掺杂超晶格中带电粒子周期轨道的分叉现象

The Bifurcation Phenomenon for Periodic Orbit of Charged Particles in Doping Superlattice

在经典力学框架内,导出了粒子在周期外场中运动的一般方程,并在阻尼情况下,利用Melnikov方法讨论了系统的分叉现象及临界行为。结果表明,系统的临界条件与其参数有关,适当调节这些参数,就可望输出强度大、稳定性好的高次谐波辐射。

In the classical mechanics frame, the particle motion equation in the periodic field is derived,and in the damp case the bifurcation phenomenon and the critical properties for the system are discussed by Melnikov method. The result shows that the critical condition is related to the system papameters, so making the suitable adjustment of the parameter, is helpful to obtain higher harmonic radiation with the larger intensity and the higher stability.