Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal

Abstract We propose a novel type of one-dimensional photonic crystal called Fibonacci quasi-periodic graphene photonic crystal (FGPC), in which the structure in each dielectric cell follows the Fibonacci sequence and the graphene monolayers are embedded between adjacent dielectric layers. The transmission properties of FGPC are investigated using transfer matrix method in detail. It is shown that both photonic band gap induced by graphene (GIBPG) and the Bragg gap exist in the structure. We study the band gaps of TE and TM waves at different incident angles or chemical potentials. It is found that the band gaps can be tuned via a gate voltage and GIBPG is almost omnidirectional and insensitive to the polarization. In order to investigate difference between the GIPBG and Bragg gap, we plot the electromagnetic field profiles inside FGPC for some critical frequencies. The propagation loss of the structure caused by absorption of graphene is researched in detail. Also, the passing bands of Fibonacci sequences of different orders and their splitting behavior at higher order are investigated.

[1]  Quang,et al.  Spontaneous emission near the edge of a photonic band gap. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[2]  F. Ramos-Mendieta,et al.  Optical properties of a dielectric-metallic superlattice: the complex photonic bands , 2004 .

[3]  Simin Feng,et al.  Optical properties of multilayer metal-dielectric nanofilms with all-evanescent modes. , 2005, Optics express.

[4]  B. Djafari-Rouhani,et al.  Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  A. Lavrinenko,et al.  Observation of total omnidirectional reflection from a one-dimensional dielectric lattice , 1998, cond-mat/9811073.

[6]  Francisco Medina,et al.  Enhanced transmission with a graphene-dielectric microstructure at low-terahertz frequencies , 2012 .

[7]  J. Zi,et al.  Transfer matrix method for optics in graphene layers , 2012, Journal of physics. Condensed matter : an Institute of Physics journal.

[8]  Andre K. Geim,et al.  Electric Field Effect in Atomically Thin Carbon Films , 2004, Science.

[9]  H. Da,et al.  Omnidirectional reflection from one-dimensional quasi-periodic photonic crystal containing left-handed material , 2005 .

[10]  A. Geim,et al.  Two-dimensional gas of massless Dirac fermions in graphene , 2005, Nature.

[11]  Yang Wu,et al.  Measurement of the optical conductivity of graphene. , 2008, Physical review letters.

[12]  Ibrahim Abdulhalim,et al.  Omnidirectional reflection from Fibonacci quasi-periodic one-dimensional photonic crystal , 2001 .

[13]  S. Tredwell,et al.  Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures , 1999 .

[14]  Nicolas Godbout,et al.  Large nonlinear Kerr effect in graphene , 2012, 1203.5527.

[15]  Wang He-zhou,et al.  Broad Omnidirectional Reflection Band Forming using the Combination of Fibonacci Quasi-Periodic and Periodic One-Dimensional Photonic Crystals , 2003 .

[16]  Nicolas Godbout,et al.  Z-scan measurement of the nonlinear refractive index of graphene. , 2012, Optics letters.

[17]  N. Peres,et al.  Unusual reflection of electromagnetic radiation from a stack of graphene layers at oblique incidence , 2013, 1307.4096.

[18]  F. Guinea,et al.  The electronic properties of graphene , 2007, Reviews of Modern Physics.

[19]  J. Federici,et al.  Analytical solution for photonic band-gap crystals using Drude conductivity , 2004 .

[20]  Shuangchun Wen,et al.  Microwave and optical saturable absorption in graphene. , 2012, Optics express.

[21]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[22]  S. R. Entezar,et al.  Optical properties of one-dimensional photonic crystals containing graphene sheets , 2013 .

[23]  L. Falkovsky,et al.  Optical far-infrared properties of a graphene monolayer and multilayer , 2007, 0707.1386.

[24]  Philip Kim,et al.  Electric field modulation of galvanomagnetic properties of mesoscopic graphite. , 2004, Physical Review Letters.

[25]  C. Soukoulis,et al.  Highly directional emission from photonic crystal waveguides of subwavelength width. , 2004, Physical review letters.