Compact dispersion relations for parametric instabilities of electromagnetic waves in magnetized plasmas

1987 ◽  
Vol 30 (9) ◽  
pp. 2676-2680 ◽  
Author(s):  
Bruce I. Cohen
Keyword(s):  
Electromagnetic Waves ◽  
Dispersion Relations ◽  
Magnetized Plasmas ◽  
Parametric Instabilities

Propagation of electromagnetic waves normal to a magnetic field in a uniform anisotropic Maxwellian plasma

1968 ◽  
Vol 2 (4) ◽  
pp. 591-595
Author(s):  
P. Stewart
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Uniform Magnetic Field ◽  
Hypergeometric Functions ◽  
Dispersion Relations ◽  
Second Order ◽  
Anisotropic Plasma ◽  
Maxwellian Plasma

Closed forms are found for the dispersion relations describing the propagation through a uniform anisotropic plasma of the three modes of electromagnetic waves whose wave vectors are perpendicular to a steady and uniform magnetic field. Such relations are found to be conveniently expressed in terms of hypergeometric functions of the second order.

scholarly journals Dispersion relations for electromagnetic waves in a dense magnetized plasma

2008 ◽  
Vol 74 (6) ◽  
pp. 719-723 ◽  
Author(s):  
P. K. SHUKLA ◽  
L. STENFLO
Keyword(s):  
Electromagnetic Waves ◽  
Dispersion Relations ◽  
Magnetized Plasma ◽  
Intense Laser ◽  
Spin Effect ◽  
Bohm Potential ◽  
Electron Current Density ◽  
Astrophysical Objects ◽  
Linearly Polarized ◽  
Elliptically Polarized

AbstractDispersion relations for elliptically polarized extraordinary as well as linearly polarized ordinary electromagnetic waves propagating across an external magnetic field in a dense magnetoplasma are derived, taking into account the combined effects of the quantum electrodynamical (QED) field, as well as the quantum forces associated with the Bohm potential and the magnetization energy of the electrons due to the electron-1/2 spin effect. The QED (vacuum polarization) effects, which contribute to the nonlinear electron current density, modify the refractive index. Our results concern the propagation characteristics of perpendicularly propagating high-frequency electromagnetic waves in dense astrophysical objects (e.g. neutron stars and magnetars), as well as the next-generation intense laser–solid density plasma interaction experiments and quantum free-electron laser schemes.

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