"Self-action" of a weakly-relativistic charge in a cylindrical drift tube

Author

Gorbyk, G. ; Ilyenko, K. ; Yatsenko, T.

Author_Institution

Dept. of Theor. Phys., Inst. for Radiophys. & Electron. of NAS of Ukraine, Kharkiv, Ukraine

Volume

1

fYear

2005

fDate

19-23 Sept. 2005

Firstpage

119

Abstract

Using the method of Green\´s function in the Coulomb gauge, we calculate analytically the scalar potential and density of induced charges on the cylindrical drift tube walls caused by a moving weakly-relativistic point-like charge. In the quasielectrostatic approximation the force acting on the charge ("self-action") from the charges induced by it on the drift tube walls is obtained as a function of the radial distance from the axis of the tube. Interpolation expressions are built for the force. Obtained results allow one to estimate the influence of cylindrical drift tube walls, when studying the dynamics of nonneutralized particle beams moving in complex electromagnetic fields by the particle-in-cell method.

Keywords

Green´s function methods; drift chambers; electric charge; interpolation; relativistic electron beams; Coulomb gauge; Green function; complex electromagnetic fields; cylindrical drift tube walls; induced charges; interpolation expressions; nonneutralized particle beams; particle-in-cell method; point-like charge; quasielectrostatic approximation; weakly-relativistic charge; Boundary conditions; Electromagnetic fields; Electromagnetic waveguides; Green´s function methods; Interpolation; Laplace equations; Mathematics; Particle beams; Physics; Poisson equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Infrared and Millimeter Waves and 13th International Conference on Terahertz Electronics, 2005. IRMMW-THz 2005. The Joint 30th International Conference on

Print_ISBN

0-7803-9348-1

Type

conf

DOI

10.1109/ICIMW.2005.1572436

Filename

1572436