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1. 东莞理工学院 电子工程学院
2. 惠州学院 电子科学系
收稿:2009-01-25,
修回:1900-1-2,
网络首发:2009-08-30,
纸质出版:2009-08-30
移动端阅览
张 莉, 王善进, 罗诗裕, 等. 参数X射线辐射与旋转周期轨道的局域分叉[J]. 发光学报, 2009,30(4):520-524.
ZHANG Li, WANG Shan-jin, LUO Shi-yu, et al. The Parametric X-ray Radiation and Local Bifurcation in Rotated Periodic Orbit System[J]. Chinese Journal of Luminescence, 2009, 30(4): 520-524.
寻找新光源
特别是利用参数X射线辐射(PXR)、沟道辐射(CR)或晶体摆动场辐射(CUR)作为新的光源引起了人们极大关注。要成功获得这些新光源
粒子运动必须是稳定的。但是
由于辐射衰减、晶格热振动、电子多重散射和相互作用势的非线性等因素的影响
系统将产生退道、分叉、混沌等不稳定现象
从而对这些辐射的反射、衍射、聚焦和谱分布产生直接影响。讨论了旋转周期轨道的分叉对系统稳定性的影响。在经典力学框架内和偶极近似下
引入正弦平方势
把粒子运动方程化为了具有阻尼项、受迫项和常数力矩的广义摆方程。利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期
用Melnikov方法构造了旋转型周期轨道的Melnikov函数
并用这个方法分析了系统的局部分叉性质。结果表明
系统的临界条件与它的参数有关
只需适当调节这些参数
系统的分叉(或不稳定性)就可以原则上避免
从而进一步保证有效地输出PXR、CUR或CR辐射等。
paper
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