Relativistic motion of a charged particle in a superposition of circularly polarized plane electromagnetic waves and a uniform magnetic field

2000 ◽  
Vol 7 (2) ◽  
pp. 537-543 ◽  
Author(s):  
Bao-Liang Qian
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Electromagnetic Waves ◽  
Uniform Magnetic Field ◽  
Relativistic Motion ◽  
Circularly Polarized

On gyroresonance

1968 ◽  
Vol 2 (1) ◽  
pp. 59-64 ◽  
Author(s):  
M. J. Laird
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Pitch Angle ◽  
Uniform Magnetic Field ◽  
Equations Of Motion ◽  
Circularly Polarized ◽  
Simple Picture

The motion of a charged particle in the field of a plane circularly polarized wave propagating along a uniform magnetic field B0 is investigated. For the wave magnetic field small compared with B0, the equations of motion simplify to those of the pendulum, and a simple picture of what happens for particles near gyro- resonance results. Expressions are found for the amplitude and period of the pitch angle oscillations. Departures from uniformity and possible applications to the magnetosphere are briefly discussed.

Whistler instability in plasmas with anisotropic and non-Maxwellian velocity distributions

1971 ◽  
Vol 6 (3) ◽  
pp. 449-456 ◽  
Author(s):  
Kai Fong Lee
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Transverse Velocity ◽  
Distribution Functions ◽  
Loss Cone ◽  
Circularly Polarized ◽  
Electron Plasmas ◽  
Thermal Spread ◽  
The Magnetic Field

The instability of right-handed, circularly polarized electromagnetic waves, propagating along an external magnetic field (whistler mode), is studied for electron plasmas with distribution functions peaked at some non-zero value of the transverse velocity. Based on the linearized Vlasov-Maxwell equations, the criteria for instability are given both for non-resonant instabilities arising from distribution functions with no thermal spread parallel to the magnetic field, and for resonant instabilities arising from distribution functions with Maxwellian dependence in the parallel velocities. It is found that, in general, the higher the average perpendicular energy, the more is the plasma susceptible to the whistler instability. These criteria are then applied to a sharply peaked ring distribution, and to loss-cone distributions of the Dory, Guest & Harris (1965) type.

scholarly journals DOUBLE WAVE DESCRIPTION OF THE MOTION OF A CHARGED PARTICLE IN A UNIFORM MAGNETIC FIELD

1993 ◽  
Vol 42 (2) ◽  
pp. 180
Author(s):  
HUANG XIANG-YOU ◽  
LIU QUAN-HUI ◽  
TIAN XU ◽  
QIU ZHONG-PING
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Uniform Magnetic Field
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