An analytical treatment of self fields in a relativistic bunch of charged particles in a circular orbit

Author

Delhez, J.L. ; Hofman, J.M.A. ; Botman, J. T M ; Hagedoorn, H.L. ; Kleeven, W.J.G.M. ; Webers, G.A.

Author_Institution

Eindhoven Univ. of Technol., Netherlands

fYear

1993

fDate

17-20 May 1993

Firstpage

3423

Abstract

It is known that the electromagnetic field caused by a moving charge depends on its acceleration. Therefore, if a bunch of charged particles has a circular trajectory, the self fields in the bunch depend on the radius of curvature. We will treat these self fields analytically for a one-dimensional bunch, using the Lienard-Wiechert potentials. These depend on the retarded positions of the charges in the bunch. We will show that one only has to determine these positions explicitely for the endpoints of the bunch. The one-dimensional model predicts non-zero tangential and radial forces in the middle of the bunch which depend on its angular width and on its angular velocity. Expressions for these forces are presented. A comparison between the power loss due to coherent radiation and the tangential force exerted on the central electron of the bunch shows that there is a definite relation between these quantities

Keywords

beam handling techniques; particle beam diagnostics; Lienard-Wiechert potentials; angular velocity; angular width; bunch endpoints; charged particles; circular orbit; circular trajectory; coherent radiation power loss; curvature radius; electromagnetic field; moving charge; nonzero tangential radial forces; radial forces; relativistic bunch; self fields; Acceleration; Electromagnetic fields; Electrons; Equations; Frequency; Magnetic fields; Predictive models;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.309671

Filename

309671