Physics of Intense Charged Particle Beams in High Energy Accelerators

Paul Trap Simulator Experiment to Model Intense-Beam Propagation in Alternating-Gradient Transport Systems

“…Intense beam propagation [1][2][3][4][5][6] is an active area of research and is at the center of various scientific studies, including heavy ion fusion, spallation neutron sources, high energy physics, nonlinear dynamics, and nuclear waste transmutation. The results presented here demonstrate that the Paul Trap Simulator Experiment (PTSX) is capable of simulating, in a compact cylindrical Paul trap [7], beams with intensities up to 80% of the space-charge limit and that propagate for equivalent distances of over 10 km.…”

“…The voltage applied to the electrodes has the form ±V 0 (t) = ±V 0 max g(t), and g(t) is a periodic function with unit amplitude and frequency f . For r/r w 1, the resulting ponderomotive force is proportional to the displacement from the axis, and the frequency of the transverse oscillations is given in the smooth-focusing approximation by [1,10,11] …”

Overview of theory and modeling in the heavy ion fusion virtual national laboratory

“…Examples include: detailed analytical and nonlinear perturbative simulation studies of collective processes, including the electron-ion two-stream instability [2][3][4][5][6][7], and the Harrislike temperature-anisotropy instability driven by T ⊥b T b [8][9][10][11]; development of a selfconsistent theoretical model of charge and current neutralization for intense beam propagation through background plasma in the target chamber [12][13][14][15]; development of a robust theoretical model of beam compression dynamics and nonlinear beam dynamics in the final focus system using a warm-fluid description [16]; development of an improved kinetic description of nonlinear beam dynamics using the Vlasov-Maxwell equations [2,[17][18][19][20], including identification of the class of (stable) beam distributions, and the development of…”

“…The nonlinear δf scheme exhibits minimal noise and accuracy problems in comparison with standard particlein-cell simulations. This simulation scheme is implemented in the newly developed Beam Equilibrium Stability and Transport (BEST) code [2][3][4]. This code provides an effective numerical tool to investigate collective instabilities, periodically-focused beam propagation in alternating-gradient focusing fields, halo formation, and any other important nonlinear processes in intense beam propagation.…”

An optical Hamiltonian experiment and the beam dynamics

“…The single particle dynamics allows to study the long term dynamics aperture in hadron circular accelerators [8] whereas the Liuoville equation is useful in the nonlinear transport problem where collective effects are relevant In particular in high intensity beams we have a self-consistent Hamiltonian which depends on the distribution ρ itself (Poisson-Vlasov problem [9]). Due to the periodic structure of the magnetic lattice (i.e.…”