Abstract
Based on the non-symmetric transmission-line method, the band gap structure of disordered chiral photonic crystals (CPC) has been investigated. The influence of the chiral parameters, the disorder, the periods and the refractive index on the band gap structure has been discussed. It is found that the photonic band gap (PBG) in CPC is more obvious than that in the conventional photonic crystals, and the PBG can be increased by increasing the periods or the contrast of the refractive index of the two media. It is also found that the existence of disorder will influence the band edge of the PBG, and such influence will increase with the increment of periods or the contrast of the refractive index of the two media.
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Asatryan A.A., Bottons L.C., Byrne M.A., Langtry T.N., Nicorovici N.A.: Conductance of photons in disordered photonic crystals. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 71, 036623 (2005). doi:10.1103/PhysRevE.71.036623
Chen J.Y., Chen L.W.: Defect modes in a stacked structure of chiral photonic crystals. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 71, 061708 (2005). doi:10.1103/PhysRevE.71.061708
Chutinan A., Noda S.: Spiral three-dimensional photonic-band-gap structure. Phys. Rev. B 57, R2006–R2008 (1998). doi:10.1103/PhysRevB.57.R2006
Dzedolik I.V.: One-dimensional controllable photonic crystal. J. Opt. Soc. Am. B 24, 2741–2745 (2007). doi:10.1364/JOSAB.24.002741
Flood K.M., Jaggard D.L.: Band-gap structure for periodic chiral media. J. Opt. Soc. Am. A 13, 1395–1406 (1996)
Gevorgyan A.H., Harutyunyan M.Z.: Chiral photonic crystals with an anisotropic defect layer. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 76, 031701 (2007). doi:10.1103/PhysRevE.76.031701
Hou P., Chen Y.Y., Shi J.L., Wang Q.: Giant bistable shifts for one-dimensional nonlinear photonic crystals. Phys. Rev. A 75, 045802 (2007). doi:10.1103/PhysRevA.75.045802
Jiang H.T., Chen H., Li H.Q., Zhang Y.W., Zhu S.Y.: Omnidirectional gap and defect mode of one-dimensional photonic crystalscontaining negative-index materials. Appl. Phys. Lett. 83, 5386–5388 (2003). doi:10.1063/1.1637452
Jiang H.T., Chen H., Li H.Q., Zhang Y.W., Zi J., Zhu S.Y.: Properties of one-dimensional photonic crystals containing single-negative materials. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 69, 066607 (2004). doi:10.1103/PhysRevE.69.066607
John S.: Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486–2489 (1987). doi:10.1103/PhysRevLett.58.2486
Kaliteevski M.A., Beggs D.M., Brand M., Abram R.A., Nikolave V.V.: Stability of the photonic band gap in the presence of disorder. Phys. Rev. B 73, 033106 (2006). doi:10.1103/PhysRevB.73.033106
Kopp V.I., Bose R., Genack A.Z.: Transmission through chiral twist defects in anisotropic periodic structures. Opt. Lett. 28, 349–351 (2003). doi:10.1364/OL.28.000349
Li C.G., Tian H.P., Zheng C., Ji Y.F.: Improved line defect structures for slow light transmission in photonic crystal waveguide. Opt. Commun. 279, 214–218 (2007a). doi:10.1016/j.optcom.2007.06.058
Li Z.F., Aydin K., Ozbay E.: Highly directional emission from photonic crystals with wide bandwidh. Appl. Phys. Lett. 91, 121105 (2007b). doi:10.1063/1.2786590
Maksymov I.S., Marsal L.F., Ustyantsev M.A.: Pallares: band structure calculation in two-dimensional Kerr-nonlinear photonic crystals. Opt. Commun. 248, 469–477 (2005). doi:10.1016/j.optcom.2004.12.022
Popta A.C., Brett M.J., Sit J.C.: Double-handed circular bragg phenomena in polygonal helix thin films. J. Appl. Phys. 98, 083517 (2005). doi:10.1063/1.2115092
Psarobas I.E.: Effective-medium description of dielectric-chiral photonic crystals. Opt. Commun. 162, 21–25 (1999). doi:10.1016/S0030-4018(99)00073-5
Reyes J.A., Lakhtakia A.: Optics of electrically controlled structurally chiral material with periodic transverse perturbation for polarization-universal bandgaps. Opt. Commun. 270, 51–57 (2007). doi:10.1016/j.optcom.2006.08.030
Sozuer H.S., Sevim K.: Robustness of one-dimensional photonic band gaps under variations of geometrical parameters. Phys. Rev. B 72, 195101 (2005). doi:10.1103/PhysRevB.72.195101
Thiel M., Freymann G., Wegener M.: Layer-by-layer three-dimensional chiral photonic crystals. Opt. Lett. 32, 2547–2549 (2007a). doi:10.1364/OL.32.002547
Thiel M., Decker M., Deubel M., Wegener M., Linden S., Freymann G.: Polarization stop bands in chiral polymeric three-dimensional photonic crystals. Adv. Mater. 19, 207–210 (2007b). doi:10.1002/adma.200601497
Toader O., John S.: Proposed square spiral microfabrication architecture for large three-dimensional photonic band gap crystals. Science 292, 1133–1135 (2001). doi:10.1126/science.1059479
Vinogradov A.P., Merzlikin A.M.: Band theory of light localization in one-dimensional disordered systems. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 70, 026610 (2004). doi:10.1103/PhysRevE.70.026610
Woon K.L., Neill M.O.: Stokes parameter studies of spontaneous emission from chiral nematic liquid crystals as a one-dimensional photonic stopband crystal: experiment and theory. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 71, 041706 (2005). doi:10.1103/PhysRevE.71.041706
Xiao Z.Y., Wang Z.H.: One-dimensional chiral photonic band gap structure analyzed by non-symmetric transmission-line method. Opt. Commun. 237, 229–233 (2004). doi:10.1016/j.optcom.2004.04.015
Yablonovitch E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987). doi:10.1103/PhysRevLett.58.2059
Yu T.B., Jiang X.Q., Yang J.Y., Zhou H.F., Liao Q.H., Wang M.H.: Self-imaging effect of TM modes in photonic crystal multimode waveguides only exhibiting band gaps for TE modes. Phys. Lett. A 369, 167–171 (2007). doi:10.1016/j.physleta.2007.04.078
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Wang, T., Pu, J. Band gap structure of disordered chiral photonic crystals. Opt Quant Electron 40, 757–765 (2008). https://doi.org/10.1007/s11082-008-9263-0
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DOI: https://doi.org/10.1007/s11082-008-9263-0