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电子磁矩对同步辐射频谱的修正

李一丁 张鹏飞 张辉 徐宏亮

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电子磁矩对同步辐射频谱的修正

李一丁, 张鹏飞, 张辉, 徐宏亮

Modification from the spin to the synchrotron radiation from a relativistic electron

Li Yi-Ding, Zhang Peng-Fei, Zhang Hui, Xu Hong-Liang
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  • 本文从偶极子辐射场的Heaviside-Feynman表达式出发, 用经典的电动力学方法推导了考虑内禀磁矩影响后的相对论电子辐射频谱分布的表达式, 并对做匀速圆周运动的极端相对论性电子的同步辐射, 计算了两个偏振方向上的考虑磁矩修正后的辐射谱. 计算结果表明对于特征频率为ωc的同步辐射, 如果ħωc≥10 keV, 内禀磁矩对辐射的修正是可观的. 通过同步辐射的内禀磁矩修正, 本文讨论了电子束极化度与辐射场偏振度的依赖关系, 并基于此关系提出一种测量电子束极化度的新方法.
    An explicit expression for the spectral distribution of the radiation energy from a relativistic electron with a magnetic moment is derived. Consequentially for an extreme relativistic electron moving along a planar circular orbit, the spectral distributions of synchrotron radiation in σ- and π- polarization are calculated including the modification from electron's magnetic moment. It is shown that for the synchrotron radiation with high critical frequency ωc with ħωc≥ 10 keV, the modification may be considerable. The relationship between the polarization of synchronous electrons and radiation fields is obtained, and thus the information about spin polarization of electron beam from measuring the polarization of radiation fields is provided.
    • 基金项目: 国家基础研究重大项目前期预研专项基金(批准号:2001CCB01000)和科技部ITER-CN项目(批准号:2010GB107001)资助的课题.
    • Funds: Project supported by the Foundation of National Key Program for Basic Research of China (Grant No. 2001CCB01000), and the ITER-China Program (Grant No. 2010GB107001).
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    Jackson J D 1998 Classical Electrodynamics (3rd Edn.) (New York: Wiley) p676

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    Schott G A 1912 Electromagnetic Radiation and the Mechanical Reactions Arising from it (Cambridge: Cambridge Univ. Press) p213

    [3]

    Tzu H Y 1947 Proc. R. Soc. Lond. A 192 231

    [4]

    Schwinger J 1949 Phys. Rev. 75 1912

    [5]

    Kim K J 1989 AIP Conf. Proc. 184 565

    [6]

    Wang C X 1993 Phys. Rev. E 47 4358

    [7]

    Lindhard J 1991 Phys. Rev. A 43 6032

    [8]

    Khokonov M Kh, Nitta H 2002 Phys. Rev. Lett. 89 094801

    [9]

    Patterson B D 2011 Am. J. Phys. 79 1046

    [10]

    Nakamura K (Particle Data Group) 2010 J. Phys. G 37 075021

    [11]

    Klein J J 1968 Rev. Mod. Phys. 40 523

    [12]

    Kuznetsov A S 1993 Europhys. Lett. 21 545

    [13]

    Monaghan J J 1968 J. Phys. A 1 112

    [14]

    Heras J A 1994 Am. J. Phys. 62 1109

    [15]

    Heras J A 1998 Phys. Rev. E 58 5047

    [16]

    Jackson J D 1998 Classical Electrodynamics (3rd Edn.) (New York: Wiley) p561

  • [1]

    Jackson J D 1998 Classical Electrodynamics (3rd Edn.) (New York: Wiley) p676

    [2]

    Schott G A 1912 Electromagnetic Radiation and the Mechanical Reactions Arising from it (Cambridge: Cambridge Univ. Press) p213

    [3]

    Tzu H Y 1947 Proc. R. Soc. Lond. A 192 231

    [4]

    Schwinger J 1949 Phys. Rev. 75 1912

    [5]

    Kim K J 1989 AIP Conf. Proc. 184 565

    [6]

    Wang C X 1993 Phys. Rev. E 47 4358

    [7]

    Lindhard J 1991 Phys. Rev. A 43 6032

    [8]

    Khokonov M Kh, Nitta H 2002 Phys. Rev. Lett. 89 094801

    [9]

    Patterson B D 2011 Am. J. Phys. 79 1046

    [10]

    Nakamura K (Particle Data Group) 2010 J. Phys. G 37 075021

    [11]

    Klein J J 1968 Rev. Mod. Phys. 40 523

    [12]

    Kuznetsov A S 1993 Europhys. Lett. 21 545

    [13]

    Monaghan J J 1968 J. Phys. A 1 112

    [14]

    Heras J A 1994 Am. J. Phys. 62 1109

    [15]

    Heras J A 1998 Phys. Rev. E 58 5047

    [16]

    Jackson J D 1998 Classical Electrodynamics (3rd Edn.) (New York: Wiley) p561

计量
  • 文章访问数:  5639
  • PDF下载量:  495
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-08-27
  • 修回日期:  2012-12-02
  • 刊出日期:  2013-05-05

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