带电粒子在超晶格量子阱沟道中的准沟道辐射

Quasi-channeling Radiation of Charged Particle in Superlattice Quantum Well

引入正弦平方势,在经典力学框架内,把粒子的运动方程化为标准的摆方程。用Jacobian椭圆函数和椭圆积分解析地给出了系统的解和粒子运动周期,并从方程的旋转周期解出发讨论了带电粒子的准沟道辐射。将准沟道辐射和沟道辐射进行了比较,发现二者的主要差别在于准沟道粒子的横向速度的平均值不为零,而它的辐射能量在cκ=0.5时,比沟道辐射大2.4倍。

In the frame of the classical mechanics the motion equation of particles is reduced to the pendulum equation by using the sine-squared potential. The solution of the equalion and the period of the particle motion are expressed exactly by means of Jacobian elliptic function and the elliptic integral. The quasi-channeling radiation of the charged particles is discussed based on the rotational periodic solution. From the comparison between quasi-channeling radiation and channeling radiation, it is found that their main difference is that the average transverse velocity of the quasi-channeling particles is not zero,and its radiation energy is 2.4 times more than that of the channeling radiation if κ^c= 0.5.