### 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 language | English |
---|---|

Pages (from-to) | 430-459 |

Number of pages | 30 |

Journal | Annals of Physics |

Volume | 339 |

DOIs | |

Publication status | Published - Dec 2013 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*339*, 430-459. https://doi.org/10.1016/j.aop.2013.09.016

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

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 339, pp. 430-459. https://doi.org/10.1016/j.aop.2013.09.016

}

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

AN - SCOPUS:84885768348

VL - 339

SP - 430

EP - 459

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -