### 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.

Original language | English |
---|---|

Article number | 043405 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 86 |

Issue number | 4 |

DOIs | |

Publication status | Published - 3 Oct 2012 |

## Fingerprint Dive into the research topics of 'Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen'. Together they form a unique fingerprint.

## Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*86*(4), [043405]. https://doi.org/10.1103/PhysRevA.86.043405