Microwave properties of the generalized Fibonacci quasi-periodic multilayered photonic band gap structure

• Autorzy: Trabelsi Y. , Kanzari M. , Rezig B.
• Języki publikacji: EN

Abstrakty

EN

The transmission properties in microwave domains (10 GHz to 40 GHz) of generalized dielectric Fibonacci multilayer generated by the rule Sl+1 = SmlSnl-1: with a pair of positive integers m and n were studied. The initial generations of generalized Fibonacci sequence are taken as follows: S0 = L and S1 = H, where H and L are two elementary layers with refractive indices nL = 1 (air) and nH = 3 (ceramic). The so-called "trace map method" was used to simulate the transmission spectra of the multilayer structures at normal incidence. Based on the representation of the transmittance spectra in the microwave range an analysis depending on the pair (n, m) is presented. It has been shown that the reflection bands of the proposed quasi-periodic structure could cover the whole spectral range. By comparison, it is impossible to reach this result by using the periodical multilayer structure.

Słowa kluczowe

EN

generalized Fibonacci multilayer; photonic crystal; Fibonacci dielectric multilayer; microwave band gap structure

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2009
• Tom: Vol. 39, nr 2
• Strony: 319--329
• Opis fizyczny: bibliogr. 24 poz.,

Twórcy

autor

Trabelsi Y.

autor

Kanzari M.

autor

Rezig B.

• Photovoltaic and Semiconductor Materials Laboratory, El-Manar University, Tunis, Tunisia

Bibliografia

• [1] YANG F.-R., QIAN Y., COCCIOLI R., ITOH T., A novel low-loss slow-wave microstrip structure, IEEE Microwave and Guided Wave Letters 8(11), 1998, pp. 372–374.
• [2] KEE C.S., JANG M.Y., KIM S.I., PARK I., LIM H., Tuning and widening of stop bands of microstrip photonic band gap ring structures, Applied Physics Letters 86, 2005, p. 181109.
• [3] YABLONOVITCH E., Inhibited spontaneous emission in solid-state physics and electronics, Physical Review Letters 58(20), 1987, pp. 2059–2062.
• [4] SANG HONG-YI, LI ZHI-YUAN GU BEN-YUAN, Defect modes in multiple-constituent one-dimensional photonic crystals examined by an analytic Bloch-mode approach, Chinese Physics Letters 22(2), 2005, pp. 365–368.
• [5] CASSAGNE D., BARRA A., JOUANIN C., Defects and diffraction in photonic crystals, Superlattices and Microstructure 25(1–2), 1999, pp. 343–346.
• [6] DEOPURA M., ULLAL C.K., TEMELKURAN B., FINK Y., Dielectric omnidirectional visible reflector, Optics Letters 26(15), 2001, pp. 1197–1199.
• [7] JOANNOPOULOS J.D., MEADE R.D., WINN J.N., Photonic Crystals: Molding the Flow of Light, Princeton University Press, New Jersey, 1995.
• [8] ZHANG D.Z., LI Z.L., HU W., CHENG B.Y., Broadband optical reflector – an application of light localization in one dimension, Applied Physics Letters 67(17), 1995, pp. 2431–2432.
• [9] HAN PENG, WANG HE-ZHOU, Effect of invariant transformation in one-dimensional randomly--perturbed photonic crystal, Chinese Physics Letters 20(9), 2003, pp. 1520–1523.
• [10] MACIA E., Optical engineering with Fibonacci dielectric multilayers, Applied Physics Letters 73(23), 1998, pp. 3330–3332.
• [11] KOHMOTO M., SUTHERLAND B., IGUCHI K., Localization of optics: quasiperiodic media, Physical Review Letters 58(23), 1987, pp. 2436–2438.
• [12] ABAL G., DONANGELO R., ROMANELLI A., SICARDI SCHIFINO A.C., SIRI R., Dynamical localization in quasiperiodic driven systems, Journal of Physical Review E 65(4), 2002, p. 046236.
• [13] LUSK D., ABDULHALIM I., PLACIDO F., Omnidirectional refection from Fibonacci quasi-periodic one-dimensional photonic crystal, Optics Communications 198(4–6), 2001, pp. 273–279.
• [14] PENG R.W., HUANG X.Q., QIU F., MU WANG, HU A., JIANG S.S., MAZZER M., Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayer, Applied Physics Letters 80(17), 2002, pp. 3063–3065.
• [15] GUMBS G., ALI M.K., Dynamical maps, Cantor spectra and localization for Fibonacci and related quasiperiodic lattices, Physical Review Letters 60(11), 1988, pp. 1081–1084.
• [16] PENG R.W., MU WANG, HU A., JIANG S.S., JIN G.J., FENG D., Photonic localization in one-dimensional k-component Fibonacci structures, Physical Review B 57(3), 1998, pp. 1544–1551.
• [17] KLAUZER-KRUSZYNA A., SALEJDA W., TYC M.H., Polarized light transmission through generalized Fibonacci multilayers. I. Dynamical maps approach, Optik – International Journal for Light and Electron Optics 115(6), 2004, pp. 257–266.
• [18] KLAUZER-KRUSZYNA A., SALEJDA W., TYC M.H., Polarized light transmission through generalized Fibonacci multilayers. II. Numerical results, Optik – International Journal for Light and Electron Optics 115(6), 2004, pp. 267–276.
• [19] KOHMOTO M., KADANOFF L.P., TANG C., Localization problem in one dimension: mapping and escape, Physical Review Letters 50(23), 1983, pp. 1870–1872.
• [20] XIAOGUANG WANG, GRIMM U., SCHREIBER M., Trace and antitrace maps for aperiodic sequences: extensions and applications, Physical Review B 62(21) , 2000, pp.14020–14031.
• [21] KOLÁ M., ALI M.K., One-dimensional generalized Fibonacci tilings, Physical Review B 41(10) 1990, pp. 7108–7112.
• [22] DULEA M., SEVERIN M., RIKLUND R., Transmission of light through deterministic aperiodic non -Fibonaccian multilayers, Physical Review B 42(6),1990, pp. 3680–3689.
• [23] BEN ABDELAZIZ K., ZAGHDOUDI J., KANZARI M., REZIG B., A broad omnidirectional reflection band obtained from deformed Fibonacci quasi-periodic one dimensional photonic crystal, Journal o Optics A: Pure and Applied Optics 7(10), 2005, pp. 544–549.
• [24] ZAGHDOUDI J., KANZARI M., REZIG B., A dielectric chirped layered mirror for optica telecommunication wavelengths, Optical Review 14(2), 2007, pp. 91–96.