Transmission Properties of One-Dimensional Magneto-Optical Photonic Crystals Containing Graphene Nanolayers
Tóm tắt
Photonic crystals containing graphene nanolayers have been attracting increasing attention due to their distinctive properties. In this paper, we present a theoretical analysis on the transmission properties of magneto-photonic crystals containing graphene nanolayers by using the transfer matrix method. The investigation shows that unidirectional defect modes with high transmittance can be achieved in the proposed structure, and broad flat-top photonic conduction bands (PCBs) can also be found between the graphene-induced photonic band gap and the Bragg gap. Furthermore, the study on the PCBs indicates that the relationship between the number of PCBs (n) and the period number of the structure (N) can be expressed as n = N − 1(N = 2,3,4…). And, new and unexpected photonic band gaps among PCBs are observed. The effects of chemical potential of graphene, thickness of defect layer, and incident angle on transmission properties are also discussed. The research results may provide a valuable reference for the design and fabrication of optical communication devices, such as isolators, switches, multichannel filters, and so on.
Tài liệu tham khảo
Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)
John, S.: Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486–2489 (1987)
Jiang, H., Chen, H., Li, H., et al.: Properties of one-dimensional photonic crystals containing single-negative materials. Phys. Rev. E Stat. Nonlin. Soft. Matter Phys. 69, 066607 (2004)
Awasthi, S.K., Ojha, S.P.: Design of a tunable optical filter by using a one-dimensional ternary photonic band gap material. Prog. Electromagn. Res. M 4, 117–132 (2008)
Wu, C.J., Chang, S.J., Yang, T.J., et al.: Terahertz multichanneled filter in a superconducting photonic crystal. Opt. Exp. 18, 27155–27166 (2010)
Deopura, M., Ullal, C.K., Temelkuran, B., et al.: Dielectric omnidirectional visible reflector. Opt. Lett. 26, 1197–1199 (2001)
Ponnampalam, N., Decorby, R.G.: Analysis and fabrication of hybrid metal-dielectric omnidirectional Bragg reflectors. Appl. Opt. 47, 30–37 (2008)
Heebner, J.E., Chak, P., Pereira, S., et al.: Distributed and localized feedback in microresonator sequences for linear and nonlinear optics. Opt. Soc. Am. J. B 21, 1818–1832 (2004)
Heebner, J.E., Lepeshkin, N.N., Schweinsberg, A., et al.: Enhanced linear and nonlinear optical phase response of AlGaAs microring resonators. Opt. Lett. 29, 769–771 (2004)
Yu, Z.F., Veronis, G., Wang, Z., et al.: One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal. Phys. Rev. Lett. 100, 023902 (2008)
Khanikaev, A.B., Baryshev, A.V., Inoue, M., et al.: One-way electromagnetic Tamm states in magnetophotonic structures. Appl. Phys. Lett. 95, 011101 (2009)
Novoselov, K.S., Geim, A.K., Morozov, S.V., et al.: Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004)
Novoselov, K.S., Geim, A.K., Morozov, S.V., et al.: Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005)
Falkovsky, L.A., Pershoguba, S.S.: Optical far-infrared properties of a graphene monolayer and multilayer. Phys. Rev. B 76, 153410 (2007)
Kaipa, C.S.R., Yakovlev, A.B., Hanson, G.W., et al.: Enhanced transmission with a graphene-dielectric microstructure at low-terahertz frequencies. Phys. Rev. B 85, 245407 (2012)
Madani, A., Entezar, S.R.: Optical properties of one-dimensional photonic crystals containing graphene sheets. Phys. B Phys. Cond. Matter 431, 1–5 (2013)
Madani, A., Entezar, S.R.: Surface polaritons of one-dimensional photonic crystals containing graphene monolayers. Superlattices Microstruct. 75, 692–700 (2014)
Entezar, S.R., Saleki, Z., Madani, A.: Optical properties of a defective one-dimensional photonic crystal containing graphene nanolayers. Phys. B Cond. Matter 478, 122–126 (2015)
Fan, Y., Wei, Z., Li, H., et al.: Photonic band gap of a graphene-embedded quarter-wave stack. Phys. Rev. B 88, 241403 (2013)
Barzegarparizi, S.: Study of backward waves in multilayered structures composed of graphene micro-ribbons. J. Appl. Phys. 119, 946–957 (2016)
Yan, H., Li, X., Chandra, B., et al.: Tunable infrared plasmonic devices using graphene/insulator stacks. Nat. Nanotechnol. 7, 330–334 (2012)
Sensale-Rodriguez, B., Yan, R., Kelly, M.M., et al.: Broadband graphene terahertz modulators enabled by intraband transitions. Nat. Commun. 3, 1–7 (2012)
Khanikaev, A.B., Baryshev, A.V., Inoue, M., et al.: One-way electromagnetic Tamm states in magnetophotonic structures. Appl. Phys. Lett. 95, 011101 (2009)
Mikhailov, S.A., Ziegler, K.: New electromagnetic mode in graphene. Phys. Rev. Lett. 99, 016803 (2007)
Wang, Z., Chong, Y.D., Joannopoulos, J.D., et al.: Reflection-free one-way edge modes in a gyromagnetic photonic crystal. Phys. Rev. Lett. 100, 013905 (2008)
Kong, X., Liu, S., Zhang, H., et al.: A novel tunable filter featuring defect mode of the TE wave from one-dimensional photonic crystals doped by magnetized plasma. Phys. Plasmas 17, 103506 (2010)
Upadhyay, M., Awasthi, S.K., Shiveshwari, L., et al.: Two channel thermally tunable band-stop filter for wavelength selective switching applications by using 1D ternary superconductor photonic crystal. J. Supercond. Novel Magn. 28, 1–6 (2015)
Khundrakpam, P., Kumar, A.: Design of a thermally tunable optical filter based on one-dimensional ternary photonic band gap material. Optik 126, 3030–3033 (2015)
Xu, K.Y., Zheng, X., Li, C.L., et al.: Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index. Phys. Rev. E 71, 066604 (2005)