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 high-current sheet electron beam. The model of coupled resonators for determination of electromagnetic field diffraction at arbitrary waveguide surface corrugation, based on the equation obtained from two-dimensional boundary problem for Helmholtz equation without any approximations, is proposed. 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.