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Effect of image charge on the off-axis transport of intense beams in a small aperture quadrupole lattice.

Authors :
Goswami, A.
Sing Babu, P.
Pandit, V. S.
Source :
Physics of Plasmas; Oct2013, Vol. 20 Issue 10, p103119-103119-10, 1p
Publication Year :
2013

Abstract

This paper investigates the first order image charge effects of circular conducting pipe on an intense off-axis continuous charged particle beam propagating through an alternating-gradient focusing channel. The equations of motion for the centroid and envelopes of slightly off-axis beam are derived and used to determine the equilibrium and stability conditions for the beam transport. The envelope oscillation frequencies of the mismatched beam are obtained by the smooth approximation method and by numerical evaluation of the linearly perturbed envelope equations. Depending on the beam intensity and focusing parameters, it is found that the frequency of the out-of-phase mode of envelope oscillation is reduced due to the presence of the conducting wall. Detailed numerical results for off-axis beam transport in a quadrupole lattice are presented and the stable regimes in the parameter space are determined numerically. It is observed that the unstable region for the envelope evolution with image charge effects depends on beam intensity and external focusing strength and increases with the off centering of the beam. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1070664X
Volume :
20
Issue :
10
Database :
Complementary Index
Journal :
Physics of Plasmas
Publication Type :
Academic Journal
Accession number :
91763888
Full Text :
https://doi.org/10.1063/1.4826509