Title screen

We investigate the radiation from a charged particle rotating around a diffractiongrating on a cylindrical surface. The grating consists metallic strips parallel tothe cylinder axis. The expressions are derived for the electric and magnetic fieldsand for the angular density of the spectral-angular distribution of the radiationintensity. The angular density of the radiation intensity is decomposed into the puresynchrotron, Smith-Purcell and interference contributions. Depending on theparameters of the diffraction grating, the interference can enhance or suppress theradiation on a given harmonic. The behavior of the radiation intensity on largeharmonics can be essentially different from that for a charge rotating in the vacuumor around a solid cylinder. Unlike to these limiting cases, for the geometry ofdiffraction grating the radiation intensity on higher harmonics does not vanish forsmall angles with respect to the cylinder axis. For given characteristics of thecharge, by the choice of the parameters of the grating, one can have highlydirectional radiation directed near the normal to the plane of the charge rotation.With decreasing energy, the relative contribution of the synchrotron radiationdecreases and the Smith-Purcell part is dominant.