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本文针对某质谱计离子源的设计,建立了离子源静电场数学模型,采用有限差分法对其场域进行离散,半迭代切比雪夫松弛法求解各节点的电位,拉格朗日插值法计算空间任意点的电位和电场,四阶龙格-库塔法计算离子运动轨迹。使用Visual C++6.0为平台编程计算程序,结合离子源的具体结构求解了离子源静电透镜整个场域的电位和电场;绘制了等位线和离子运动轨迹。在此基础上,讨论了各电极电压对离子运动轨迹(即对聚焦性能)的影响。
Aiming at the design of a mass spectrometer ion source, a mathematic model of ion source electrostatic field is established. The finite difference method is used to discretize its field. The semi-iterative Chebyshev relaxation method is used to solve the potential of each node. Lagrange interpolation Potential and electric field at any point in space, fourth-order Runge-Kutta method to calculate ion trajectory. Using Visual C ++ 6.0 as programming platform, we calculated the potential and electric field of the whole field of ion source electrostatic lens with the specific structure of ion source. The contour lines and ion trajectories were plotted. On this basis, the influence of each electrode voltage on ion trajectory (ie focusing performance) is discussed.