The purpose of this paper is to theoretically investigate the properties of electromagnetic wave propagating in both one-dimensional periodic and quasiperiodic photonic crystals consisting of high-temperature yttrium barium copper oxide and strontium titanate dielectric nano-scale materials in the ultraviolet wavelength region. By using the transfer matrix method, angle-, polarization- and thickness-dependences of created PBGs are explored individually for periodic and quasiperiodic structures, and some interesting features are presented in the results section. Such supposed structures can be acts as very compact polarization sensitive splitters and defect-free multichannel narrowband tunable filters.
2. John, S., et al., "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett., Vol. 58, 2486-2489, 1987.
3. John, S., et al., "Spontaneous emission near the edge of a photonic band gap," Phys. Rev. A, Vol. 50, No. 2, 1764-1769, 1994.
4. Russell, P. S., "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures," Opt. Commun., Vol. 160, 66-71, 1999.
5. Kramper, P., et al., "Highly directional emission from photonic crystal waveguides of subwavelength width," Phys. Rev. Lett., Vol. 92, 113903–7, 2004.
6. Janot, C., Quasicrystals, Clarendon Press, Oxford, 1994.
7. Abdelaziz, K. B., J. Zaghdoudi, M. Kanzari, and B. Rezig, "A broad ominidirectional re?ection band obtain from deformed Fibonacii quasi-periodic one dimensional photonic crystals," J. Opt. A: Pure Appl. Opt., Vol. 7, 544-549, 2005.
8. Hsueh, W. J., "Omnidirectional band gap in Fibonacci photonic crystals with metamaterials using a band-edge formalism," Phys. Rev. A, Vol. 78, 013836-013842, 2008.
9. Tang, Z., et al., "One-way electromagnetic waveguide using multiferroic Fibonacci superlattices," Opt. Commun., Vol. 356, 21-24, 2015.
10. Lavrinenko, A. V., et al., "Propagation of classical waves in nonperiodic media: Scaling properties of an optical Cantor filter," Physical Review E — Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, 036621-036628, 2002.
11. Hattori, H. T., et al., "Cantor set fiber Bragg grating," Journal of the Optical Society of America A: Optics and Image Vision, Vol. 17, 1583-1589, 2000.
12. Bednorz, J. G., "Possible high Tc superconductivity in the Ba-La-Cu-O system," Z. Physik, Vol. 64, 189-195, 1986.
13. Takeda, H., et al., "Tunable photonic band schemes in two-dimensional photonic crystals composed of copper oxide high-temperature superconductors," Phys. Rev. B, Vol. 67, 245109-245115, 2003.
14. Feng, L., et al., "Tunable negative refractions in two-dimensional photonic crystals with superconductor constituents," J. Appl. Phys., Vol. 97, 073104-073110, 2005.
15. Pei, T., et al., "A temperature modulation photonic crystal Mach-Zehnder interferometer composed of copper oxide high-temperature superconductor," J. Appl. Phys., Vol. 101, 084502–5, 2007.
16. Diaz-Valencia, B. F., "Photonic band gaps of a two-dimensional square lattice composed by superconducting hollow rods," Physica C, Vol. 505, 74-79, 2014.
17. Liu, H., et al., "Temperature-dependent random lasing from superconducting scattering gain media," Optik, Vol. 126, 5579-5582, 2015.
18. Tinkham, M., Introduction to Superconductivity, McGraw-Hill, New York, 1996.