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Related papers: Stochastic Stokes origami: folds, cusps and skyrmi…

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Skyrmionic patterns of optical fields have recently emerged across diverse photonic platforms. Here, we show that such textures also arise in the polarization eigenstates of light propagation through flat dielectric devices with an…

Optics · Physics 2025-10-13 Francesco Di Colandrea , Lorenzo Marrucci , Filippo Cardano

We stress the importance of stochastic geometry as a branch of mathematical statistics particularly suited to model and investigate nontrivial spatial patterns. One of its key concepts, Voronoi tessellations, represents a versatile and…

Astrophysics · Physics 2007-05-23 Rien van de Weygaert

Light's polarisation contains information about its source and interactions, from distant stars to biological samples. Polarimeters can recover this information, but reliance on birefringent or rotating optical elements limits their…

Instrumentation and Detectors · Physics 2018-08-21 Ryan D. Hawley , John Cork , Neal Radwell , Sonja Franke-Arnold

We study the interaction of an electromagnetic field with a non-absorbing or absorbing dispersive sphere in the framework of complex angular momentum techniques. We assume that the dielectric function of the sphere presents a Drude-like…

Materials Science · Physics 2009-10-20 Stéphane Ancey , Yves Décanini , Antoine Folacci , Paul Gabrielli

The detection of the state of polarization (SOP) of light is essential for many optical applications. However, it is a challenge for cost-effective SOP measurement due to the complexity of conventional methods and poor transferability of…

Optics · Physics 2024-01-30 Yuxuan Xiong , Ting Jiang , Hao Wu , Zheng Gao , Shaojun Zhou , Zhao Ge , Ming Tang

Several on-going and future experiments use a Stokes polarimeter (i.e. a rotating wave plate followed by a steady polarizer and by an unpolarized detector) to measure the small polarized component of the Cosmic Microwave Background. The…

Instrumentation and Methods for Astrophysics · Physics 2010-06-17 Maria Salatino , Paolo de Bernardis

We investigate the intrinsic continuum linear polarization from axisymmetric density distributions of gas surrounding classical Be stars during the formation and dissipation of their circumstellar disks. We implement a Monte Carlo…

Solar and Stellar Astrophysics · Physics 2013-07-24 Robbie J. Halonen , Carol E. Jones

Focal conic domains are typically the "smoking gun" by which smectic liquid crystalline phases are identified. The geometry of the equally-spaced smectic layers is highly generic but, at the same time, difficult to work with. In this Letter…

Soft Condensed Matter · Physics 2010-06-25 Gareth P. Alexander , Bryan Gin-ge Chen , Elisabetta A. Matsumoto , Randall D. Kamien

The term "surface polarization" is introduced to describe the in-plane polarization existing at the surface of an insulating crystal when the in-plane surface inversion symmetry is broken. Here, the surface polarization is formulated in…

Materials Science · Physics 2015-08-18 Yuanjun Zhou , Karin Rabe , David Vanderbilt

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 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 consider the Stokes equations on a bounded perforated domaincompleted with non-zero constant boundary conditions on the holes. We investigate configurations forwhich the holes are identical spheres and their number N goes to infinity…

Analysis of PDEs · Mathematics 2018-06-06 Matthieu Hillairet

We discuss statistical and physical properties of cosmic microwave background polarization, both in Fourier and in real space. The latter allows for a more intuitive understanding of some of the geometric signatures. We present expressions…

Astrophysics · Physics 2007-05-23 Uros Seljak , Matias Zaldarriaga

Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Lo\`{e}ve expansions with respect to the spherical harmonic functions and the angular power spectrum. The smoothness of the covariance is connected to the decay of…

Probability · Mathematics 2015-10-26 Annika Lang , Christoph Schwab

The study of polarized radiation transfer in the highly-magnetized surface locales of neutron stars is of great interest to the understanding of accreting X-ray pulsars, rotation-powered pulsars and magnetars. This paper explores scattering…

High Energy Astrophysical Phenomena · Physics 2020-11-25 Joseph A. Barchas , Kun Hu , Matthew G. Baring

To interpret observations of astrophysical disks it is essential to understand the formation process of the emitted light. If the disk is optically thick, scattering dominated and permeated by a Keplerian velocity field, Non-Local…

Solar and Stellar Astrophysics · Physics 2014-11-19 Ivan Milic , Marianne Faurobert

Polarization singularities and topological polarization structures are generic features of inhomogeneous vector wave fields of any nature. However, their experimental studies mostly remain restricted to optical waves. Here we report…

The Stokes V parameter characterizes asymmetry of amplitudes between right- and left-handed waves, and non-vanishing value of the V parameter yields a circularly polarized signal. Cosmologically, V parameter may be a direct probe for parity…

Astrophysics · Physics 2008-11-26 Naoki Seto , Atsushi Taruya

An approach for measuring linear X-ray polarization over a broad-band using conventional spectroscopic optics is described. A set of multilayer-coated flats reflect the dispersed X-rays to the instrument detectors. The intensity variation…

Astrophysics · Physics 2009-11-13 Herman L. Marshall

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…

Optics · Physics 2025-05-23 Kayn A. Forbes , David L. Andrews