One-Dimensional Photonic SiO₂–TiO₂ Crystals: Simulation and Synthesis by Sol–Gel Technology Methods

Abstract—The approach to synthesize one-dimensional photonic SiO₂–TiO₂ crystals by sol–gel methods is developed. Using the method of transfer matrices, structures consisting of 13 layers of alternating materials having the properties of one-dimensional photonic crystals with the minimal transmission coefficient of 7% in the photonic band gap range and that of 97.5% in the remaining spectrum parts are calculated and experimentally created. The positions of the photonic band gaps change along with the thicknesses of the layers of the materials composing the photonic crystal. The possibility of creating an optical filter as a result of introducing a structural defect in the form of a layer of doubled thickness is demonstrated.