Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding control problem since typical sample times of the beam-feedback loop are on the order of several μs to several hundred ns. This work examines if model predictive control is a suitable candidate for longitudinal beam feedba...

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier paper [1] it has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the macroscopic w...

The AGS Slow Extracted Beam (SEB) must be chopped with 250 ps bursts every 40 ns to permit time-of-flight (ToF) measurement of the secondary K 0 beam. Standard techniques to produce this level of bunching would require excessive rf voltage, thus we have developed a “MicroBunching” technique of extracting the beam as it is forced between empty rf buckets. A specification of the required rf syste...

The interaction of a 2 MeV proton beam with an ultrathin unbent Si crystal was studied through simulation and experiment. Crystal thickness along the beam was set at 92 nm, i.e., at half the oscillation wavelength of the protons in the crystal under planar channeling condition. As the nominal beam direction is inclined by less than the critical angle for planar channeling with respect to the cr...

the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

Neutral uncharged molecules are affected by the electromagnetic field of a charged particle beam if they carry either an electric or magnetic dipole moment. The residual gas in accelerator pipe consists such molecules. In this paper we study their dynamics. Under few approximations, whose validity explore and justify, derive equations motion neutral invariants, determine conditions for these to...