Compton scattering I: Angular distribution and polarization degree

In this work, the polarization effect on Compton scattering was studied, where the new direct analytical expressions were deduced to calculate the angular distribution and the polarization degree for Compton scattering and its ratio of intensities. The expressions are included formula for the completely polarized, unpolarized incident rays beside the partially polarized incident rays. The obtained values were in excellent agreement with the previously reported values, also the calculations were extended for many polarization degrees of incident rays with energies from 0.1 MeV to 3 MeV.