超相对论粒子的晶体摆动场辐射与同步辐射

注意到晶体摆动场辐射是基于沟道粒子的横向运动,而晶体的周期弯曲则等效为作用在粒子上的力。把晶体的周期弯曲视为相互作用势,并考虑在周期摆动场中粒子的"同步辐射"。在经典力学框架内和偶极近似下,把粒子的纵向运动方程化为摆方程,并在小振幅近似下,把它进一步化为Duffing方程。用Jacobian椭圆函数和第一类椭圆积分严格地给出了粒子轨道和它的运动周期;讨论了沟道辐射、摆动场辐射和"同步辐射"能量(频率)。结果表明,三种辐射之间的频率差别比较大,在实验上很容易将他们分开。选择如下一组参数V0=0.5eV,波长λp=100nm,能量γ=104,计算结果表明,"同步辐射"频率Ω=8.83×1019,已进入X-能区。

Crystalline Undulator Field Radiation and Synchronized Radiation for Ultrarelativistic Particle

The crystalline undulator field radiation is based on the transversal motion of the channeling particles,but the crystal periodic bend is equivalent to the force effected on particles.We regard the crystal periodic bend as the interaction potential,and considers the synchronized radiation in the crystal undulator field.In classical mechanics frame and dipole approximate,the longitudinal motion equation may be reduced to the pendulun equation,and in small amplitude approximate,the pendulun equation may be fu...