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 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.
 Publication:

Physical Review A
 Pub Date:
 August 2011
 DOI:
 10.1103/PhysRevA.84.023824
 Bibcode:
 2011PhRvA..84b3824P
 Keywords:

 42.65.Ky;
 03.50.z;
 52.25.Os;
 Frequency conversion;
 harmonic generation including higherorder harmonic generation;
 Classical field theories;
 Emission absorption and scattering of electromagnetic radiation