Analysis and computation on curvilinear trajectory of electrostatic wide beam with second-order approximation

Aim To demonstrate the rationality and credibility of methods of computing curvilinear trajectories. Methods The main equations of curvilinear trajectory and equations of curvilinear trajectory which consider second-order approximation were computed by concentric spherical system. Results The computational results show that there is a deviation about at the 5-th of decimal place between first- and second-order approximations of curvilinear trajectories, and aberrations computed for practical imaging tubes are about at the 4-th of decimal place. Conclusion The computational methods of curvilinear trajectories have been proved.