Effective Dielectric Tensor for Electromagnetic Waves in Weakly Inhomogeneous Media

The effect of Coulomb correlations on the spectrum of electromagnetic waves propagating in a non-ideal magnetized fully ionized hydrogen plasma is studied. We employ the dielectric tensor constructed by means of the classical theory of moments without using perturbation theory.

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REFLECTION OF ELECTROMAGNETIC WAVES FROM INHOMOGENEOUS MEDIA WITH SPECIAL PROFILES

Electromagnetic Waves in Stratified Media ◽

10.1016/b978-0-08-006636-3.50009-4 ◽

1970 ◽

pp. 64-85

Author(s):

JAMES R. WAIT

Keyword(s):

Electromagnetic Waves ◽

Inhomogeneous Media

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Resonant interaction of electron cyclotron waves with a plasma containing arbitrarily drifting suprathermal electrons

Journal of Plasma Physics ◽

10.1017/s0022377800002890 ◽

1985 ◽

Vol 34 (2) ◽

pp. 319-326 ◽

Cited By ~ 7

Author(s):

A. Orefice

Keyword(s):

Electromagnetic Waves ◽

Electron Distribution Function ◽

Resonant Interaction ◽

Electron Cyclotron ◽

Dielectric Tensor ◽

Suprathermal Electrons ◽

Relativistic Treatment ◽

Electron Cyclotron Waves ◽

Plasma Dispersion ◽

The Magnetic Field

A relativistic treatment of the plasma dispersion functions and of the dielectric tensor for electron cyclotron electromagnetic waves is given for non-thermal plasmas where the electron distribution function can be represented as a combination of Maxwellians with arbitrary drifts along the magnetic field.

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Dispersive and effective properties of two-dimensional periodic media

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2018.0298 ◽

2019 ◽

Vol 475 (2227) ◽

pp. 20180298

Author(s):

Yuri A. Godin ◽

Boris Vainberg

Keyword(s):

Electromagnetic Waves ◽

Effective Properties ◽

Circular Cylinders ◽

Dielectric Tensor ◽

Two Dimensional ◽

Rectangular Array ◽

Electric And Magnetic Fields ◽

Explicit Formulae ◽

Propagation Of Waves ◽

Transverse Propagation

We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation of waves is described by the Helmholtz equation with the continuity conditions for the tangential components of the electric and magnetic fields on the boundaries of the cylinders. We assume that the cell size is small compared with the wavelength, but large compared with the radius a of the inclusions. Explicit formulae are obtained for asymptotic expansion of the solution of the problem in terms of the dimensionless magnitude q of the wavevector and radius a . This leads to explicit formulae for the effective dielectric tensor and the dispersion relation with the rigorously justified error of order O (( q 2 + a 2 ) 5/2 ).

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Propagation of the Electromagnetic Waves in Layered Inhomogeneous Media I

Journal of the Physical Society of Japan ◽

10.1143/jpsj.20.1463 ◽

1965 ◽

Vol 20 (8) ◽

pp. 1463-1475 ◽

Cited By ~ 1

Author(s):

Ginko Satô ◽

Kôshun Takaku

Keyword(s):

Electromagnetic Waves ◽

Inhomogeneous Media

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Evolution of the polarization of electromagnetic waves in weakly anisotropic inhomogeneous media — a comparison of quasi-isotropic approximations of the geometrical optics method and the Stokes vector formalism

Open Physics ◽

10.2478/s11534-008-0044-y ◽

2008 ◽

Vol 6 (3) ◽

Cited By ~ 2

Author(s):

Yury Kravtsov ◽

Bohdan Bieg

Keyword(s):

Electromagnetic Field ◽

Electromagnetic Waves ◽

Normal Modes ◽

Geometrical Optics ◽

Inhomogeneous Media ◽

Stokes Vector ◽

Coupled Equations ◽

Isotropic Approximation ◽

Total Phase ◽

Electromagnetic Beams

AbstractThe main methods describing polarization of electromagnetic waves in weakly anisotropic inhomogeneous media are reviewed: the quasi-isotropic approximation (QIA) of geometrical optics method that deals with coupled equations for electromagnetic field components, and the Stokes vector formalism (SVF), dealing with Stokes vector components, which are quadratic in electromagnetic field intensity. The equation for the Stokes vector evolution is shown to be derived directly from QIA, whereas the inverse cannot be true. Derivation of SVF from QIA establishes a deep unity of these two approaches, which happen to be equivalent up to total phase. It is pointed out that in contrast to QIA, the Stokes vector cannot be applied for a polarization analysis of the superposition of coherent electromagnetic beams. Additionally, the ability of QIA to describe a normal modes conversion in inhomogeneous media is emphasized.

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