Abstract
The general equations of motions are integrated, taking into account the coupling of the horizontal and vertical motions. Extraction parameters as first-harmonic field perturbations, the imperfection resonance v r = 1, and the difference (coupling) resonance v r = 2 v z are discussed. Special attention is given to representation of the v r = 2 v z resonance. The amplitude and azimuthal position of a first-harmonic field perturbation, in order to obtain a good extraction efficiency, are numerically determined.
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