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I want to know how the electric vector (polarization) of individual photon changes after Compton scattering. Is that totally a random process, means the photon electric vector orientation change has uniform probability between $0$ to $2\pi$? I know that after Compton scattering the direction of Compton scattered photons have azimuthal asymmetry (probability high in perpendicular to linear polarization direction - if memory serves).

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