Abstract

High intensity ion beam dynamics in an axisymmetric rf focusing acceleration structure is considered. New equations of particles motion in polyharmonic rf field are devised by means of smooth approximation. Analysis of these equations allows one to formulate the conditions of beam stability. A new approach to rf focusing acceleration channel parameters choice is suggested. The relationship between 4D phase space volume of the bunch and transmission is studied by means of Hamiltonian analysis. The influence of the space charge on rf focusing conditions, transmission, longitudinal and transverse emittances, and other acceleration system characteristics is investigated by computer simulation. The ``superparticles'' method is being applied. The efficiency of the approach is confirmed by numerical simulation.

Highlights

  • Simultaneous longitudinal and transverse stability of the beam motion in linacs is known to be ensured either by using external focusing elements or by applying special configurations for accelerating rf fields; for low energy ion linacs, the latter is more effective

  • The model with two traveling waves was taken as the basis of alternating phase focusing (APF) description [4]

  • In one of the cases of axisymmetric rf focusing (ARF) we considered, it is supposed that n . s

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Summary

INTRODUCTION

Simultaneous longitudinal and transverse stability of the beam motion in linacs is known to be ensured either by using external focusing elements or by applying special configurations for accelerating rf fields (rf focusing); for low energy ion linacs, the latter is more effective. The model with two traveling waves was taken as the basis of APF description [4] In this model, a beam is accelerated by the field of a synchronous wave with a fixed sign of synchronous particle phase. Smooth approximation use was taken as a basis of the rf focusing systems considered in [8] In such an approach, the Hamiltonian analysis can be used for a complete 3D description of beam motion. The Hamiltonian analysis can be used for a complete 3D description of beam motion This method in a single particle model with the use of harmonic expansion for rf fields was further developed in [9,10] without taking into account the Coulomb interaction of particles. The influence of the Coulomb interaction is studied entirely by means of computer simulation

MOTION EQUATION
CAVITY PARAMETERS CHOICE
Acceleration channel parameters
Accelerating resonator
NUMERICAL SIMULATION
CONCLUSIONS
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