. By means of local polarization…

Optics · Physics 2015-06-22 Yachao Liu , Xiaohui Ling , Xunong Yi , Xinxing Zhou , Hailu Luo , Shuangchun Wen

We give a self-contained exposition of some mathematical aspects of the Mueller-Stokes formalism. In the first part we review some basic notions of linear algebra and establish a proper notation. In the second part we introduce the…

Mathematical Physics · Physics 2007-05-23 A. Aiello , J. P. Woerdman
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