scholarly journals SOME PECULIARITIES OF THE SPATIAL POWER SPECTRUM OF SCATTERED ELECTROMAGNETIC WAVES IN RANDOMLY INHOMOGENEOUS MAGNETIZED PLASMA WITH ELECTRON DENSITY AND EXTERNAL MAGNETIC FIELD FLUCTUATIONS

2013 ◽  
Vol 50 ◽  
pp. 77-95 ◽  
Author(s):  
George V. Jandieri ◽  
Akira Ishimaru
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Power Spectrum ◽  
Electron Density ◽  
Electromagnetic Waves ◽  
Magnetized Plasma ◽  
Field Fluctuations ◽  
Spatial Power Spectrum

Optical Mixing in a Magnetized Plasma

1971 ◽  
Vol 49 (16) ◽  
pp. 2187-2193 ◽  
Author(s):  
J. Meyer ◽  
B. Stansfield
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Spectral Density ◽  
Electromagnetic Waves ◽  
Basic Assumption ◽  
Magnetized Plasma ◽  
Ion Motion ◽  
Resonance Frequencies ◽  
Optical Mixing ◽  
The Magnetic Field

The nonlinear interactions of two electromagnetic waves resulting in the excitation of electrostatic oscillations in a magnetized homogeneous plasma are studied. A general expression for the spectral density of the induced fluctuations is derived which includes the effect of the ion motion and an externally applied uniform magnetic field. One basic assumption made is that the frequencies of the electromagnetic waves are much larger than any of the plasma resonance frequencies. Numerical calculations are carried out for the specific case where the induced k vector is parallel to the external magnetic field and the results are presented in a series of graphs. The effect of the ion motion for this case is discussed in detail. Some aspects of the case where the induced k vector is perpendicular to the magnetic field are also discussed. It is found that both—the ion motion and an external magnetic field—can significantly influence the spectral density of the fluctuations.

scholarly journals Oblique propagation of electromagnetic waves in a slowly-varying non-isotropic medium

1936 ◽  
Vol 155 (885) ◽  
pp. 235-257 ◽  
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Electron Density ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Mathematical Theory ◽  
Stratified Medium ◽  
Oblique Propagation ◽  
Isotropic Media ◽  
Mathematical Justification

The influence of the earth’s magnetic field on the propagation of wireless waves in the ionosphere has stimulated interest in the problem of the propagation of electromagnetic waves through a non-isotropic medium which is stratified in planes. Although the differential equations of such a medium have been elegantly deduced by Hartree,f it appears that no solution of them has yet been published for a medium which is both non-isotropic and non-homogeneous. Thus the work of Gans and Hartree dealt only with a stratified isotropic medium, while in the mathematical theory of crystal-optics the non-isotropic medium is always assumed to be homogeneous. In the same way Appleton’s magneto-ionic theory of propagation in an ionized medium under the influence of a magnetic field is confined to consideration of the “ characteristic ”waves which can be propagated through a homogeneous medium without change of form. In applying to stratified non-isotropic media these investigations concerning homogeneous non-isotropic media difficulty arises from the fact that the polarizations of the characteristic waves in general vary with the constitution of the medium, and it is not at all obvious that there exist waves which are propagated independently through the stratified medium and which are approximately characteristic at each stratum. The existence of such waves has usually been taken for granted, although for the ionosphere doubt has been cast upon this assumption by Appleton and Naismith, who suggest that we might “ expect the components ( i. e ., characteristic waves) to be continually splitting and resplitting”, even if the increase of electron density “ takes place slowly with increase of height”. It is clear that, until the existence of independently propagated approximately characteristic waves has been established, at any rate for a slowly-varying non-isotropic medium, no mathematical justification exists for applying Appleton's magnetoionic theory to the ionosphere. It is with the provision of this justification that we are primarily concerned in the present paper. This problem has been previously considered by Försterling and Lassen,f but we feel that their work does not carry conviction because they did not base their calculations on the differential equations for a non-homo-geneous medium, and were apparently unable to deal with the general case in which the characteristic polarizations vary with the constitution of the medium.

Metamaterials from Amorphous Ferromagnetic Microwires: Interaction between Microwires

2009 ◽  
Vol 152-153 ◽  
pp. 357-360 ◽  
Author(s):  
Andrei V. Ivanov ◽  
A.N. Shalygin ◽  
V.Yu. Galkin ◽  
A.V. Vedyayev ◽  
V.A. Ivanov
Keyword(s):  
Magnetic Field ◽  
Refractive Index ◽  
Optical Properties ◽  
External Magnetic Field ◽  
Electromagnetic Waves ◽  
Negative Refractive Index ◽  
Magnus Effect ◽  
Amorphous Ferromagnet ◽  
Wide Scale ◽  
Optical Magnus Effect

For inhomogeneous mediums the оptical Magnus effect has been derived. The metamaterials fabricated from amorphous ferromagnet Co-Fe-Cr-B-Si microwires are shown to exhibit a negative refractive index for electromagnetic waves over wide scale of GHz frequencies. Optical properties and optical Magnus effect of such metamaterials are tunable by an external magnetic field.

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