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Pis'ma v Zh. Èksper. Teoret. Fiz., 2017, Volume 105, Issue 6, Pages 367–373 (Mi jetpl5224)  

METHODS OF THEORETICAL PHYSICS

Corrections to the Thomson cross section caused by relativistic effects and by the presence of the drift velocity of a classical charged particle in the field of a monochromatic plane wave

A. V. Perestoronin

Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: An approach to the solution of the relativistic problem of the motion of a classical charged particle in the field of a monochromatic plane wave with an arbitrary polarization (linear, circular, or elliptic) is proposed. It is based on the analysis of the 4-vector equation of motion of the charged particle together with the 4-vector and tensor equations for the components of the electromagnetic field tensor of a monochromatic plane wave. This approach provides analytical expressions for the time-averaged square of the 4-acceleration of the charge, as well as for the averaged values of any quantities periodic in the time of the reference frame. Expressions for the integral power of scattered radiation, which is proportional to the time-averaged square of the 4-acceleration of the charge, and for the integral scattering cross section, which is the ratio of the power of scattered radiation to the intensity of incident radiation, are obtained for an arbitrary inertial reference frame. An expression for the scattering cross section, which coincides with the known results at the circular and linear polarizations of the incident waves and describes the case of elliptic polarization of the incident wave, is obtained for the reference frame where the charged particle is on average at rest. An expression for the scattering cross section including relativistic effects and the nonzero drift velocity of a particle in this system is obtained for the laboratory reference frame, where the initial velocity of the charged particle is zero. In the case of the circular polarization of the incident wave, the scattering cross section in the laboratory frame is equal to the Thompson cross section.

DOI: https://doi.org/10.7868/S0370274X17060091

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English version:
Journal of Experimental and Theoretical Physics Letters, 2017, 105:6, 388–394

Bibliographic databases:

Received: 23.01.2017

Citation: A. V. Perestoronin, “Corrections to the Thomson cross section caused by relativistic effects and by the presence of the drift velocity of a classical charged particle in the field of a monochromatic plane wave”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:6 (2017), 367–373; JETP Letters, 105:6 (2017), 388–394

Citation in format AMSBIB
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\by A.~V.~Perestoronin
\paper Corrections to the Thomson cross section caused by relativistic effects and by the presence of the drift velocity of a classical charged particle in the field of a monochromatic plane wave
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2017
\vol 105
\issue 6
\pages 367--373
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\crossref{https://doi.org/10.7868/S0370274X17060091}
\elib{http://elibrary.ru/item.asp?id=28828411}
\transl
\jour JETP Letters
\yr 2017
\vol 105
\issue 6
\pages 388--394
\crossref{https://doi.org/10.1134/S0021364017060108}
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