Beam Instabilities in Linear Machines: Space Charge Effects

Massimo Ferrario

Abstract


In this paper we introduce, from basic principles, the main concepts of beam focusing and transport in modern accelerators using the beam envelope equation as a convenient mathematical tool. Matching conditions suitable for preserving beam quality are derived from the model for significant beam dynamics regimes.


Keywords


Beam matching; rms emittance; laminar beam; space charge effects; rms envelope equations.

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DOI: http://dx.doi.org/10.23730/CYRSP-2017-003.121

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