Application of envelope instability to high-intensity rings

Author

Fedotov, A.V. ; Hofmann, I. ; Gluckstern, R.L. ; Okamoto, H.

Author_Institution

Brookhaven Nat. Lab., Upton, NY, USA

Volume

4

fYear

2003

fDate

12-16 May 2003

Firstpage

2592

Abstract

The space-charge limit is imposed by beam response to low-order machine resonances. Here, the coherent response of the beam to such resonances is discussed, including the parametric resonance of collective beam modes with the periodic lattice, also known as the "envelope instability", when the second-order beam modes are considered. The relation of this parametric resonance to the coherent resonance condition of an integer type is explained. Practical application of such resonant responses to both structural and imperfection driven harmonics is addressed.

Keywords

particle beam dynamics; particle beam stability; storage rings; beam response; coherent response; collective beam modes; envelope instability; high-intensity rings; imperfection driven harmonics; integer type relation; low-order machine resonances; parametric resonance; periodic lattice; second-order beam modes; space-charge limit; structural harmonics; Educational institutions; Equations; Frequency; Gold; Lattices; Magnetic fields; Magnetic resonance; Space charge; Stability; Stationary state;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the

ISSN

1063-3928

Print_ISBN

0-7803-7738-9

Type

conf

DOI

10.1109/PAC.2003.1289199

Filename

1289199