Published November 14, 1994 | Version v1
Journal article

Negative resistance instability due to nonlinear damping

  • 1. Fermilab, P.O. Box 500, Batavia, Illinois 60510 (United States)
  • 2. Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala (Sweden)
  • 3. Indiana University Cyclotron Facility, 2401 Milo B. Sampson Lane, Bloomington Indiana 47408 (United States)

Description

The longitudinal dynamics of a stored proton beam bunch, acted upon by a nonlinear damping force, was studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. The effect of the nonlinear damping force on synchrotron motion was explored by varying the relative velocity between the cooling electron and the stored proton beams. Maintained longitudinal oscillations were observed, whose amplitude grew rapidly once a critical threshold in the relative velocity between the proton and electron beams was exceeded. We attribute this phenomenon to a negative resistance instability occurring after a Hopf bifurcation

Additional details

Publishing Information

Journal Title
Physical Review Letters
Journal Volume
73
Journal Issue
20
Journal Page Range
p. 2696-2699.
ISSN
0031-9007
CODEN
PRLTAO