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

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.
Publication Date:
OSTI Identifier:
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
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
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