CAJ | 학술논문

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。
본문분석료신형공간전하투경자경적축대칭자장（z ，r）평면적자감응강도적변화곡선，유전자적자류체운동방정조，추도료처우동태평형상태하전자운중전자밀도적파이자만분포。결합자경장적자감응강도분포화전자적파이자만분포，채용사계룡격-고탑공식대박송방정진행이계미분방정수치구해，득도료이상공간투경중전자운적전세분포。재자경장적자장기출상분석료공간전하투경중심축선적자약속인자연 z축방향변화적추세화수치모의중심전자밀도、자약속인자、전자온도대전자운상태적영향。자약속인자월대，대전자운적약속능력월강，전자집중재공간전하투경중심축부근구역적현상월명현；전자온도월고，전자운동월활약，미산공간월대，전자집중재공간전하투경중심축부근구역적현상월불명현。
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 .