利用同心球系统检验宽束曲轴数值计算方法

Check for the computation method of curvilinear “paraxial” equations with wide beam utilizing concentric sphere system

利用同心球系统检验宽电子束曲轴数值计算方法的准确与否，并就二电极同心球系统曲近轴轨迹与理想同心球系统实际轨迹之间的差异作出评价。

The veracity of method to compute curvilinear trajectories with wide electronics beam is checked by concentric sphere system, and given the evaluation of difference between curvilinear trajectories of ambipolar concentric sphere system and real trajectories of perfect concentric sphere system, which offer the base to the computation of trajectories and aberrations with second order approximation.