The theory of planar Bragg resonators |
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Authors: | P. V. Petrov |
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Affiliation: | (1) Russian Federal Nuclear Center, All-Russia Research Institute of Technical Physics, Snezhinsk, Chelyabinsk oblast, 456770, Russia |
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Abstract: | The reflecting properties of one-dimensional planar Bragg gratings are studied. A coupled resonator model for studying the diffraction of electromagnetic waves in an arbitrarily corrugated waveguide is suggested. It is based on exact relationships that follow from the two-dimensional boundary-value problem stated in terms of the Helmholtz equation. The specific relationships for the rectangular corrugation of the grating-forming plates are presented. The reflection coefficients of the Bragg gratings vs. corrugation length and incident radiation frequency are calculated. An analytical solution for the “narrow” corrugation is obtained. |
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