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Title: Transverse mode coupling instability threshold with space charge and different wakefields

Abstract

Transverse mode coupling instability of a bunch with space charge and wake field is considered in frameworks of the boxcar model. Eigenfunctions of the bunch without wake are used as the basis for solution of the equations with the wake field included. Dispersion equation for the bunch eigentunes is obtained in the form of an infinite continued fraction. It is shown that influence of space charge on the instability essentially depends on the wake sign. In particular, threshold of the negative wake increases in absolute value until the space charge tune shift is rather small, and goes to zero at higher space charge. The explanation of this behavior is developed by analysis of the bunch spectrum. As a result, a comparison of the results with published articles is represented.

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:
1346581
Alternate Identifier(s):
OSTI ID: 1244508; OSTI ID: 1327019
Report Number(s):
FERMILAB-PUB-16-079-APC; arXiv:1603.03744; FERMILAB-PUB-16-328-APC; arXiv:1608.06243
Journal ID: ISSN 2469-9888; PRABCJ; 1427316
Grant/Contract Number:  
AC02-07CH11359; AC02-07CH11395
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Accelerators and Beams (Online)
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams (Online); Journal Volume: 20; Journal Issue: 3; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Balbekov, V. Transverse mode coupling instability threshold with space charge and different wakefields. United States: N. p., 2017. Web. doi:10.1103/PhysRevAccelBeams.20.034401.
Balbekov, V. Transverse mode coupling instability threshold with space charge and different wakefields. United States. doi:10.1103/PhysRevAccelBeams.20.034401.
Balbekov, V. Fri . "Transverse mode coupling instability threshold with space charge and different wakefields". United States. doi:10.1103/PhysRevAccelBeams.20.034401.
@article{osti_1346581,
title = {Transverse mode coupling instability threshold with space charge and different wakefields},
author = {Balbekov, V.},
abstractNote = {Transverse mode coupling instability of a bunch with space charge and wake field is considered in frameworks of the boxcar model. Eigenfunctions of the bunch without wake are used as the basis for solution of the equations with the wake field included. Dispersion equation for the bunch eigentunes is obtained in the form of an infinite continued fraction. It is shown that influence of space charge on the instability essentially depends on the wake sign. In particular, threshold of the negative wake increases in absolute value until the space charge tune shift is rather small, and goes to zero at higher space charge. The explanation of this behavior is developed by analysis of the bunch spectrum. As a result, a comparison of the results with published articles is represented.},
doi = {10.1103/PhysRevAccelBeams.20.034401},
journal = {Physical Review Accelerators and Beams (Online)},
number = 3,
volume = 20,
place = {United States},
year = {Fri Mar 10 00:00:00 EST 2017},
month = {Fri Mar 10 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevAccelBeams.20.034401

Citation Metrics:
Cited by: 1 work
Citation information provided by
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