The orbital angular momentum of radiation from relativistic electrons in the laser wave field with linear polarization

The paper reports the results of calculations of the generation of twisted photons by relativistic electrons in the laser wave field with linear polarization. It is shown that in this case the probability of radiation of twisted photons obeys the selection rule that n + m is an even number. The radiation of the probability of detecting a twisted photon is numerically investigated depending on various parameters: photon energy, helicity and the cone opening of the twisted photon. In general, the radiation of twisted photons by electrons in the laser wave field with linear polarization is a mixture of twisted photons at the total angular momentum of the photons; however, we have found conditions when generation of twisted photons will be an almost pure source of twisted photons.