Abstract
Transverse mode coupling instability of a single bunch with space charge (SC) and a wakefield is considered within the framework of the boxcar model. Eigenfunctions of the bunch without a wake are used as a basis for the solution of the equations with the wakefield included. A dispersion equation for a constant wake is presented in the form of an infinite continued fraction and also as the recursive relation with an arbitrary number of basis functions. Realistic wakefields are considered as well including resistive wall, square, and oscillating wakes. It is shown that the transverse mode coupling instability threshold of the negative wake grows in absolute value when the SC tune shift increases. The threshold of the positive wake goes down at increasing the SC tune shift. The explanation is developed by an analysis of the bunch spectrum.
3 More- Received 23 August 2016
DOI:https://doi.org/10.1103/PhysRevAccelBeams.20.034401
Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Published by the American Physical Society