Abstract

A three-dimensional particle in cell simulation code has been developed to study the photoelectron cloud instabilities in KEKB LER. In this report, the program is described in detail. In particular, typical simulation results are presented for the photoelectron motion in various kinds of magnetic fields. The simulation shows that a solenoid is very effective in confining the photoelectrons to the vicinity of the vacuum chamber wall and in creating a region free of photoelectrons at the vacuum pipe center. The more uniform the solenoid field is, the more effectively does it suppress the electron-cloud buildup. Multipacting can occur both in a drift region and in a dipole magnet, and the heat load deposited on the chamber wall due to the lost electrons is important in these two cases. Electron trapping by the beam field as well as by various magnetic fields is an important phenomenon, especially inside quadrupole and sextupole magnets. Our numerical results qualitatively agree with the experimental studies.

Highlights

  • PACS numbers: 29.27.Bd, 02.60.Cb, 52.35.Qz, 29.20.Dh which enables the program to solve the general threedimensional problem

  • Arbitrary magnetic fields, space charge of electron cloud, and secondary emission are all taken into account in the program

  • If the vacuum chamber is of a round shape, as in the KEKB Low Energy Ring (LER), we can alternatively use a Green function to compute the potential

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Summary

Zimmermann

European Organization for Nuclear Research, CERN, Geneva, Switzerland (Received 4 July 2002; published 6 December 2002). A three-dimensional particle in cell simulation code has been developed to study the photoelectron cloud instabilities in KEKB LER. Typical simulation results are presented for the photoelectron motion in various kinds of magnetic fields. The simulation shows that a solenoid is very effective in confining the photoelectrons to the vicinity of the vacuum chamber wall and in creating a region free of photoelectrons at the vacuum pipe center. The more uniform the solenoid field is, the more effectively does it suppress the electron-cloud buildup. Multipacting can occur both in a drift region and in a dipole magnet, and the heat load deposited on the chamber wall due to the lost electrons is important in these two cases.

INTRODUCTION
A C-yoke consists of two permanent magnets and a
METHOD
E Est Es t exp st
Multipacting in drift region and dipole magnet
Photoelectron trapping in beam electric field and magnetic fields
Trapping in the beam field
Trapping in the periodic solenoid field
Trapping in dipole magnet
Heat load of photoelectron cloud
Buildup of electron cloud
Findings
SUMMARY AND CONCLUSIONS

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