On the spectral shape of radiation due to Inverse Compton Scattering close to the maximum cut-off

TL;DR

This paper derives analytical expressions for the spectral shape of inverse Compton radiation near the maximum cut-off, considering different photon fields and electron distributions, bridging electron properties with observed spectra.

Contribution

It provides new asymptotic formulas for the spectrum near the cut-off in both Thomson and Klein-Nishina regimes, applicable to various photon fields.

Findings

Derived analytical asymptotic expressions for the spectrum near the cut-off.

Established a direct link between electron distribution and spectral shape at the cut-off.

Applicable to monoenergetic, Planckian, and Synchrotron photon fields.

Abstract

The spectral shape of radiation due to Inverse Compton Scattering is analyzed, in the Thomson and the Klein-Nishina regime, for electron distributions with exponential cut-off. We derive analytical, asymptotic expressions for the spectrum close to the maximum cut-off region. We consider monoenergetic, Planckian and Synchrotron photons as target photon fields. These approximations provide a direct link between the distribution of parent electrons and the up-scattered spectrum at the cut-off region.