Radiation of de-excited electrons at large times in a strong electromagnetic plane wave

P. O. Kazinski

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    The late time asymptotics of the physical solutions to the Lorentz-Dirac equation in the electromagnetic external fields of simple configurations-the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave-are found. The solutions to the Landau-Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. Some general properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the externalelectromagnetic fields of the simple configurations pointed above. This provides a simple method to verify experimentally that the charged particle has reached the asymptotic regime.

    Original languageEnglish
    Pages (from-to)430-459
    Number of pages30
    JournalAnnals of Physics
    Volume339
    DOIs
    Publication statusPublished - Dec 2013

    Fingerprint

    charged particles
    plane waves
    electromagnetism
    crossed fields
    radiation
    electrons
    configurations
    Dirac equation
    field strength
    electromagnetic fields
    symmetry
    energy

    Keywords

    • Asymptotic physical solution
    • Lorentz-Dirac equation
    • Radiation power density
    • Strong electromagnetic wave

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Radiation of de-excited electrons at large times in a strong electromagnetic plane wave. / Kazinski, P. O.

    In: Annals of Physics, Vol. 339, 12.2013, p. 430-459.

    Research output: Contribution to journalArticle

    @article{c7111f75ea4647b1b21845e84111060e,
    title = "Radiation of de-excited electrons at large times in a strong electromagnetic plane wave",
    abstract = "The late time asymptotics of the physical solutions to the Lorentz-Dirac equation in the electromagnetic external fields of simple configurations-the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave-are found. The solutions to the Landau-Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. Some general properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the externalelectromagnetic fields of the simple configurations pointed above. This provides a simple method to verify experimentally that the charged particle has reached the asymptotic regime.",
    keywords = "Asymptotic physical solution, Lorentz-Dirac equation, Radiation power density, Strong electromagnetic wave",
    author = "Kazinski, {P. O.}",
    year = "2013",
    month = "12",
    doi = "10.1016/j.aop.2013.09.016",
    language = "English",
    volume = "339",
    pages = "430--459",
    journal = "Annals of Physics",
    issn = "0003-4916",
    publisher = "Academic Press Inc.",

    }

    TY - JOUR

    T1 - Radiation of de-excited electrons at large times in a strong electromagnetic plane wave

    AU - Kazinski, P. O.

    PY - 2013/12

    Y1 - 2013/12

    N2 - The late time asymptotics of the physical solutions to the Lorentz-Dirac equation in the electromagnetic external fields of simple configurations-the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave-are found. The solutions to the Landau-Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. Some general properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the externalelectromagnetic fields of the simple configurations pointed above. This provides a simple method to verify experimentally that the charged particle has reached the asymptotic regime.

    AB - The late time asymptotics of the physical solutions to the Lorentz-Dirac equation in the electromagnetic external fields of simple configurations-the constant homogeneous field, the linearly polarized plane wave (in particular, the constant uniform crossed field), and the circularly polarized plane wave-are found. The solutions to the Landau-Lifshitz equation for the external electromagnetic fields admitting a two-parametric symmetry group, which include as a particular case the above mentioned field configurations, are obtained. Some general properties of the total radiation power of a charged particle are established. In particular, for a circularly polarized wave and constant uniform crossed fields, the total radiation power in the asymptotic regime is independent of the charge and the external field strength, when expressed in terms of the proper-time, and equals a half the rest energy of a charged particle divided by its proper-time. The spectral densities of the radiation power formed on the late time asymptotics are derived for a charged particle moving in the externalelectromagnetic fields of the simple configurations pointed above. This provides a simple method to verify experimentally that the charged particle has reached the asymptotic regime.

    KW - Asymptotic physical solution

    KW - Lorentz-Dirac equation

    KW - Radiation power density

    KW - Strong electromagnetic wave

    UR - http://www.scopus.com/inward/record.url?scp=84885768348&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84885768348&partnerID=8YFLogxK

    U2 - 10.1016/j.aop.2013.09.016

    DO - 10.1016/j.aop.2013.09.016

    M3 - Article

    VL - 339

    SP - 430

    EP - 459

    JO - Annals of Physics

    JF - Annals of Physics

    SN - 0003-4916

    ER -