Title :
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
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;
Conference_Titel :
Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the
Print_ISBN :
0-7803-7738-9
DOI :
10.1109/PAC.2003.1289199
