虚边界元法与强流电子枪的电子轨迹模拟

以位势问题为分析对象,从格林公式出发严格导出了虚边界元法的基本积分方程.并以虚边界元法基本积分方程为出发点,从理论上导出了虚边界元法对虚边界形状位置的基本要求.理论结果表明,虚边界元法本身是一种严格的方法,但在一定条件下,它是一种近似方法.基于虚边界元方法开发了一套适用于强流电子枪的电子轨迹模拟程序,并对强流电子枪进行了计算.对强流电子枪的计算表明,在同等条件下,取定最佳的虚实边界距离与边界单元数,虚边界元法较边界元法的精度要高.

Virtual Boundary Method and Electron Trace in a Power Electron Gun

We derive a foundational equation in the virtual boundary method, and essential conditions that the virtual boundary must satisfy. It shows that the virtual boundary element method is rigorous. For complex real boundaries, such as a concave boundary, it is approximate because the requirements for virtual boundary can not be satisfied. Code for electron trace in a power electron gun is explored. It shows that the accuracy of the virtual boundary element method is better than that of the boundary element method as the distance between virtual boundary and real boundary is optimum.