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Eigen modes of quasiperiodic layered resonators

Layered Bragg structures are widely observed in nature and applied in engineering. Permittivity or/and permeability of layers are usually supposed to be periodical functions of space coordinate [1–3]. Distortions of periodicity supply additional possibilities for effects of wave scattering [4]. For obtaining desired complex amplitudes of scattered plane waves as function versus incident frequency or angle, spatial distribution of magnitude and phase of quasiperiodic perturbation can be used.