Nonlinear Space Charge Effects and Emittance Growth in Linac

  • The nonlinear space charge effect of bunched beam in linac is one of the important reasons that induce the emittance growth. The general formulas for calculating the potential of space charge with nonuniform distribuhon in surrounding structure are presented. For a bunched beam with different distribuhon in waveguide of linac, the expresses of the nonlinear field energy of a cylinder model of space charge are derived, and the numerical results of the nonlinear field energy for different density distributions are given. The emittance growthes caused by these nonuniformities are discussed.
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  • [1] Lapostolle M. IEEE Trans. Nucl. Sci., 1971, 18: 1101–11032 Sacherer F. IEEE Trans. Nucl. Sci., 1971, 18: 1105–1107 3 Struckmeier J, klabunde J, Reiser M. Part. Acc., 1984, 15:47–654 Wangler T P, Crandall K R. Mills R S et al. IEEE Trans. Nucl. Sci., 1985, 32:2196–2198 5 Hofmann I, Struckmeier J. Part. Acc., 1987, 21:69–986 Wangler T P, Lapostolle P, Lombardi A. Space–Charge–Induced Emittance Growth in An Elliptical Beamwith A Parabolic Density Distribution. In: Corneliussen S T ed. Conference Record of the IEEE 1993Particle Accelerator Conference, 93CH3279–7, Vo1.5. NJ: Institute of Electrical and Electronics Engineers,Inc., IEEE Service Center, 1993, 3606–36087 Reiser M. Theory and Design of Charged Particle Beams. New York: John Wiley Sons, Inc., 1994. 467–5638 Chen Yinbao, Xie Xi. Chin. J. Nucl. Phys.(in Chinese), 1979,1: 107–128 (陈银宝,谢羲.原子核物理,1979,1:107–128) 9 Hechtel J. IEEE Trans. on Electron Devices, 1970, 15:999–1009 10 Chen Yinbao. Nonlinear Space Charge Effects of Bunched Beam in Linac. Beijing: Atomic Energy Press,1992. 1–15 11 Chen Yinbao, Fu Sinian, Huang Zhibin et al. Chin. J. Nucl. Phys., 1995, 17(1):81–88 12 Chen Yinbao, Fu Sinian, Huang Zhibin et al. Chin. J. Nucl. Phys., 1995, 17(2):174–178
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Chen Yinbao and Huang Zhibin. Nonlinear Space Charge Effects and Emittance Growth in Linac[J]. Chinese Physics C, 1999, 23(12): 1231-1242.
Chen Yinbao and Huang Zhibin. Nonlinear Space Charge Effects and Emittance Growth in Linac[J]. Chinese Physics C, 1999, 23(12): 1231-1242. shu
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Received: 1998-11-02
Revised: 1900-01-01
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Nonlinear Space Charge Effects and Emittance Growth in Linac

    Corresponding author: Chen Yinbao,
  • China Institute of Atomic Energy, Beokomg 102413

Abstract: The nonlinear space charge effect of bunched beam in linac is one of the important reasons that induce the emittance growth. The general formulas for calculating the potential of space charge with nonuniform distribuhon in surrounding structure are presented. For a bunched beam with different distribuhon in waveguide of linac, the expresses of the nonlinear field energy of a cylinder model of space charge are derived, and the numerical results of the nonlinear field energy for different density distributions are given. The emittance growthes caused by these nonuniformities are discussed.

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