静电离心系统中电子的非圆轨道运动规律的数值研究
NUMERICAL INVESTIGATION OF THE REGULARITY OF NON-CIRCULAR MOTION OF ELECTRONS IN AN ELECTROSTATIC CENTRIFUGAL SYSTEM
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摘要: 本文采用电子计算机数值分析方法对静电离心系统中电子的非圆轨道运动的规律进行了研究,通过大量的数值计算、分析和研究发现:电子做非圆轨道运动时,其运动存在着角向和径向周期性,且这种周期性只与电子的横向注入速度、注入位置及系统中所加的静电电压有关,而几乎与其横向注入角度无关;不同参量下的电子运动的径向周期与角向周期之比均趋近于同一常数;当电子注的横向注入速度较小(0.35c)时,电子运动的径向周期与系统中所加的静电电压的平方根成反比;不同参量下的电子运动的径向周期均近似等于相应系统中的特征振荡周期。
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关键词:
- 静电离心系统; 电子运动; 数值分析
Abstract: The regularity of electron motion with non-circular orbits in an electro-static centrifugal system is investigated. Through extensive numerical computation, analysis and investigation, the following results are obtained: there exist radial and azimuthal perio-dicities in the non-circular orbit motion of electrons in the system and these periodicities are related to the transverse injection velocity and position of the eletrons and the electrostatic voltage applied in the system but have little relation to the transverse injection angle of the electrons; the ratios between the radial and the azimuthal periods of the electron motion under different parameters approach to the same constant; if the injecting transverse electron velocity is less than 0.35c, the radial period of the electron motion is inversely proportional to the square root of the electrostatic voltage applied in the system; and the radial periods of electron motion in the system are equal to those of the corresponding characteristic oscillation of the electrons in the electrostatic centrifugal system. -
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