A generalized treatment of the electrostatic instability of rippled non-neutral magnetically focused electron beams

S. Cuperman, F. Petran

Research output: Contribution to journalArticlepeer-review

Abstract

A generalization of the stability analysis of rippled non-neutral electron beams is presented. The treatment covers regimes ranging between those known as ‘n flow’e/2i) and ‘ flow’« considers electrostatic surface waves with azimuthal symmetry (l= 0) as well as harmonic modes (I ≠h long-wavelength and short-wavelength domains are analysed. A general discussion of instability is given in terms of the solution of the Mathieu-Hill equation. New unstable modes are found and their growth rates are derived and compared.

Original languageEnglish
Pages (from-to)267-281
Number of pages15
JournalJournal of Plasma Physics
Volume26
Issue number2
DOIs
StatePublished - Oct 1981

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