Crystalline undulator radiation and sub-harmonic bifurcation of system

• 作 者: 罗晓华 何为 吴木营 邵明珠 罗诗裕
• 机 构: School of Electrical Engineering,Chongqing University,Library,Chongqing Jiaotong University,College
• 出 处: Chinese Physics B
• 发表日期: 2013年06期
• 关键词: bifurcation crystalline suppressed dipole harmonic adjusting pendulum analytical

Looking for new light sources,especially short wavelength laser light sources has attracted widespread attention.This paper analytically describes the radiation of a crystalline undulator field by the sine-squared potential.In the classical mechanics and the dipole approximation,the motion equation of a particle is reduced to a generalized pendulum equation with a damping term and a forcing term.The bifurcation behavior of periodic orbits is analyzed by using the Melnikov method and the numerical method,and the stability of the system is discussed.The results show that,in principle,the stability of the system relates to its parameters,and only by adjusting these parameters appropriately can the occurrence of bifurcation be avoided or suppressed.

Looking for new light sources, especially short wavelength laser light sources has addressed prominently.This paper analytically describes the radiation of a crystalline undulator field by the sine-squared potential. In the classical mechanics and the dipole approximation, the motion equation of a particle is reduced to a generalized pendulum equation with a damping term and a forcing term. The bifurcation behavior of periodic orbits is analyzed by using the Melnikov method and the numerical method, and the stability of the system is discussed. The results show that, in principle , the stability of the system to its parameters, and only by adjusting these parameters include can the occurrence of bifurcation be avoided or suppressed.