|  Polarization of Electromagnetic Waves | 
In General
  > see light; optics / electromagnetism.
  * Remark: Unpolarized light must be polychromatic!
  * Malus' law: The intensity of polarized light passing
    through a linear polarizer decreases by a factor cos2α;
    > s.a. hidden variables.
  * Of sky light: The scattering that causes the
    blue sky (mostly single scattering) also polarizes it; To first approximation there are two
    0-polarization points, the Sun and the anti-Sun, but double scattering causes them to split
    vertically into two closely spaced points (Brewster and Babinet points, each of index 1/2).
  * Demonstration: Black light sandwich –
    a transparency foil between two polarizers, allows to see two index-1/2 singularities in
    direction space.
  @ General references:
    Pye 00 [I];
    Gamel & James PRA(12)-a1303
      [degree of polarization, and degree of purity for two-level quantum systems];
    Trippe JKAS(14)-a1401 [rev, and astronomy];
    O'Shea et al a2010
      [history, naked-eye visibility of polarization];
    Goldberg et al a2011 [quantum theory].
  @ Stokes polarization parameters: 
    Schaefer et al AJP(07)feb;
    > s.a. gravitational-wave background.
  @ Polarization of skylight: Smith AJP(07)jan [model];
    Ropars et al CP(14) [and the sunstone as an ancient Viking navigational tool].
Faraday Rotation > s.a. cmb polarization.
  * Idea: The rotation
    of the plane of polarization of light going through a magnetic field (or
    other medium); > s.a. electromagnetism
    in curved spacetime.
  * Gravitational: The rotation
    of the plane of polarization of polarized electromagnetic radiation traveling
    through a gravitational field; In the case of a gravitational wave, the effect
    vanishes for localized (astrophysically generated) waves and is non-zero but
    negligible for cosmological ones.
  @ General references: Ganguly et al PRD(99) [degenerate relativistic];
    Zavattini PRL(06)
    + pw(06)mar [observation, and axions];
    Cornean & Nenciu JFA(09)-a0807 [thermodynamic limit];
    Melrose ApJ(10)-a1010 [effect of magnetic-field reversals];
    Oppermann et al A&A(15)-a1404 [extragalactic].
  @ Gravitational: Perlick & Hasse CQG(93);
    Sereno PRD(04);
    Halilsoy & Gurtug PRD(07),
    Faraoni NA(07)-a0709 [due to gravitational waves];
    Schneiter et al a1812 [in the gravitational field of a laser beam].
Other Effects
  > s.a. Coherence; earth [auroras].
  * Birefringence: A polarization-dependent
    doubling in photon propagation speed, or anisotropic index of refraction; It happens in material
    media such as calcite, and in vacuum either as a quantum field theory effect in the presence
    of strong electromagnetic fields, or in modified gravity theories such as bi-metric models and
    Poincaré gauge theory; A similar effect can occur for gravitational waves; > s.a.
    axions; finsler geometry;
    modified electromagnetism; non-commutative
    gauge theories; QCD phenomenology.
  * Dichroism: Anisotropic absorption
    of components of an electromagnetic wave; For example, by a grid of parallel conductors.
  * Optical activity: The
    rotation of the electric field of a plane wave traversing some materials (e.g., quartz).
  @ Optical activity: Barbieri & Guadagnini NPB(04) [gravitational];
    Agulló et al a1705-GRF [in a curved spacetime geometry, for quantum radiation].
  @ Birefringence, material medium: 
    Ghosh & Fischer PRL(06)
    + pw(06)nov [in a chiral liquid];
    De Lorenci & Ford a1903 [quantum induced, non-linear  materials].
  @ Birefringence, vacuum: Chen et al MPLA(07)he/06 [and vacuum dichroism, experimental searches];
    Hattori & Itakura AP(13) [in strong magnetic fields];
    Karbstein et al PRD(15)-a1507 [in strong inhomogeneous electromagnetic fields];
    Mignani et al MNRAS(16)-a1610
    + news sn(16)dec [in X-rays from neutron stars];
    Karbstein a1611-ln [pedagogical];
    Schneider et al a1708 [and gravitational dynamics];
    Wang a1712 [of gravitational waves].
  @ Birefringence, cosmological: Exirifard PLB(11)-a1010 [theory];
    di Serego Alighieri a1011-proc [methods, rev];
    Yadav et al PRD(12)-a1207 [with cmb],
    Gruppuso et al JCAP(16)-a1509 [constraints from Planck and Bicep2/Keck data];
    Duval & Schücker PRD(17)-a1610,
    a1804-conf [in Robertson-Walker cosmologies];
    Whittaker et al a1702/MNRAS [using resolved radio sources];
    > s.a. cmb polarization.
  @ Experiments and examples:
    Ouseph et al AJP(01)nov [polarization by reflection];
    Holleczek et al OE(11)-a1012 [cylindrically polarized states of light].
  @ Related topics: Berry & Dennis PRS(01) [polarization singularities in vector waves];
    news sn(10)mar ["superchiral" light];
    Shukla & Prakash MPLB(16)-a1610 [polarization squeezing].
  > In gravitation and cosmology:
    see kaluza-klein phenomenology; non-commutative physics;
    Non-Symmetric Gravity; gravitational phenomenology;
    observational cosmology; photon phenomenology in quantum
    gravity; tests of general relativity with light;
    tests of the equivalence principle.
 main page
  – abbreviations
  – journals – comments
  – other sites – acknowledgements
  send feedback and suggestions to bombelli at olemiss.edu – modified 12 dec 2020