Non-relativistic particle higher-order harmonic radiation based short-wavelength laser and the operation stability

Xiao-hua Luo; Mu-ying Wu; Wei He; Ming-zhu Shao; Shiyu Luo

doi:10.1007/s11801-011-0018-y

Optoelectronics Letters ›› 2011, Vol. 7 ›› Issue (4) : 313-316. DOI: 10.1007/s11801-011-0018-y

Article

Non-relativistic particle higher-order harmonic radiation based short-wavelength laser and the operation stability

Xiao-hua Luo¹^,²^,^a ,
Mu-ying Wu³ ,
Wei He² ,
Ming-zhu Shao³ ,
Shiyu Luo³

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Abstract

Under classical mechanics, the general equation of particle motion in the periodic field is derived. In the dampless case, the existence possibility of the higher-order harmonic radiation is explored by using Bessel function expansion of a generalized trigonometrical function and the multi-scale method. In the damping case, the critical properties and a chaotic behavior are discussed by the Melnikov method. The results show that the use of a higher-order harmonic radiation of non-relativistic particles as a short-wavelength laser source is perfectly possible, and the system’s critical condition is related to its parameters. Only by adjusting parameters suitablely, the stable higher-order harmonic radiation with bigger intensity can be obtained.

Keywords

Chaotic Behavior / Heteroclinic Orbit / Periodic Field / Conduction Band Bottom / Melnikov Method

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Xiao-hua Luo, Mu-ying Wu, Wei He, Ming-zhu Shao, Shiyu Luo. Non-relativistic particle higher-order harmonic radiation based short-wavelength laser and the operation stability. Optoelectronics Letters, 2011, 7(4): 313‒316 https://doi.org/10.1007/s11801-011-0018-y

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This work has been supported by the National Natural Science Foundation of China (No.10947140), the Natural Science Foundation of Guangdong Province (No.10451170003004948), and the Dongguan Science and Technology Program (No.2008108101002).