scholarly journals Drift of a Charged Particle in a Static Magnetic Field Having a Power Law Dependence

1975 ◽  
Vol 28 (3) ◽  
pp. 289 ◽  
Author(s):  
M Headland ◽  
PW Seymour
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Exact Solutions ◽  
Drift Velocity ◽  
Static Magnetic Field ◽  
Special Solutions ◽  
Complete Elliptic Integrals ◽  
Bound Orbits ◽  
Constant Gradient ◽  
Velocity Region

As a generalization of Seymour's (1959) exact solution for the drift velocity of a charged particle in a static magnetic field of constant gradient, exact solutions are obtained for charged particle drift in a static magnetic field represented by B. = AX', where A and IX are constants. Four cases of bound orbits are analysed. Exact solutions in terms of hypergeometric, confluent hypergeometric and gamma functions are obtained for the displacement Ay per cycle, the periodic time T and the drift velocity Vd. The special solutions in terms of complete elliptic integrals obtained by Seymour (1959) are also recovered. Calculated exact drift velocity characteristics for representative conditions are presented, and the manner in which the exact curves merge into the Alfven approximate drift velocity region is indicated.

Drift of a Charged Particle in a Magnetic Field of Constant Gradient

1959 ◽  
Vol 12 (4) ◽  
pp. 309 ◽  
Author(s):  
PW Seymour
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Small Perturbation ◽  
Drift Velocity ◽  
Order Theory ◽  
Simple Expression ◽  
Uniform Field ◽  
First Order ◽  
First Order Theory ◽  
Constant Gradient

A simple expression for the drift velocity of a charged particle moving in an inhomo, geneous magnetic field has been obtained by Alfven, who, in his first-order theory, considered the inhomogeneity as a small perturbation of a uniform field,

Exact solutions for vertically polarized electromaǵnetic waves in a horizontally stratified maǵneto-plasma

1970 ◽  
Vol 67 (2) ◽  
pp. 491-501 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Magnetic Field ◽  
Refractive Index ◽  
Wave Propagation ◽  
Exact Solutions ◽  
Radio Wave ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Anisotropic Media ◽  
Radio Wave Propagation ◽  
Isotropic Media

AbstractIn a previous paper (11) refractive index profiles capable of yielding exact solutions for vertically polarized electromagnetic waves propagating in horizontally stratified isotropic media were derived systematically. The present work extends the method to deal with anisotropic media in which propagation is transverse to a horizontally applied static magnetic field. The relevance to ELF radio wave propagation in the terrestrial ionosphere is noted.

scholarly journals On The Adiabatic Motion Of A Charged Particle In The Quasi-Static Magnetic Field Of A Solenoid

1966 ◽  
Vol 19 (6) ◽  
pp. 735 ◽  
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Static Magnetic Field ◽  
Time Dependent ◽  
Adiabatic Motion ◽  
Phase Amplitude

Following an alternative phase-amplitude derivation of the general forms of r and q, obtained earlier by Seymour, Leipnik, and Nicholson (SLN) for the motion of a charged particle in the time-dependent magnetic field within a long solenoid, the guiding-ce

scholarly journals Optimized laser vacuum acceleration by static magnetic field

2015 ◽  
Vol 33 (3) ◽  
pp. 433-437 ◽  
Author(s):  
H. Lin ◽  
C. P. Liu ◽  
C. Wang ◽  
B. F. Shen
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Kinetic Energy ◽  
Electric Field ◽  
Static Magnetic Field ◽  
Vacuum Acceleration ◽  
High Kinetic Energy

AbstractLaser vacuum acceleration can be optimized significantly by applying a static magnetic field which is along the direction of laser magnetic field. This setup can cause a charged particle to be of a periodic, oscillatory-rising velocity, and significantly high kinetic energy. Moreover, the contribution from the motion vertical to accelerating electric field is fully taken into account and is found to be essential to efficient acceleration.

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