Abstract
We have studied the autophasing conditions in long linear accelerators for a phase advance scaling along the machine instead of the usual beta scaling. A new lattice scaling provides the damping of the resonant enlargement of bunches in transverse wakefields with small required correlated energy spread in the bunch. In addition, such an approach allows one to keep the amplitude of coherent betatron oscillations small by a proper choice of the phase advance at the first cell. It is shown that the scaling of the phase advance per cell gives significant advantages with respect to singlebunch and multibunch instabilities.
Highlights
The emittance preservation of the accelerated beams in future linear colliders is one of the basic problems which has to be solved to achieve design luminosity of the colliding beams
The autophasing conditions, known as one of the consequences of BNS damping in linear accelerators, provide that the transverse kicks to trailing particles caused by wakefields are, on average, compensated by the corresponding additional focusing on the quadrupoles of the lattice
The autophasing conditions imply an increase in beta with the square root of energy, which in turn increases the amplitude of coherent betatron oscillations and induces the multibunch instability
Summary
The emittance preservation of the accelerated beams in future linear colliders is one of the basic problems which has to be solved to achieve design luminosity of the colliding beams. The autophasing conditions, known as one of the consequences of BNS damping in linear accelerators, provide that the transverse kicks to trailing particles caused by wakefields are, on average, compensated by the corresponding additional focusing on the quadrupoles of the lattice. The autophasing conditions imply an increase in beta with the square root of energy, which in turn increases the amplitude of coherent betatron oscillations and induces the multibunch instability Another approach is to scale the phase advance per cell along the linear accelerator via the chromaticity of the focusing lattice keeping the cell arrangement unchanged [5,6]. We analyze the autophasing conditions with scaled chromaticity along the linac and the corresponding reduction of the amplitude of coherent betatron oscillations in terms of the parameters of the focusing lattice
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