Nonlinear theory of transverse beam echoes

  title={Nonlinear theory of transverse beam echoes},
  author={Tanaji Sen and Yuan Li},
  journal={Physical review accelerators and beams},
  • T. SenYuan Li
  • Published 4 October 2017
  • Physics
  • Physical review accelerators and beams
Transverse beam echoes can be excited with a single dipole kick followed by a single quadrupole kick. They have been used to measure diffusion in hadron beams and have other diagnostic capabilities. Here we develop theories of the transverse echo nonlinear in both the dipole and quadrupole kick strengths. The theories predict the maximum echo amplitudes and the optimum strength parameters. We find that the echo amplitude increases with smaller beam emittance and the asymptotic echo amplitude… 

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