Abstract

To achieve high focal spot intensities in heavy-ion fusion, the ion beam must be compressed longitudinally by factors of 10–100 before it is focused onto the target. The longitudinal compression is achieved by imposing an initial velocity profile tilt on the drifting beam. In this paper, the problem of longitudinal drift compression of intense charged-particle beams is solved analytically for the two important cases corresponding to a cold beam, and a pressure-dominated beam, using a one-dimensional warm-fluid model describing the longitudinal beam dynamics.

Highlights

  • High energy ion accelerators, transport systems and storage rings [1–5] have a wide range of applications ranging from basic research in high energy and nuclear physics, to applications such as heavy ion fusion, spallation neutron sources, and nuclear waste transmutation

  • During the beam shaping stage, the longitudinal pressure and electric field are negligible and the beam dynamics is governed by free convection decribed by

  • We have studied the longitudinal drift compression of an intense charged particle beam using a one-dimensional warm-fluid model

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Summary

INTRODUCTION

Transport systems and storage rings [1–5] have a wide range of applications ranging from basic research in high energy and nuclear physics, to applications such as heavy ion fusion, spallation neutron sources, and nuclear waste transmutation. While considerable progress has been made in analytical and numerical simulation studies of intense beam propagation [6–71], the effects of finite geometry and intense selffields often make it difficult to obtain detailed predictions of beam equilibrium, stability, and transport properties based on the Vlasov-Maxwell equations To overcome this complexity, considerable theoretical progress has been made in the development and application of one-dimensional Vlasov-Maxwell models [72–79] to describe the longitudinal beam dynamics for a long coasting beam, with applications ranging from plasma echo excitations, to the investigation of coherent soliton structures, both compressional and rarefactive (hole-like). This stage requires beam manipulation (imposing the velocity tilt) and is done when the charge bunch is very long At this stage, the longitudinal pressure and electric field are negligible, and the beam dynamics is governed by free convection.

THEORETICAL MODEL
GENERAL SOLUTION
GENERAL SOLUTION OF THE INITIAL VALUE PROBLEM
Pressure-dominated beam
Cold beam
Linear density profile
Flat-top density profile
BEAM SHAPING
CONCLUSIONS
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