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Within the quasi-optical approach, we study nonlinear dynamics of co-axial and cylindrical surface-wave oscillators with two-dimensional periodic gratings. Electromagnetic fields in these structures are formed by a superposition of coupled quasi-optical wave-beams propagating in the azimuthal and longitudinal directions. Presence of the azimuthal wave-beams leads to a substantial spectrum rarefication of the modes with different azimuthal indices thus allowing their selective excitation by a large radius rectilinear hollow electron beam.
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Ginzburg et al. (2013) studied this question.
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