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晶体摆动场辐射及其共振线附近的粒子运动行为

杨杰 李秀平 王善进 罗诗裕

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晶体摆动场辐射及其共振线附近的粒子运动行为

杨杰, 李秀平, 王善进, 罗诗裕

Crystalline undulator radiation and motion behavior in the vicinity of the resonance line

Yang Jie, Li Xiu-Ping, Wang Shan-Jin, Luo Shi-Yu
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  • 寻找新光源,特别是短波长相干光源引起了人们的广泛注意. 利用晶体摆动场辐射作为短波长相干光源是最有可能的方案之一. 本文从势和场的观点出发,把周期弯晶产生的离心力视为离心势,将粒子运动方程化为Duffing 型Mathieu方程,从能量观点出发讨论了系统的稳定性. 用摄动法对共振线附近粒子的运动行为进行了分析;揭示了系统的跳跃现象和不稳定行为. 结果表明,系统的稳定性与其参数有关,适当调节这些参数,系统的分叉和不稳定性原则上可以避免.
    Searching for new light source, especially short wave-length coherence light source has attracted extensive attention. The using of the crystalline undulator radiation as a short wave-length coherence light source is most likely to be one of the options. From the viewpoints of potential and field, the centrifugal force generated by periodic bent crystal is regarded as centrifugal potential, the particle motion equation is reduced to Mathieu equation with Duffing-type, and from the energy viewpoint the stability of the system is discussed. The behaviors of particles in the vicinity of the resonance are analyzed by perturbation method; the jump phenomena and instable behavior are revealed. The results show that the stability of the system is related to its parameters, and only properly adjusting these parameters, the bifurcation and instability for the system can be avoided in principle.
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    Tabrizi M, Korol A V, Solovyov A V 2007 Phys. Rev. Lett. 98 164801

    [4]

    Korol A V, Solovyov A V, Greiner W 2004 Int. J. Mod. Phys. E 13 867

    [5]

    Korol A V Solov’yov A V Greiner W 2013 Springer Series on Atomic, Optical, and Plasma Physics (Berlin: Splinger) p473

    [6]

    Luo S Y, Shao M Z 2009 Chin. J. Laser 36 1378 (in Chinese) [罗诗裕, 邵明珠 2009 中国激光 36 1378]

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    Wang S J, Wu M Y, Luo S Y, Zhang W F, Luo X H, Shao M Z 2010 Acta Opt. Sin. 30 180 (in Chinese) [王善进, 吴木营, 罗诗裕, 张伟风, 罗晓华, 邵明珠 2010 光学学报 30 180]

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    Luo S Y, Shao M Z, Luo X H 2010 Acta Phys. Sin. 59 2685 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 物理学报 59 2685]

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    Luo S Y, Shao M Z, Luo X H 2010 Sci. China G: Phys. Mech. Astron. 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学 G: 物理学, 力学, 天文学 40 207]

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    Shao M Z, Luo S Y, Wang H C 2009 Chin. J. Lasers 36 2888 (in Chinese) [邵明珠, 罗诗裕, 王红成 2009 中国激光 36 2888]

    [11]

    Li X P, Wang S J, Chen Q, Luo S Y 2013 Acta Phys. Sin. 62 224102 (in Chinese) [李秀平, 王善进, 陈琼, 罗诗裕 2013 物理学报 62 224102]

    [12]

    Liu H Z, Luo S Y Shao M Z 2013 Chin. Phys. B 22 047807

    [13]

    Nayfeh A H 1981 Introduction to Peturbation Techniques (New York: John Wiley & Sons.) p182

    [14]

    Luo X H, He W, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210

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    Liu H Z, Luo S Y Shao M Z 2013 Chin. Phys. B 22 047807

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  • [1]

    Korol A V, Solovyov A V, Greiner W 2008 Nucl. Inst. Methods Phys. Res. B 266 1173

    [2]

    Korol A, Solovyov A V, Greiner W 2006 Advanced Radiation Sources and Applications (Natherlands: Undulators, Springer) pp165-189

    [3]

    Tabrizi M, Korol A V, Solovyov A V 2007 Phys. Rev. Lett. 98 164801

    [4]

    Korol A V, Solovyov A V, Greiner W 2004 Int. J. Mod. Phys. E 13 867

    [5]

    Korol A V Solov’yov A V Greiner W 2013 Springer Series on Atomic, Optical, and Plasma Physics (Berlin: Splinger) p473

    [6]

    Luo S Y, Shao M Z 2009 Chin. J. Laser 36 1378 (in Chinese) [罗诗裕, 邵明珠 2009 中国激光 36 1378]

    [7]

    Wang S J, Wu M Y, Luo S Y, Zhang W F, Luo X H, Shao M Z 2010 Acta Opt. Sin. 30 180 (in Chinese) [王善进, 吴木营, 罗诗裕, 张伟风, 罗晓华, 邵明珠 2010 光学学报 30 180]

    [8]

    Luo S Y, Shao M Z, Luo X H 2010 Acta Phys. Sin. 59 2685 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 物理学报 59 2685]

    [9]

    Luo S Y, Shao M Z, Luo X H 2010 Sci. China G: Phys. Mech. Astron. 40 207 (in Chinese) [罗诗裕, 邵明珠, 罗晓华 2010 中国科学 G: 物理学, 力学, 天文学 40 207]

    [10]

    Shao M Z, Luo S Y, Wang H C 2009 Chin. J. Lasers 36 2888 (in Chinese) [邵明珠, 罗诗裕, 王红成 2009 中国激光 36 2888]

    [11]

    Li X P, Wang S J, Chen Q, Luo S Y 2013 Acta Phys. Sin. 62 224102 (in Chinese) [李秀平, 王善进, 陈琼, 罗诗裕 2013 物理学报 62 224102]

    [12]

    Liu H Z, Luo S Y Shao M Z 2013 Chin. Phys. B 22 047807

    [13]

    Nayfeh A H 1981 Introduction to Peturbation Techniques (New York: John Wiley & Sons.) p182

    [14]

    Luo X H, He W, Shao M Z, Luo S Y 2013 Chin. Phys. B 22 064210

    [15]

    Liu H Z, Luo S Y Shao M Z 2013 Chin. Phys. B 22 047807

    [16]

    Nayfeh A H, Mook D T 1979 Nonlinear Oscillations (New York: John Wiley & Sons.) p216

计量
  • 文章访问数:  1969
  • PDF下载量:  474
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-11-05
  • 修回日期:  2013-11-20
  • 刊出日期:  2014-04-05

晶体摆动场辐射及其共振线附近的粒子运动行为

  • 1. 东莞理工学院电子工程学院, 东莞 523808

摘要: 寻找新光源,特别是短波长相干光源引起了人们的广泛注意. 利用晶体摆动场辐射作为短波长相干光源是最有可能的方案之一. 本文从势和场的观点出发,把周期弯晶产生的离心力视为离心势,将粒子运动方程化为Duffing 型Mathieu方程,从能量观点出发讨论了系统的稳定性. 用摄动法对共振线附近粒子的运动行为进行了分析;揭示了系统的跳跃现象和不稳定行为. 结果表明,系统的稳定性与其参数有关,适当调节这些参数,系统的分叉和不稳定性原则上可以避免.

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