Title :
Particle motion in the stable region near the edge of a linear sum resonance stopband
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
This paper studies the particle motion when the tune is in the stable region close to the edge of linear sum resonance stopband. Results are found for the tune and the beta functions. Results are also found for the two solutions of the equations of motion. The results found are shown to be also valid for small accelerators where the large accelerator approximation may not be used
Keywords :
particle accelerators; particle beam stability; beta functions; equations of motion; linear sum resonance stopband edge; particle motion; small accelerators; stable region; tune; Argon; Differential equations; Laboratories; Lattices; Linear accelerators; Particle accelerators; Resonance;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750715
