Polarization of photons scattered by electrons in any spectral distribution

Abstract

Based on the quantum electrodynamics, we present a generic formalism of the polarization for beamed monochromatic photons scattered by electrons in any spectral distribution. The formulae reduce to the components of the Fano matrix when electrons are at rest. We mainly investigate the polarization in three scenarios, i.e., electrons at rest, isotropic electrons with a power law spectrum and thermal electrons. If the incident beam is polarized, the polarization is reduced significantly by isotropic electrons at large viewing angles, and the degree of polarization due to thermal electrons is about one times less than that of electrons in a power law. If the incident bean is unpolarized, soft $\gamma$-rays can lead to about 15% polarization at viewing angles around $\pi /4$. For isotropic electrons, one remarkable feature is that the polarization as a function of the incident photon energy always peaks roughly at 1 MeV, this is valid for both the thermal and power law cases. This feature can be used to distinguish the model of the inverse Compton scattering from that of the synchrotron radiation.

17 pages, 4 figures. to be published in ApJ

References in corpus (2)

• X-ray Polarization in Relativistic Jets
• Interpretation and implication of the non-detection of GeV spectrum excess by Fermi gamma-ray Space Telescope in most GRBs

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• Polarization of gamma-ray burst afterglows in the synchrotron self-Compton process from a highly relativistic jet
• X-ray Polarization of Inverse Compton Scattering by Thermal and Nonthermal Electrons