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

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

L. Wang and Y. Li

Phys. Rev. ST Accel. Beams 18, 024201 – Published 3 February 2015

Abstract

This paper analyzes the longitudinal space charge 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 calculations converge rapidly. 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.

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Received 10 July 2014

DOI:https://doi.org/10.1103/PhysRevSTAB.18.024201

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Published by the American Physical Society

Authors & Affiliations

L. Wang^*

SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA

Y. Li

Department of Physics, Michigan State University, East Lansing, Michigan 48824, USA

^*WANGLF@slac.stanford.edu

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Issue

Vol. 18, Iss. 2 — February 2015

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