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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。
Periodic bending crystals do channel movement of charged particles in the channel radiation at the same time, there will be swing field radiation. The square sine potential is introduced and considering the motion damping and nonlinear effects, the motion equation of particle is transformed into the pendulum equation with damping and forced term in classical mechanics and dipole approximation. The Melnikov method is used to analyze the chaotic behavior of heteroclinic orbit in the sense of Smale horseshoe. The results show that the critical condition of the system entering the chaos is related to its specific parameters. Only by properly adjusting these parameters, chaos can be avoided or controlled in principle, so as to further ensure that the system can output X-laser or γ-laser effectively.