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《Acta Electronica Sinica》 1998-06
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A Statistical Dynamics Study on the Evolution of the Spatial and Momentum Distribution of Electron Beams

Liu Xuedong, Tang Tiantong(Xi'an Jiaotong University,Xi'an 710049)  
A modified Vlasov equation which describes the evolution of the spatial and momentum distribution of axisymmetrical electron beams is developed based on the statistical dynamics theory. A semi-analytical solution of the equation is given in the paraxial approximation. The evolution and the beam envelope spreading for electron beams in drifting space are calculated using the above theory and methods; the calculation results agree very well with the numerical computation results.
【Fund】: 国家教委博士点专项基金
【CateGory Index】: TN20
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Wang Yiping; Huang Jiying (Xidian University. Xi'an, Shanxi 710071, China);An Analysis of the System of a Lossless and Homogeneous Transmission Line[J];CHINESE JOURNAL OF RADIO SCIENCE;1997-01
2 Zhang Xiaobing; Yin Hanchun; Zhang Xiong; Tong Linsu(Research Institute of Electronics, Southeast University, Nanjing 210018 );Analysis and Correction of the Large Deflection Angle Aberration[J];JOURNAL OF SOUTHEAST UNIVWRSITY;1996-03
3 Yang Deqing(Yunnan University,Kunming 850091);Calculating of Finite Radius of the Virtual Source about Field Emission Gun[J];JOURNAL OF ELECTRON DEVICES;1994-03
4 Cui Zheng, Tong Lin-su (Dept. of Electron Engineering, Southeast University).;A New Method Suitable for Calculating the Space Charge Field of a Point Emission Source[J];Acta Electronica Sinica;1990-01
5 Sun Yu,Qu Xun(Beijing Vacuum Electronics Research Institute,Beijing 100016)Tang Tiantong(Xi'an Jiaotong University,Xi’an 710049);Computer Simulation of Focusing Performance of PPM'sFocusing System in Direct Current State[J];Acta Electronica Sinica;1997-06
6 Nie Shiqi;Lin Shuquan;Huang Baolin (HDN Institute,Shanghai Jiaotong University,Shaphai 200030);The Electron-Optics Analysis of the Deflection Structure in the Electron Beam Scanning FCRT[J];ACTA ELECTRONICA SINICA;1998-09
7 CHENG Min,TANG Tian tong (School of Electronics and Information Engineering,Xi'an Jiaotong University,Xi'an,Shanxi 710049,China);Theory of Curved Axes Aberration with Wide Beam for Magnetic Immersed Lenses[J];Acta Electronica Sinica;2001-06
8 CHENG Min,TANG Tian-tong,YAO Zhen-hua,WANG Zhen-hua (School of Electronics and Information Engineering,Xi'an Jiaotong University,Xi'an,Shaanxi 710049,China);Study on Differential Algebraic Method of Curvilinear-Axis Aberration Analysis with Wide Beam for Magnetic Immersion Lenses[J];Acta Electronica Sinica;2002-06
9 Yang Deqing; Chen Ergang; Mu Chongjun(Yunnan University, Kunming 650091);The Development of a Field Emissoin Gun with High Brightness and Small Beam Spot[J];ACTA ELECTRONICA SINICA;1996-06
10 Yang Deqing Chen Ergang(Department of Physics,Yunnan University,Kunming 650091);Measurement of Finite Radius of the Virtual Source for Practical Field Emission Gun[J];Journal of Chinese Electron Microscopy Society;1996-01
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