空间电荷透镜电子云状态研究  

Research on Electron Cloud State of Space Charge Lens

作　　者：张凤娟[1] 张潮海[1] 

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,黑龙江哈尔滨150001

出　　处：《原子能科学技术》2014年第9期1544-1547,共4页Atomic Energy Science and Technology

摘　　要：本文分析了新型空间电荷透镜磁镜的轴对称磁场(z,r)平面的磁感应强度的变化曲线,由电子的磁流体运动方程组,推导了处于动态平衡状态下电子云中电子密度的波尔兹曼分布。结合磁镜场的磁感应强度分布和电子的波尔兹曼分布,采用四阶龙格-库塔公式对泊松方程进行二阶微分方程数值求解,得到了理想空间透镜中电子云的电势分布。在磁镜场的磁场基础上分析了空间电荷透镜中心轴线的磁约束因子沿z轴方向变化的趋势和数值模拟中心电子密度、磁约束因子、电子温度对电子云状态的影响。磁约束因子越大,对电子云的约束能力越强,电子集中在空间电荷透镜中心轴附近区域的现象越明显;电子温度越高,电子运动越活跃,弥散空间越大,电子集中在空间电荷透镜中心轴附近区域的现象越不明显。The variation curve of magnetic induction in an axial symmetry magnetic plane of a new space charge lens was analyzed .Through combination of the magnetic mirror field distribution and electron Boltzmann distribution ,the second order Poisson equation was solved and potential distribution of the electron cloud in the state of ideal spatial magnetic lens was obtained by fourth-order Runge-Kutta formula .Based on the magnetic field of magnetic mirror ,the variation tendency of magnetic confinement factor along the z axis direction of the space charge lens central axis was analyzed .Effects of central electron density , magnetic confinement factor and electron temperature on electron cloud state were numerically simulated . Results show that the electron concentration in the vicinity of the space charge lens central axis tends to be clear with the increase of magnetic confinement factor .The higher electron temperature is ,the more actively do electrons move ,the larger diffuse space is ,the less obvious electron concentration near the center of the space charge lens is .

关 键 词：空间电荷透镜 磁镜 电子云 磁约束因子 中心电子密度 

分 类 号：TL53[核科学技术—核技术及应用]