Table of Contents
Physics Research International
Volume 2010 (2010), Article ID 201730, 5 pages
http://dx.doi.org/10.1155/2010/201730
Research Article

Electric and Magnetic Fields Generated by a Charged Bunch between Parallel Conducting Plates

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia

Received 30 September 2010; Accepted 8 November 2010

Academic Editor: Han Pu

Copyright © 2010 B. Levchenko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Image fields generated by a bunch of charged particles between two parallel perfectly conducting plates are studied in detail. We derive exact analytical expressions for external fields of a charged relativistic bunch with a circular cross-section. Summation of image fields by the direct method invented by Laslett allows the infinite series to be represented in terms of elementary trigonometric functions.