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研究了利用多重网格法计算静电像管的三维静电场分布。通过计算同心球系统与倾斜的双圆筒阴极透镜两个例子,表明计算精度可以达到10-3～10-4。通过比较多重网格法与有限差分法计算三维静电场的计算精度和计算效率,发现多重网格法的收敛率为常数。在相同计算精度的情况下,其计算效率比有限差分法快8～31倍,有效地提高了求解三维静电场的计算效率,从而为非旋转对称静电像管的设计打下了坚实的基础。
The multi-grid method is used to calculate the 3D electrostatic field distribution of an electrostatic image tube. Two examples of concentric sphere system and inclined double cylinder cathode lens are calculated, which show that the calculation accuracy can reach 10-3 ~ 10-4. By comparing the calculation accuracy and computational efficiency of three-dimensional electrostatic field by comparing the multiple grid method with the finite difference method, it is found that the convergence rate of the multiple grid method is constant. Under the same computing accuracy, the computational efficiency is 8 ~ 31 times faster than the finite difference method, which effectively improves the computational efficiency of the three-dimensional electrostatic field and lays a solid foundation for the design of non-rotationally symmetric electrostatic image tube.