Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen

L. Safari, P. Amaro, S. Fritzsche, J. P. Santos, S. Tashenov, and F. Fratini
Phys. Rev. A 86, 043405 – Published 3 October 2012

Abstract

A relativistic analysis of the polarization properties of light elastically scattered by atomic hydrogen is performed, based on the Dirac equation and second-order perturbation theory. The relativistic atomic states used for the calculations are obtained by making use of the finite basis set method and are expressed in terms of B splines and B polynomials. We introduce two experimental scenarios in which the light is circularly and linearly polarized, respectively. For each of these scenarios, the polarization-dependent angular distribution and the degrees of circular and linear polarization of the scattered light are investigated as a function of scattering angle and photon energy. Analytical expressions are derived for the polarization-dependent angular distribution which can be used for scattering by both hydrogenic as well as many-electron systems. Detailed computations are performed for Rayleigh scattering by atomic hydrogen within the incident photon energy range 0.5 to 5 keV. Particular attention is paid to the effects that arise from higher (nondipole) terms in the expansion of the electron-photon interaction.

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  • Received 14 August 2012

DOI:https://doi.org/10.1103/PhysRevA.86.043405

©2012 American Physical Society

Authors & Affiliations

L. Safari1,*, P. Amaro2,3, S. Fritzsche1,4, J. P. Santos3, S. Tashenov2, and F. Fratini1,5

  • 1Department of Physics, University of Oulu, Box 3000, FI-90014 Oulu, Finland
  • 2Physikalisches Institut, Universität Heidelberg, D-69120 Heidelberg, Germany
  • 3Centro de Física Atómica, Departamento de Física, Faculdade de Ciências e Tecnologia, FCT, Universidade Nova de Lisboa, P-2829-516 Caparica, Portugal
  • 4GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany
  • 5Departamento de Física - CP 702 - Universidade Federal de Minas Gerais - 30123-970 - Belo Horizonte - MG - Brazil

  • *laleh.safari@oulu.fi

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Issue

Vol. 86, Iss. 4 — October 2012

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