Lagrange Envelope Equations of the Charged Particles Bunch Moving in a Azimuthally Symmetric Magnetic Field

2019 ◽  
Vol 16 (6) ◽  
pp. 907-910
Author(s):  
V. K. Baev ◽  
G. O. Buyanov ◽  
A. P. Klachkov
1958 ◽  
Vol 6 ◽  
pp. 446-447
Author(s):  
Willard H. Bennett

A tube has been developed in which the shapes of streams of charged particles moving in the earth's magnetic field can be produced accurately to scale. The tube has been named the Störmertron in honor of Carl Störmer who calculated many such orbits. New developments which have made this tube possible include a method for coating the inside of large glass tubes with a transparent electrically conducting film, and an electron gun producing gas-focused streams in less than ½ micron of mercury vapor, a nearly vapor-free grease joint, and a nearly vapor-free carbon black. The magnetic dipole field of the earth is simulated with an Alnico magnet capped with properly shaped soft iron caps. The stream is deflected using two pairs of yoke coils near the gun.


1993 ◽  
Vol 73 (5) ◽  
pp. 2364-2375 ◽  
Author(s):  
A. Ishibashi ◽  
D. G. Ravenhall ◽  
R. L. Schult ◽  
H. W. Wyld

2010 ◽  
Vol 97-101 ◽  
pp. 4141-4145 ◽  
Author(s):  
Li Min Shi ◽  
Er Liang Liu ◽  
Yong Jiang Niu ◽  
Yu Quan Chen

Traditionally, the magnetic field is always vertical to the electrical field in a magnetic-electrochemical compound polishing.The magnetic field is set to parallel the electrical field in this paper. The mathematical model of the charged particles movement in a magnetic field is established through the analysis of its movement process when using Coulomb laws and Lorentz force. Through constructing the velocity formulation and loci formulation, the function of the magnetic field is proved. Because of the magnetic field, the concentration polarization of electrochemical reaction can be reduced more and the electrochemical reaction can be accelerated easily than the traditional polishing in which the magnetic field is vertical to the electrical field. Finally, to verify the model, the magnetic-electrochemical compound polishing process has been tested and the results, compared with those obtained from the model, have shown the movement model is reasonable and the analysis to function of magnetic field is correct.


Sign in / Sign up

Export Citation Format

Share Document