Acta Optica Sinica, Volume. 30, Issue 1, 180(2010)
Lindhard Potential and Dynamic Stabilities for Bent Crystallie Undulator radiation
Introducing Lindhard potential to describe crystalline undulator radiation,the particle motion equation is reduced to the Duffing equation with a hard-spring properties in the classical mechanics frame and the dipole approximation. The main resonance and the super-harmonic resonance are analysed by the multi-scale technique;the nonlinear behaviours on a particle motion are discussed near resonance line;the critical parameter ac and system stable condition are derived. Because the critical condition is related to the parameters of the system,then these parameters are regulated suitably,an instability can be avoided in principle.Thus the effective output of X-laser or γ-laser can be assured. The theoretical analysis is provided to obtain the short wavelength laser.
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Wang Shanjin, Wu Muying, Luo Shiyu, Zhang Weifeng, Luo Xiaohua, Shao Mingzhu. Lindhard Potential and Dynamic Stabilities for Bent Crystallie Undulator radiation[J]. Acta Optica Sinica, 2010, 30(1): 180
Category: Nonlinear Optics
Received: Dec. 31, 2008
Accepted: --
Published Online: Feb. 1, 2010
The Author Email: Shanjin Wang (bgluoshy@dgut.edu.cn)