Elaboration of the gap-map method for the design and analysis of one-dimensional photonic crystal structures

The theoretical approach based on photonic gap-map (GM) presentation is elaborated for the design of one-dimensional (1D) photonic crystal structures based on Si with (i) omnidirectional reflection and (ii) tunable defect modes. The features of the omnidirectional band gap formation for photonic crystals of medium optical contrast and low number of periods have been explained. The formation of a 1D photonic structure of limited number of periods with omnidirectional band gap close to that for an infinite periodic structure has been discussed. The possibility for tuning the resonance peak position of a photonic crystal with a microcavity depending on its refractive index and thickness has been demonstrated for light at different incident angles and polarizations.