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The Smith Purcell effect, observed when an electron beam passes in thevicinity of a periodic structure, is a promising platform for the generation ofelectromagnetic radiation in previously-unreachable spectral ranges. However,most of the studies of this radiation were performed on simple periodicgratings, whose radiation spectrum exhibits a single peak and its higherharmonics predicted by a well-established dispersion relation. Here, we proposea method to shape the spatial and spectral far-field distribution of theradiation using complex periodic and aperiodic gratings. We show, theoreticallyand experimentally, that engineering multiple peak spectra with controlledwidths located at desired wavelengths is achievable using Smith-Purcellradiation. Our method opens the way to free-electron driven sources withtailored angular and spectral response, and gives rise to focusingfunctionality for spectral ranges where lenses are unavailable or inefficient.

Spectral and spatial shaping of Smith Purcell Radiation