Evidence is presented to show the transfer, via a collective electrostatic instability, of transverse energy to the longitudinal direction if the axial temperature of a beam is sufficiently low. Two-dimensional r,z electrostatic PIC simulations of a long coasting space-charge-dominated beam propagating in a uniform focused channel are presented to illustrate, for typical parameters, the develop...

In order to increase the intensities of the ion beams in the JINR-Dubna superconducting Synchrotron NUCLOTRON, to raise their energies and to inprove their quality a booster synchrotron is under design. This booster synchrotron needs some kind of multiturn injection to store particles. The multiturn injection with betatron stacking is simulated in this paper. The simulations reveal the optimum ...

The procedures used for dispersion and betatron matching in the first order optical tuning of the SLC Final Focus are described. Associated modelling and fitting algorithms are presented. A straightforward method for extending uncoupled optical models to incorporate cross-plane coupling is explained. Submitted to Nuclear Instruments and Methods A * Work supported by Department of Energy, contra...

The Beam Transfer Function (BTF) belongs to the most powerful beam diagnostics methods, providing direct measurements of beam stability properties, impedances and various beam and lattice parameters. Here, we report about the first measurement of the transverse BTF and the corresponding stability diagrams in SIS 18. By comparing experimental BTF and stability diagrams with theoretical expressio...

A completely new approach to measure beam emittance is examined. It is based on measuring the decay rate of coherent betatron-oscillation through nonlinear filamentation caused by lattice nonlinearity. Experimental results, computer simulations and analytic approach using differential algebra (DA) [1] [2] are presented. This method may provide useful tools in measuring emittance at high brightn...