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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.
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Keywords:
- synchrotron radiation /
- intrinsic spin of electron /
- polarization of synchrotron radiation /
- electron beam polarization
[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
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[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
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