Relativistic kinetic theory of electromagnetic waves in equilibrium magnetized plasma. General dispersion equations

2003 ◽  
Vol 81 (12) ◽  
pp. 1377-1387 ◽  
Author(s):  
M Lazar ◽  
R Schlickeiser
Keyword(s):  
Kinetic Theory ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Analytical Continuation ◽  
Magnetized Plasma ◽  
Equilibrium Plasma ◽  
Relativistic Kinetic Theory ◽  
General Dispersion ◽  
52.35 Py ◽  
52.35 Mw

The relativistic kinetic theory of parallel propagating electromagnetic waves in a magnetized equilibrium plasma is presented. On the basis of relativistic Vlasov–Maxwell equations, a general explicit dispersion relation is derived by a correct analytical continuation for all complex frequencies of electromagnetic waves.PACS Nos.: 52.25.Dg, 52.25.Xz, 52.27.Ep, 52.27.Ny, 52.35.Hr, 52.35.Mw, 52.35.Py

Convective laser filamentation instability in magnetized plasma

2014 ◽  
Vol 92 (6) ◽  
pp. 504-508 ◽  
Author(s):  
M.S. Bawa’aneh ◽  
Ghada Assayed ◽  
M.R. Said ◽  
S. Al-Awfi
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Amplification Factor ◽  
Magnetized Plasma ◽  
Governing Equations ◽  
Equilibrium Plasma ◽  
Dc Magnetic Field ◽  
Density Values ◽  
Filamentation Instability ◽  
The Magnetic Field

The convective amplification of filamentation instability (FI) of electromagnetic waves traveling along the density ramp of a magnetized plasma is investigated. The generalized amplification factor of the instability in the presence of a DC–magnetic field is derived by obtaining the governing equations of the instability and using the slow-coupling technique to obtain an analytical expression for the amplification factor in weakly magnetized plasma. The result shows enhancement of the convective FI gain by the magnetic field, where the enhancement is stronger for lower equilibrium plasma density values.

scholarly journals Short-scale quantum kinetic theory including spin–orbit interactions

2021 ◽  
Vol 75 (1) ◽  
Author(s):  
R. Ekman ◽  
H. Al-Naseri ◽  
J. Zamanian ◽  
G. Brodin
Keyword(s):  
Kinetic Theory ◽  
Electromagnetic Waves ◽  
Orbit Interaction ◽  
Magnetized Plasma ◽  
Spin Orbit ◽  
Spin Orbit Interaction ◽  
Electrostatic Waves ◽  
Quantum Kinetic Theory ◽  
Unmagnetized Plasma ◽  
Spin Orbit Interactions

Abstract We present a quantum kinetic theory for spin-1/2 particles, including the spin–orbit interaction, retaining particle dispersive effects to all orders in $$\hbar $$ ħ , based on a gauge-invariant Wigner transformation. Compared to previous works, the spin–orbit interaction leads to a new term in the kinetic equation, containing both the electric and magnetic fields. Like other models with spin–orbit interactions, our model features “hidden momentum”. As an example application, we calculate the dispersion relation for linear electrostatic waves in a magnetized plasma, and electromagnetic waves in a unmagnetized plasma. In the former case, we compare the Landau damping due to spin–orbit interactions to that due to the free current. We also discuss our model in relation to previously published works. Graphic abstract

Wave propagation in non-uniform plasmas near the second electron cyclotron harmonic

1967 ◽  
Vol 1 (3) ◽  
pp. 289-304 ◽  
Author(s):  
D. E. Baldwin
Keyword(s):  
High Frequency ◽  
Electromagnetic Waves ◽  
Electron Cyclotron ◽  
Magnetized Plasma ◽  
Larmor Radius ◽  
Transverse Waves ◽  
Equilibrium Plasma ◽  
Longitudinal Modes ◽  
High Frequency Waves ◽  
Cyclotron Harmonic

Equations are derived which may be used to describe the propagation of electromagnetic waves in non-uniform magnetized plasma when the wave frequency is near the second electron cyclotron harmonic. The method used is to expand the linearized Vlasov equation in powers of the electron Larmor radius divided by a typical scale length. The general equations are then specialized to the problem of the coupling of transverse waves to the longitudinal modes (Bernstein modes) which exist when all quantities vary only in a plane perpendicular to a straight magnetic field. The form of these equations for two simple models of the equilibrium plasma is given. Comments are made about the equations for the higher harmonics, and the question of boundary conditions is discussed. Finally, the general equations are examined in the limit Ω→0 in order to provide equations suitable for the description of high frequency waves in non-magnetized plasmas.

Relativistic Kinetic Theory

2017 ◽  
Author(s):  
Gregory V. Vereshchagin ◽  
Alexey G. Aksenov
Keyword(s):  
Kinetic Theory ◽  
Relativistic Kinetic Theory

New Approach to the Theory of Circular Dichroism

1998 ◽  
Vol 63 (8) ◽  
pp. 1187-1201 ◽  
Author(s):  
Jaroslav Zamastil ◽  
Lubomír Skála ◽  
Petr Pančoška ◽  
Oldřich Bílek
Keyword(s):  
Electromagnetic Wave ◽  
Circular Dichroism ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Optically Active ◽  
Semiclassical Approach ◽  
New Approach ◽  
Isotropic Media ◽  
New Formula ◽  
Circular Dichroïsm

Using the semiclassical approach for the description of the propagation of the electromagnetic waves in optically active isotropic media we derive a new formula for the circular dichroism parameter. The theory is based on the idea of the time damped electromagnetic wave interacting with the molecules of the sample. In this theory, the Lambert-Beer law need not be taken as an empirical law, however, it follows naturally from the requirement that the electromagnetic wave obeys the Maxwell equations.

Electromagnetic waves

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Plane Waves ◽  
Geometrical Optics ◽  
Particle Detection ◽  
Spatial Coordinates ◽  
A Charge

This chapter examines solutions to the Maxwell equations in a vacuum: monochromatic plane waves and their polarizations, plane waves, and the motion of a charge in the field of a wave (which is the principle upon which particle detection is based). A plane wave is a solution of the vacuum Maxwell equations which depends on only one of the Cartesian spatial coordinates. The monochromatic plane waves form a basis (in the sense of distributions, because they are not square-integrable) in which any solution of the vacuum Maxwell equations can be expanded. The chapter concludes by giving the conditions for the geometrical optics limit. It also establishes the connection between electromagnetic waves and the kinematic description of light discussed in Book 1.

Propagation of Electromagnetic Waves in Graphene-Wrapped Cylindrical Waveguides Filled With Magnetized Plasma

Optik ◽  
2021 ◽  
pp. 167566
Author(s):  
Muhammad Usman Shahid ◽  
Abdul Ghaffar ◽  
Majeed A.S. Alkanhal ◽  
Yasin Khan
Keyword(s):  
Electromagnetic Waves ◽  
Magnetized Plasma ◽  
Cylindrical Waveguides
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