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Title: Nonlinear theory of transverse beam echoes

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 can exceed half the initial dipole kick amplitude. We show that multiple echoes can be observed provided the dipole kick is large enough. The spectrum of the echo pulse can be used to determine the nonlinear detuning parameter with small amplitude dipole kicks. Simulations are performed to check the theoretical predictions. In the useful ranges of dipole and quadrupole strengths, they are shown to be in reasonable agreement.
Authors:
ORCiD logo [1] ;  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Accelerator Physics Center
  2. Carleton College, Northfield, MN (United States)
Publication Date:
Report Number(s):
FERMILAB-PUB-17-402-APC; arXiv:1710.01664
Journal ID: ISSN 2469-9888; PRABCJ; 1628674
Grant/Contract Number:
AC02-07CH11359
Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 21; Journal Issue: 2; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS
OSTI Identifier:
1422457
Alternate Identifier(s):
OSTI ID: 1409353