Abstract
The coherent synchrotron radiation instability may be driven at the shielding threshold by a single mode excited in the beam pipe. Such a problem may have general interest for other one-mode dominated problems arising in plasma, free-electron laser theory, and microwave instability. The problem may have practical interest if the steady state exists but requires the study of the nonlinear regime of instability. The results of the study, both analytic and numerical, are presented in the coasting beam approximation and for a bunched beam.
Highlights
Coherent synchrotron radiation (CSR) can cause beam instability
In the previous paper [1] we studied the CSR
On the large scale time intervals the approach has to be reconsidered by taking the synchrotron motion into account, providing the impetus for this study
Summary
In the previous paper [1] we studied the CSR instability [2] of a coasting beam interacting with a single waveguide mode which may define beam dynamics close to the shielding threshold. The instability was studied both in linear and nonlinear regimes. On the large scale time intervals the approach has to be reconsidered by taking the synchrotron motion into account, providing the impetus for this study. Another motive is provided by the recent proposal to build a dedicated storage ring for the generation of infrared coherent radiation [3]. The results of numeric simulations are presented and compared with the qualitative analysis
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