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The paper considers Bragg reflection and mode conversion of waves of both polarizations in horns filled with a medium having a nonperiodic two-dimensional perturbation of permittivity. The combination of longitudinal and angular quasi-periodic inhomogeneity supplies resonance coupling of waves with different angular numbers or/and directions of propagation. Solution of the boundary-value problem is found by the asymptotic method of Krylov, Bogoliubov and Mitropolsky. The phenomenon of "Brewsterization" of Bragg reflection is investigated.

plane horn; Bragg effects; quasi-periodic inhomogeneity; anisotropic expansions; polarization coupling