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Title: Nonlinear theory of transverse beam echoes

Abstract

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:
;
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1422457
Alternate Identifier(s):
OSTI ID: 1409353
Report Number(s):
FERMILAB-PUB-17-402-APC; arXiv:1710.01664
Journal ID: ISSN 2469-9888; PRABCJ; 021002
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 21 Journal Issue: 2; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Sen, Tanaji, and Li, Yuan Shen. Nonlinear theory of transverse beam echoes. United States: N. p., 2018. Web. doi:10.1103/PhysRevAccelBeams.21.021002.
Sen, Tanaji, & Li, Yuan Shen. Nonlinear theory of transverse beam echoes. United States. doi:10.1103/PhysRevAccelBeams.21.021002.
Sen, Tanaji, and Li, Yuan Shen. Fri . "Nonlinear theory of transverse beam echoes". United States. doi:10.1103/PhysRevAccelBeams.21.021002.
@article{osti_1422457,
title = {Nonlinear theory of transverse beam echoes},
author = {Sen, Tanaji and Li, Yuan Shen},
abstractNote = {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.},
doi = {10.1103/PhysRevAccelBeams.21.021002},
journal = {Physical Review Accelerators and Beams},
number = 2,
volume = 21,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.21.021002

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Works referenced in this record:

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