Physics
Scientific paper
Aug 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004njph....6..113s&link_type=abstract
New Journal of Physics, Volume 6, Issue 1, pp. 113 (2004).
Physics
1
Scientific paper
The hole theory (Schamel H 1997 Phys. Rev. Lett. 79 2811) of longitudinal solitary structures superimposed on coasting beams, as has been seen recently in experiments, is evaluated in the zero-resistance limit to get new insight into the (de)focusing properties of wall impedances. It is found that the standard picture on (de)focusing, according to which a space-charge-dominated impedance is defocusing if the beam is below transition energy, as an example, does not always hold. Namely, this property (and picture), which can already be obtained by a simple waterbag model, remains true only when &\mathcal{L}<\mathcal{L}_c;, where &\mathcal{L}; is the wall inductance per unit length and &\mathcal{L}_c; is given by &\mathcal{L}_c=\mu_0/4\pi\beta^2\gamma^2;. For \mathcal{L} \,{>}\, \mathcal{L}_c, however, just the opposite (de)focusing property holds. Responsible for this new feature for coasting beams are wake-fields which are taken into account in a next-order self-consistent perturbation theory. It is argued, furthermore, why for bunched beams a similar result might also be expected.
Luque Alejandro
Schamel Hans
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