Bremsstrahlung photon polarization for ${ee^\pm\to(e\gamma)e^\pm}$, and ${ep\to(e\gamma)p}$ high energy collisions

The polarization of bremsstrahlung photon in the processes $ee^\pm\to(e\gamma)e^\pm$, and $ep\to (e\gamma)p$ is calculated for peripheral kinematics, in the high energy limit where the cross section does not decrease with the incident energy. When the initial electron is unpolarized (longitudinally polarized) the final photon can be linearly (circularly) polarized. The Stokes parameters of the photon polarization are calculated as a function of the kinematical variables of the process: the energy of recoil particle, the energy fraction of scattered electron, and the polar and azimuthal angles of photon. Numerical results are given in form of tables, for typical values of the relevant kinematic variables.