Abstract
We propose using a radio frequency quadrupole (RFQ) to introduce both the longitudinal spread of betatron frequency and the transverse spread of synchrotron frequency for Landau damping of transverse beam instabilities in accelerators. The existing theory of stability diagrams for Landau damping is applied to the case of a RFQ. As an example, the required quadrupolar strength is calculated for stabilizing the Large Hadron Collider beams at 7 TeV. It is shown that this strength can be provided by a superconducting rf device only a few meters long.
Highlights
In accelerators the effect of Landau damping [1] provides a natural stabilizing mechanism against collective instabilities if particles in the beam have a small spread in their natural frequencies; see, for example, [2] and references therein
The purpose of this paper is to propose, for the first time, that a radio frequency quadrupole (RFQ) is used to introduce the longitudinal spread of betatron frequency for Landau damping of the transverse oscillations
The higher efficiency of the longitudinal spread for Landau damping allows for a compact, only a few meters long, rf device based on several 800 MHz superconducting cavities operating in a transverse magnetic (TM) quadrupolar mode to provide the same functionality as the Large Hadron Collider (LHC) octupoles whose total length is about 56 m
Summary
CERN, CH-1211 Geneva-23, Switzerland (Received 21 November 2013; published 31 January 2014). We propose using a radio frequency quadrupole (RFQ) to introduce both the longitudinal spread of betatron frequency and the transverse spread of synchrotron frequency for Landau damping of transverse beam instabilities in accelerators. The existing theory of stability diagrams for Landau damping is applied to the case of a RFQ. The required quadrupolar strength is calculated for stabilizing the Large Hadron Collider beams at 7 TeV. It is shown that this strength can be provided by a superconducting rf device only a few meters long
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