Monte-Carlo simulation on Compton double scattering of polarized X-rays

A Monte-Carlo simulation of energy spectra of Compton double scattered X-rays has been made as functions of the incident energy of elliptically polarized X-rays and the atomic number of samples having different shapes and volumes. This simulation is based on the previous one made by one of the authors (N.S.), in which completely circularly polarized γ-rays were only assumed, and is improved to meet the multiple scattering correction on experimental Compton profiles measured with linearly or elliptically polarized synchrotron radiations. The results are compared with two experiments in reasonable agreement.