UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2010 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Compton and Thomson scattering with an intense laser pulse


Authors:
Madalina Boca, Viorica Florescu and Andreea Oprea


Affiliation:
University of Bucharest, Faculty of Physics, POBox MG11, 077125 Magurele, Romania


E-mail
madalina.boca@g.unibuc.ro


Keywords:
radiation scattering, intense laser, energy spectrum


Abstract:
We study the radiation scattering of an electron and a laser pulse with fixed direction of propagation, arbitrary shape and duration. For Thomson scattering, we present an alternative expression of the classical formula [1] describing the spectrum of radiation emitted by a charged particle accelerated in a plane wave laser pulse; this expression is obtained by performing two integration by parts of the Jackson`s equation (14.63). Our formula can be obtained alternatively, as the classical limit of the corresponding quantum expression describing Compton scattering [2]. We also derive the expression of the energy distribution for a well defined final polarization of the emitted photon. Valid for an arbitrary scattering geometry and arbitrary polarization of the laser pulse, this expression is a generalization of a result obtained by Krafft et al. [3] by a different procedure, in the particular case of linear polarization of the pulse orthogonal on the initial electron momentum. We consider a Gaussian laser pulse with a duration varying from a few to a hundred of optical cycles and the laser field intensity of the order of atomic unit. We present numerical results for the energy spectrum for different scattering geometries and study the effect of the laser field intensity and electron initial momentum on the position and shape of the maxima present in spectrum. We also study the effect of the laser polarization on the polarization of the emitted photons. Attention is given to a comparison between classical and quantum results. [1] J. D. Jackson, Classical Electrodynamics, third edition, Wiley, 1998. [2] M. Boca and V. Florescu, Phys. Rev. A 80, (2009). [3] G. A. Krafft, A. Doyuran and J. B. Rosenzweig, Phys. Rev. E 72, 056502 (1995).