Crystalline undulator radiation and sub-harmonic bifurcation of system

doi:10.1088/1674-1056/22/6/064210

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

Keywords: crystalline undulator radiation short wavelength laser Melnikov method bifurcation stability

Received: 31 August 2012
Revised: 15 October 2012
Accepted manuscript online:

PACS:	42.55.Vc	(X- and γ-ray lasers)
	78.20.Bh	(Theory, models, and numerical simulation)
	05.45.Ac	(Low-dimensional chaos)
	46.40.Ff	(Resonance, damping, and dynamic stability)

Corresponding Authors: He Wei
E-mail: hewei@126.com

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Luo Xiao-Hua (罗晓华), He Wei (何为), Wu Mu-Ying (吴木营), Shao Ming-Zhu (邵明珠), Luo Shi-Yu (罗诗裕) Crystalline undulator radiation and sub-harmonic bifurcation of system 2013 Chin. Phys. B 22 064210

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Crystalline undulator radiation and sub-harmonic bifurcation of system

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