Improvement of the accuracy of 3-D electron trajectory calculations using both the finite element method and the boundary element method

A new simulation method is presented to improve the accuracy of 3-D electron trajectory calculations with the space charge effect, using both the finite element method and boundary element method to calculate the electric field and the magnetic field. In this method, the magnetic potential is first calculated by the finite element method, then calculated again by the boundary element method, and finally the magnetic field is calculated at the nodes and interpolated in the finite elements. Next, the electric field is calculated in the same manner used for the magnetic field. This method was specifically designed for the electron focusing system of an electron beam apparatus.