Theory of one-dimensional Bragg lattices of planar geometry

Summary form only given. The use of one- and two-dimensional Bragg resonators of planar geometry, realizing distributed feedback, is considered as a method of producing spatially coherent radiation from a high-current sheet electron beam. The problem of excitation of a one-dimensional Bragg grating is studied. The model of coupled resonators is proposed for investigation the diffraction of electromagnetic waves on a waveguide surface with arbitrary corrugation profile. Equations in definite form are presented for rectangular corrugation of plates constituting a lattice. Reflective properties of one-dimensional Bragg lattices of planar geometry are investigated. Computational results for reflectivity of Bragg lattices depending on the length of corrugation and frequency on incident electromagnetic wave are obtained. Analytical solution is obtained for the case of "narrow" corrugation.