Transverse mode coupling instability threshold with space charge and different wakefields

Balbekov, V.

doi:10.1103/PhysRevAccelBeams.20.034401

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

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Abstract

Transverse mode coupling instability of a bunch with space charge and wake field is considered within the frameworks of the boxcar model. Eigenfunctions of the bunch without wake are used as a basis for the solution of the equations with the wake field included. A dispersion equation for constant wake is presented in the form of an infinite continued fraction and also as the recursive relation with an arbitrary number of the basis functions. Realistic wake fields are considered as well including resistive wall, square, and oscillating wakes. It is shown that the TMCI threshold of the negative wake grows up in absolute value when the SC tune shift increases. Threshold of positive wake goes down at the increasing SC tune shift. Finally, the explanation is developed by an analysis of the bunch spectrum.

Authors:: Balbekov, V.

Publication Date:: Fri Mar 10 00:00:00 EST 2017

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

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; 034401

Grant/Contract Number:: AC02-07CH11395; 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: 20 Journal Issue: 3; Journal ID: ISSN 2469-9888

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 43 PARTICLE ACCELERATORS

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                    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.

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                    Balbekov, V. Transverse mode coupling instability threshold with space charge and different wakefields.  United States.  https://doi.org/10.1103/PhysRevAccelBeams.20.034401

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                    Balbekov, V. Fri .  
"Transverse mode coupling instability threshold with space charge and different wakefields".  United States.  https://doi.org/10.1103/PhysRevAccelBeams.20.034401.

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@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 within the frameworks of the boxcar model. Eigenfunctions of the bunch without wake are used as a basis for the solution of the equations with the wake field included. A dispersion equation for constant wake is presented in the form of an infinite continued fraction and also as the recursive relation with an arbitrary number of the basis functions. Realistic wake fields are considered as well including resistive wall, square, and oscillating wakes. It is shown that the TMCI threshold of the negative wake grows up in absolute value when the SC tune shift increases. Threshold of positive wake goes down at the increasing SC tune shift. Finally, the explanation is developed by an analysis of the bunch spectrum.},

  doi          = {10.1103/PhysRevAccelBeams.20.034401},

  journal      = {Physical Review Accelerators and Beams},

  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}

}

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