| Summary: | The transmission spectra by a one-dimensional (1D) inhomogeneous stratified medias organized following the Octonacci sequence are investigated. The transfer-matrix method and the Frequency-dependent dispersion formula according to the two-fluid Gorter–Casimir theory are deployed. The proposed hetero-structures are made up of Yttrium oxide, known as yttria, Y2O3 (A) and superconductor (B): yttrium–barium–copper oxide (YBa2Cu3O7), resulting in the (BTO/Y2O3)N/YBCO/(Y2O3/BTO)N multilayered nanostructure array. We report the localization of modes through the multilayered stacks built according to the inflation rule of quasi-periodic Octonacci sequence. Localized defect modes were obtained for specific generation of Octonacci structure and for both TE and TM modes. The optical properties exhibiting different regions with zero transmission called photonic bandgaps (PBGs) that can be tuned by Octonacci order and temperature of Bulk superconductor. The performance of defect modes that allows the propagation of optical signals and the inter-channels are evaluated by tailoring the superconductor temperature, the Octonacci order, the direction of the incident wave, and the deformation degree (parameter that control the thickness of superconductor lattices). The proposed system exhibits similar localized resonators operating at cryogenic temperature environments. We verify that bandgaps modifications are influenced by the deformation strain applied along whole thicknesses slab.
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