Resonance diffraction radiation from ultrarelativistic particles

A Smith-Purcell radiation from ultrarelativistic electrons on a "flat" grating made up of a set of conducting strips is considered. The proposed model treating the Smith-Purcell effect (SPE) as the resonance diffraction radiation makes it possible to estimate the SPE characteristics for small outgoing photon angles θ ≪ 1, where conventional approaches cannot be used due to computational difficulties. A new type of an optical grating, simple and technologically inexpensive, is proposed, ft consists of parallel aluminum strips deposited onto a quartz substrate whose thickness is determined using the criterion of the minimum reflected intensity of optical radiation with a wavelength corresponding to SPE.