Chinese Journal of Lasers, Volume. 36, Issue 11, 2888(2009)
Chaotic Oscillation of Undulator Radiation in a Periodically Bent Crystal
Besides a channeling radiation there is an undulator radiation in an periodic bent crystal. A sine-squared potential is introduced to describe the motion behaviours of the particle in the system,the particle motion equation is reduced to the pendulum equation with a dampping and a force terms in the classical mechanics frame and the dipole approximation. The bifurcation and the chaotic behaviours of a separatrix orbit with the Smale horseshoe are analysed by Melnikov method. The critical condition of system through to a chaos is found. It shown that the critical condition of the system entered in a chaos is related to its parameters,provided regulating a parameters of the system,the chaos can be avoided or controlled in principle. Thus the effective export of X-laser or γ-laser can be assured furtherlly.
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Shao Mingzhu, Luo Shiyu, Wang Hongcheng. Chaotic Oscillation of Undulator Radiation in a Periodically Bent Crystal[J]. Chinese Journal of Lasers, 2009, 36(11): 2888
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Received: Dec. 27, 2008
Accepted: --
Published Online: Nov. 11, 2009
The Author Email: Mingzhu Shao (bgluoshy@dgut.edu.cn)