周期弯晶摆动场辐射的混沌振荡

周期弯曲晶体中做沟道运动的带电粒子,在沟道辐射的同时,还将产生摆动场辐射.引入正弦平方势,并考虑运动阻尼和非线性影响,在经典力学框架内和偶极近似下,把粒子的运动方程化为具有阻尼项和受迫项的摆方程.利用梅利尼科夫(Melnikov)方法分析了异宿轨道的分叉与系统进入斯梅耳(Smale)马蹄意义下的混沌行为.结果表明,系统进入混沌的临界条件与它的具体参数有关,只需适当调节这些参数就可以原则上避免或控制混沌,从而进一步保证系统有效输出x-激光或γ-激光.

Chaotic Oscillation of Undulator Radiation in a Periodically Bent Crystal

Besides a channeling radiation there is an undulator radiation in an periodic bent crystal. A sine-squared potential is introduced to describe the motion behaviours of the particle in the system, the particle motion equation is reduced to the pendulum equation with a dampping and a force terms in the classical mechanics frame and the dipole approximation. The bifurcation and the chaotic behaviours of a separatrix orbit with the Smale horseshoe are analysed by Melnikov method. The critical condition of system through to a chaos is found. It shown that the critical condition of the system entered in a chaos is related to its parameters, provided regulating a parameters of the system, the chaos can be avoided or controlled in principle. Thus the effective export of X-laser or y-laser can be assured furtherlly.