带电粒子在电磁场中的运动

The Law of Motion of Charged Particles in the Electromagnetic Field

文章对带电粒子在电磁场中的运动规律进行了解析,并利用MATLAB软件作图动画功能,对带电粒子在电磁场中运动的5种情况进行模拟,得到:(1)带电粒子斜入射电场的运动轨迹是一条抛物线;(2)带电粒子斜入射磁场的运动轨迹是一条螺旋线;(3)带电粒子在均匀正交电磁场中的运动轨迹是一条旋轮线;(4)带电粒子在均匀非正交电磁场中的运动轨迹为在xoy平面内的摆线运动和沿z轴方向的匀加速直线运动;(5)带电粒子斜入射变化磁场(磁场沿z方向匀速增大)的运动轨迹是一条回旋半径不断减小的螺旋线。这为进一步研究带电粒子在其他情况下的运动规律给出了参考。

The motion of charged particles in electromagnetic fields is solved strictly,and with the help of MATLAB software drawing animation function,the five movements of charged particle are simulated in electromagnetic fields,by:( 1) charged particles movements of oblique incident electric fields is a parabolic line;( 2) charged particles movements at oblique incidence the magnetic fields is a spiral line;( 3) charged particle is a cycloid in uniform orthogonal trajectories in electromagneticfields;( 4) charged particle in the evenly non trajectory orthogonal electromagnetic fields for cycloidal motion in theplane and along theaxis uniformly accelerates rectilinear motion;( 5) charged particles oblique incidence changing magnetic fields( magnetic increases evenly along the direction of the) trajectory is spiral line cyclotron radius decreases. It's better to understand or grasp the motion of charged particles in electromagnetic fields.