Effects of the Relativistic Electron Beam on the Phase Velocity of RF Field in Accelerator

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PAN Wei-Min, LI Zhong-Quan and XIE Xi. Effects of the Relativistic Electron Beam on the Phase Velocity of RF Field in Accelerator[J]. Chinese Physics C, 2001, 25(10): 1022-1028.
PAN Wei-Min, LI Zhong-Quan and XIE Xi. Effects of the Relativistic Electron Beam on the Phase Velocity of RF Field in Accelerator[J]. Chinese Physics C, 2001, 25(10): 1022-1028. shu
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Received: 2000-11-24
Revised: 1900-01-01
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Effects of the Relativistic Electron Beam on the Phase Velocity of RF Field in Accelerator

    Corresponding author: PAN Wei-Min,
  • Institute of High High Energy Physics, ACS, Beijing 100039, China2 The College of Graduate Student of the Ministry of Nuclear Industry, Beijing 102413, China

Abstract: The effects of the relativistic electron beam on the phase velocity of RF field in accelera-tor for small signal are studied. The idea of equating electron beam with medium is first developed and the formula of equivalent relative dielectric constant is derived. Based on this consideration and deduction, the simplified dispersion equation of disk-loaded waveguide with the relativistic electron beam under small signal field is established, by which the magnitude of the phase velocity variation of microwave field in accelerator with small signal can be obtained.

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