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The Mueller-Stokes formalism which governs conventional polarization optics is formulated for plane waves, and thus the only qualification one could demand of a $4\times 4$ real matrix $M$ in order that it qualifies to be the Mueller matrix…

The Stokes Mueller polarimetry is generalized to include nonlinear optical processes such as second- and third-harmonic generation, sum- and difference-frequency generations. The overall algebraic form of the polarimetry is preserved, where…

Optics · Physics 2016-02-03 Masood Samim , Serguei Krouglov , Virginijus Barzda

Within the new description of the polarization structure of quantum light (given in Part I) some types of generalized coherent states related to the polarization SU(2) group are examined. With their help we give a quasiclassical description…

Quantum Physics · Physics 2008-02-03 V. P. Karassiov

Polarization is a basic property of light and is fundamentally linked to the internal geometry of a source of radiation. Polarimetry complements photometric, spectroscopic, and imaging analyses of sources of radiation and has made possible…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 S. Trippe

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…

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

It is shown that the Lorentz group is the natural language for two-beam interferometers if there are no decoherence effects. This aspect of the interferometer can be translated into six-parameter representations of the Lorentz group, as in…

Quantum Physics · Physics 2009-11-06 D. Han , Y. S. Kim , Marilyn E. Noz

Spectropolarimetry of intact plant leaves allows to probe the molecular architecture of vegetation photosynthesis in a non-invasive and non-destructive way and, as such, can offer a wealth of physiological information. In addition to the…

The effects of the polarization characteristics of beam trains in optical long-baseline interferometers are well known and have led to difficulties in measuring the spatial coherence of astronomical sources in the past. This has been…

Instrumentation and Methods for Astrophysics · Physics 2026-03-23 Guy Perrin

Within the paradigm of metamaterials and metasurfaces, electromagnetic properties of composite materials can be engineered by shaping or modulating their constituents, so-called meta-atoms. Synthesis and analysis of complex-shape meta-atoms…

Optics · Physics 2019-09-04 Viktar Asadchy , Sergei Tretyakov

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

Features of complex vector light become important in any interference effects, including scattering, diffraction, and non-linear processes. Here we are investigating the role of polarization-structured light in atomic state interferometers.…

Atomic Physics · Physics 2025-10-24 Kuntal Samanta , Sphinx J. Svensson , Sonja Franke-Arnold , Niclas Westerberg

We demonstrate that the multipoles associated with the density matrix are truly observable quantities that can be unambiguously determined from intensity moments. Given their correct transformation properties, these multipoles are the…

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

Ascertaining the physical state of a system is vital in order to understand and predict its behaviour. Tomography is a standard approach used to determine the form of an unknown state. Here we show that an alternative approach, based on…

Quantum Physics · Physics 2013-11-01 Jeff Z. Salvail , Megan Agnew , Allan S. Johnson , Eliot Bolduc , Jonathan Leach , Robert W. Boyd

We calculate all the elements of the Mueller matrix, which contains all the polarization properties of light scattered from a two-dimensional randomly rough lossy metal surface. The calculations are carried out for arbitrary angles of…

Optics · Physics 2012-11-12 Paul Anton Letnes , Alexei A. Maradudin , Tor Nordam , Ingve Simonsen

With assumption that an optical element is described by a Mueller matrix of the Lorentzian type, a method to find a 3-dimensional complex vector parameter for a corresponding Mueller matrix from results of four specially chosen polarization…

Mathematical Physics · Physics 2012-01-30 E. M. Ovsiyuk

Layered systems shows anisotropic transport properties. The interlayer conductivity show a general temperature dependence for a wide class of materials. This can be understood if conduction occurs in two different channels activated at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Urban Lundin , Ross H. McKenzie

Linear (spectro) polarimetry is usually performed using separate photon flux measurements after spatial or temporal polarization modulation. Such classical polarimeters are limited in sensitivity and accuracy by systematic effects and…

Optics · Physics 2010-05-28 Frans Snik , Theodora Karalidi , Christoph U. Keller