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

PAN Wei-Min; LI Zhong-Quan; XIE Xi

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(10) : 1022-1028

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

Institute of High High Energy Physics, ACS, Beijing 100039, China2 The College of Graduate Student of the Ministry of Nuclear Industry, Beijing 102413, China

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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.

References

[1]	Shen Zhi–Yuan et al. Microwave Technology. National Defence Industry Press. 1980, 44(沈致远等.微波技术.国防工业出版社,1980,44)

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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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1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2000-11-24
Accepted Date: 1900-01-01
Available Online: 2001-10-05

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.