A Al-Khateeb et al 2008 New J. Phys. 10 083008 doi:10.1088/1367-2630/10/8/083008
A Al-Khateeb1,2, R W Hasse, O Boine-Frankenheim and I Hofmann
Show affiliationsThe effect of an electron cloud on the longitudinal coupling impedance is studied by idealizing it as a cold and uniformly distributed non-neutral plasma of electrons. The beam pipe is assumed to be of circular cross section with a thick resistive wall and the beam charge is idealized as a uniform disk. The electron contribution to the charge and current densities is obtained from the collective electron response to the beam passage through the pipe. In the presence of the electron background, a general closed formula for the longitudinal coupling impedance is obtained. The screening of the coupling impedance with the density of the electron plasma is studied and discussed for typical parameters in an accelerator beam pipe for the under-dense and the over-dense plasma regions.
29.27.Bd Beam dynamics; collective effects and instabilities
29.20.db Storage rings and colliders
Accelerators, beams and electromagnetism
Issue 8 (August 2008)
Received 13 February 2008
Published 6 August 2008
A Al-Khateeb et al 2008 New J. Phys. 10 083008
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