Title :
Nonlinear dynamics of single bunch instability
Author :
Stupakov, G.V. ; Breizman, B.N. ; Pekker, M.S.
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
A nonlinear equation is derived that governs the evolution of the amplitude of unstable oscillations with account of quantum diffusion effects due to the synchrotron radiation. Numerical solutions to this equation predict a variety of possible scenarios of nonlinear evolution of the instability some of which are in good qualitative agreement with experimental observations
Keywords :
X-ray production; electron accelerators; nonlinear dynamical systems; particle beam bunching; particle beam stability; storage rings; electron storage rings; nonlinear dynamics; nonlinear equation; nonlinear evolution; numerical solutions; quantum diffusion; single bunch instability; synchrotron radiation; unstable oscillations; Acceleration; Damping; Distribution functions; Ear; Linear accelerators; Nonlinear equations; Particle accelerators; Phase measurement; Poisson equations; Synchrotron radiation;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750784
