|  Refraction | 
In General > s.a. dispersion;
  electricity;  light.
  * Idea: The bending of light when propagating
    in a medium in which the speed of lightvp
    varies with position; When it occurs at the boundary between two homogeneous media with
    different values of n, it is described by Snell's Law.
  * Index of refraction: Defined by
    n(ω):= c/vp
    = k/kvacuum; For light, k
    = ω/c and n = c/v.
  * Complex index of refraction: The
    imaginary part of the index of refraction gives the absorption length in a material.
  @ References: Champenois et al PRA(08)-a0711 [matter waves in gases].
  > Related topics: see
    Fermat's Principle; Snell's Law.
  > Online resources: see
    Wikipedia page.
Negative Index of Refraction
  > s.a. meta-materials / electromagnetism
  in curved spacetime; Kramers-Kronig Relations.
  * History: 1968, Existence of materials
    which bend light in the opposite direction to conventional materials (also known as
    left-handed materials) first proposed; 2000, Demonstrated for the first time in
    experiments; 2003, Several experiments and simulations demonstrated that negative
    refraction is real and that causality is not violated; 2005, New material discovered
    made from layers of superconducting and ferromagnetic thin films (until now, negative
    refraction had only been achieved in metamaterials and photonic crystals); Associated
    phenomena are a reverse Doppler shift and backward Cerenkov radiation and pressure.
  @ General references: Veselago SPU(68);
    Smith et al PRL(00);
    Smith & Kroll PRL(00);
    Smith pw(03)may;
    Zhang et al PRL(03)
    + pw(03)oct;
    Pendry CP(04) [rev];
    Pendry & Smith PT(04)jun;
    Lakhtakia & Mackay JPA(04) [vacuum, gravitationally assisted];
    Lakhtakia & McCall NJP(05) [focus issue];
    Ward et al NJP(05) [physical origin];
    news pw(05)dec,
    SFN(06)may;
    McCall PRL(07) [not with gravity];
    Ramm PLA(08)-a0710 [in acoustics],
    PLA(08) [no perfect lenses];
    Plum et al PRB(09),
    Zhang et al PRL(09)
    + Wegener & Linden Phy(09);
    Guney & Meyer PRA(09)-a0907 [and Klein paradox];
    Mackay & Lakhtakia PLA(09) [not a covariant notion];
    Forcella et al PRL(17)-a1611 [and spatial non-locality];
    Nguyen a1803 [mathematical results and applications].
  @ Experiments, realizations: Shelby et al Sci(01)apr [experiment];
    news pw(07)may [natural material];
    Velázquez-Ahumada et al AJP(11)apr [for microwaves];
    Amariti et al JHEP(13)-a1107 [in hydrodynamics, and applications to quark-gluon plasma],
    JHEP(11)-a1107 [and superconductivity].
Other Special Situations > s.a. Rainbow.
  * Schlieren / shadowgraph imaging:
    A method that allows for visualizing transparent gas density variations.
  @ General references:
    Gekelman et al AJP(11)sep
      [complex index of refraction, and plasma experiments].
  @ Fluctuations in the medium: Kovadlo & Kochetkova a1101-conf [in Earth's atmosphere];
    Gearhart & MacIsaac TPT(20) [classroom demo of Schlieren imaging].
  @ Other variations: Jääskeläinen et al AJP(11)jun-a1012, Nazari & Nouri-Zonoz PRD(12)-a1110 [spacetime index of refraction].
  > Gravity and curved-spacetime-related topics:
    see modified versions of QED [spacetime index of refraction];
    photon phenomenology [curved spacetime].
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