Analysis of the longitudinal space charge impedance of a round uniform beam inside parallel plates and rectangular chamber

Abstract

This paper analyzes the longitudinal space charge (LSC) impedances of a round uniform beam inside a rectangular and parallel plate chambers using the image charge method. This analysis is valid for arbitrary wavelengths and the calculation converges fast. The research shows that only a few of the image beams are needed to obtain a relative error less than 0.1%. The beam offset effect is also discussed in the analysis.

17 Pages, 13 Figures, submitted to PRST-AB

References in corpus (1)

• Approximate longitudinal space charge impedances of a round beam between parallel plates and inside a rectangular chamber

Cited by in corpus (1)

• Wake fields and impedance of space charge in Cartesian coordinate system