This study investigates the effect of filling factor and incident angle on the dispersion curve of (1D-PC) structures. This paper applied the transfer matrix method in conjunction with the Bloch theorem to study the dispersion properties of one-dimensional photonic crystals made by TiO2/ GaAs and TiO2/ MgF2. The effects of filling factor and incident angle on the photonic gap map are investigated for both TE and TM polarizations. It is found that the location, number, and width of the photonic gap are affected significantly by the filling factor and incident angle of the structure. Results are compared with published data and are found to be in good agreement. These approaches can allow for better characterization of multilayer metamaterial structures.

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O. Barkat and B. Mamri, “The effect of incident angle and filling factor on dispersion properties of different structures of one-dimensional photonic crystals,” International Journal of Technology and Engineering Studies, vol. 3, no. 4, pp.133-140, 2017.