带电粒子在恒定电磁场中的运动规律探析

Analysis of the Motion Law of Charged Particles in Arbitrary Constant Electromagnetic Fields

利用复数变换将带电粒子在任意恒定电磁场中的运动微分方程简化为形式较为简单的微分方程,再对微分方程进行积分,获得带电粒子运动方程的解析解,并对带电粒子在任意恒定电磁场中的运动规律进行理论分析和探讨,揭示其运动规律和运动特征.基于理论结果,运用MATLAB模拟仿真带电粒子在电磁场中的运动轨迹,直观演示带电粒子在各种恒定电磁场中的运动轨迹.

The motion trajectory of charged particles in a composite constant electromagnetic field is complex, and when the initial conditions are different, the motion trajectory of particles is different.In this paper, it is proposed to simplify the differential equation of motion of charged particles in any constant electromagnetic field into a relatively easy differential equation to be solved by plural transformation, then integrate the differential equation to obtain an analytical solution of the motion equation of charged particles, and the motion law of charged particles in arbitrary constant electromagnetic field is theoretically analyzed and discussed.Based on theoretical research results, the motion trajectory of charged particles under specific conditions are simulated by MATLAB software, and the characteristics of the motion trajectory of charged particles under some conditions are analyzed and discussed.It provides a theoretical basis for the related research of physics, electrical and electronic technology.