Adiabatic Expansion of Electron Beam

  • The temperature of electron beam is an important parameter in electron cooling device. Transverse temperature will be reduced When an electron beam passes through a negative gradient magnetic field. Some theoretical approaches on adiabatic expansion are presented here. Adiabatic expansion of the electron beam moving in different magnetic fields with different energy and current was investigated by computer simulation. The results show that the transverse temperature of the electron beam is reduced by a factor equal to the ratio between the initial and final magnetic field strengths, provided that the field change is adiabatic with respect to the cyclotron motion of the electrons.
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  • [1] Bosser J. Electron Cooling. In: Turner S. CERN95 – 06, Vol. 2. Geneva: CERN, 1995 , 673–7302 RAO YiNong et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1996,20(4): 369–375(饶亦农等.高能物理与核物理,1996,20(4):369–375) 3 Meshkov I N. Physics and Technique of Electron Cooling. Tokyo: RIKEN–AF–AC–2, 1997 4 Danared H. Electron Cooling with an Electron Beam of 10 meV Transverse Temperature. In: Bosser J. Proceedings of Workshop on Beam Cooling and Related Topics. Geneva: CERN(94–03 ), 1994, 322–3265 Jackson J D. Classical Electrodynamics. Beijing:High Education Press (in Chinese), 1983(杰克逊J D.经典电动力学.北京:高等教育出版社,1983)6 Born M. The Mechanics of the Atom,Bell London, 1927 7 Bosser. J. Some Issues of the Electron Beam Neutralization and of the Magnetic Expansion on the Transverse Velocity.Geneva: CERN PS/AR/Note 96–20, 1996
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YANG XiaoDong, SONG MingTao, XIA JiaWen, WEI BaoWen and WU JunLi. Adiabatic Expansion of Electron Beam[J]. Chinese Physics C, 2000, 24(12): 1179-1184.
YANG XiaoDong, SONG MingTao, XIA JiaWen, WEI BaoWen and WU JunLi. Adiabatic Expansion of Electron Beam[J]. Chinese Physics C, 2000, 24(12): 1179-1184. shu
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Received: 1999-08-11
Revised: 1900-01-01
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Adiabatic Expansion of Electron Beam

    Corresponding author: YANG XiaoDong,
  • Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China

Abstract: The temperature of electron beam is an important parameter in electron cooling device. Transverse temperature will be reduced When an electron beam passes through a negative gradient magnetic field. Some theoretical approaches on adiabatic expansion are presented here. Adiabatic expansion of the electron beam moving in different magnetic fields with different energy and current was investigated by computer simulation. The results show that the transverse temperature of the electron beam is reduced by a factor equal to the ratio between the initial and final magnetic field strengths, provided that the field change is adiabatic with respect to the cyclotron motion of the electrons.

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