Wake of a beam passing through a diffraction radiation target

Diffraction radiation (DR) is one of the most promising candidates for electron beam diagnostics for International Linear Collider and x-ray free electron lasers due to its nonintercepting characteristic. One of the potential problems that may restrict its applications in real-time monitoring beam parameters is the wakefield generated by the presence of the DR target. In this paper, a comparative study of the wakefield and the backward DR (BDR) field is performed to clarify the relationship between them. The wakefield is studied with a particle-in-cell code magic and the DR field is calculated based on virtual photon diffraction model. It is found that they have the same frequency spectrum and angular distribution, which indicates that the difference only exists in the subjective terminology. The longitudinal and transverse wake for a beam passing through a DR target is calculated for a general case when the beam’s velocity is smaller than that of light. The resulted emittance growth and energy spread growth due to the short range wakefield is estimated and found to be permissible. In real measurement where BDR propagates in the direction perpendicular to the trajectory, it may add a transverse kick to the beam as a requirement of momentum conservation. The kick is found to be large enough to degrade the performance of accelerator driven facilities and needs to be corrected.