Abstract

Advanced storage ring concepts for intense ion beams often require operation far outside the stability boundaries provided by Landau damping. Whether a machine can be operated in such a regime depends on the phase space dilution after saturation of the microwave instability. A Vlasov simulation model is employed to analyze the saturation mechanisms in space charge dominated coasting beams. The stabilizing effect of space charge [I. Hofmann, Laser Part. Beams 3, 1 (1985)] is addressed to fluidlike mode coupling effects.

Highlights

  • Intense beams in storage or accumulator rings operated below transition are an integral part of many advanced accelerator applications, such as, e.g., heavy ion driven inertial fusion (HIDIF) [1] and proton drivers for neutrino factories

  • Vbb ഠ 0.15 we still observe exponential growth, but the peak current amplitude at n ෇ nr is effectively limited by space charge induced mode coupling, thereby inhibiting the phase space “blowup.” The shape of the final velocity distribution differs from the initial distribution only because of a bump around yz ഠ 22c0

  • By means of Vlasov simulations we showed that, for sufficient amplitudes, the decay of an initial current modulation due to Landau damping can be strongly inhibited in the presence of space charge

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Summary

INTRODUCTION

Intense beams in storage or accumulator rings operated below transition are an integral part of many advanced accelerator applications, such as, e.g., heavy ion driven inertial fusion (HIDIF) [1] and proton drivers for neutrino factories. The success of these applications depends crucially on the conservation of longitudinal beam quality during the required storage time. The possibility of a nonlinear stabilization of the microwave instability in a space charge dominated beam was first studied by particle-in-cell (PIC) computer simulations in Ref. Using beam parameters relevant for a storage ring in a heavy ion fusion driver scenario, it was demonstrated that a sufficiently strong space charge impedance stabilizes the microwave instability. VI the Vlasov simulation code is applied to the microwave instability

KINETIC DESCRIPTION
REVIEW OF THE LINEARIZED THEORY
SIMULATION MODEL
NONLINEAR COLLECTIVE PHENOMENA IN STABLE BEAMS
Nonlinear Landau damping
Wave steepening and breaking
Solitons
STABILIZATION OF THE MICROWAVE INSTABILITY
CONCLUSIONS
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