Periodicity property of relativistic Thomson scattering with application to exact calculations of angular and spectral distributions of the scattered field
Abstract
We prove that the analytical expression of the intensity of the relativistic Thomson scattered field for a system composed of an electron interacting with a plane electromagnetic field can be written in the form of a composite periodic function of only one variable, that is, the phase of the incident field. This property is proved without using any approximation in the most general case in which the field is elliptically polarized, the initial phase of the incident field and the initial velocity of the electron are taken into consideration, and the direction in which the radiation is scattered is arbitrary. This property leads to an exact method for calculating the angular and spectral distributions of the scattered field, which reveals a series of physical details of these distributions, such as their dependence on the components of the initial electron velocity. Since the phase of the field is a relativistic invariant, it follows that the periodicity property is also valid when the analysis is made in the inertial system in which the initial velocity of the electron is zero in the case of interactions between very intense electromagnetic fields and relativistic electrons. Consequently, the calculation method can be used for themore »
 Authors:
 National Institute for Laser, Plasma and Radiation Physics, Laser Department, P.O. Box MG36, Bucharest, RO077125 (Romania)
 Publication Date:
 OSTI Identifier:
 22068566
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 84; Journal Issue: 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ANGULAR DISTRIBUTION; APPROXIMATIONS; ELECTROMAGNETIC FIELDS; ELECTRONS; FUNCTIONS; INTERACTIONS; PERIODICITY; RELATIVISTIC RANGE; THOMSON SCATTERING
Citation Formats
Popa, Alexandru. Periodicity property of relativistic Thomson scattering with application to exact calculations of angular and spectral distributions of the scattered field. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.023824.
Popa, Alexandru. Periodicity property of relativistic Thomson scattering with application to exact calculations of angular and spectral distributions of the scattered field. United States. doi:10.1103/PHYSREVA.84.023824.
Popa, Alexandru. 2011.
"Periodicity property of relativistic Thomson scattering with application to exact calculations of angular and spectral distributions of the scattered field". United States.
doi:10.1103/PHYSREVA.84.023824.
@article{osti_22068566,
title = {Periodicity property of relativistic Thomson scattering with application to exact calculations of angular and spectral distributions of the scattered field},
author = {Popa, Alexandru},
abstractNote = {We prove that the analytical expression of the intensity of the relativistic Thomson scattered field for a system composed of an electron interacting with a plane electromagnetic field can be written in the form of a composite periodic function of only one variable, that is, the phase of the incident field. This property is proved without using any approximation in the most general case in which the field is elliptically polarized, the initial phase of the incident field and the initial velocity of the electron are taken into consideration, and the direction in which the radiation is scattered is arbitrary. This property leads to an exact method for calculating the angular and spectral distributions of the scattered field, which reveals a series of physical details of these distributions, such as their dependence on the components of the initial electron velocity. Since the phase of the field is a relativistic invariant, it follows that the periodicity property is also valid when the analysis is made in the inertial system in which the initial velocity of the electron is zero in the case of interactions between very intense electromagnetic fields and relativistic electrons. Consequently, the calculation method can be used for the evaluation of properties of backscattered hard radiations generated by this type of interaction. The theoretical evaluations presented in this paper are in good agreement with the experimental data from literature.},
doi = {10.1103/PHYSREVA.84.023824},
journal = {Physical Review. A},
number = 2,
volume = 84,
place = {United States},
year = 2011,
month = 8
}

General formulas for the farfield spectral distribution of photons Thomson scattered by a single electron have been obtained. Effects due to the pulsed nature of the laser beam are explicitly allowed, simultaneously with intensity high enough that harmonic generation is possible. For realistic pulsed photon beams the spectrum of backscattered radiation is considerably broadened because of changes in the longitudinal velocity of the electrons during the pulse. Such ponderomotive broadening is especially pronounced at higher harmonics, eventually leading to a continuous emission spectrum.

Technique of measuring the angular intensity distributions of the radiation of relativistic electrons scattered in single crystals
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