تونل زنی فوتونی در بلورهای فوتونیکی متا مواد تک منفی

نویسندگان

دانشگاه شهید مدنی تبریز

چکیده

در این مقاله ما تونل زنی فوتونی را از طریق ساختارFTIRبررسی میکنیم ساختارFTIRشامل بلورهای فوتونیکی مواد تک منفی یک بعدی است که بوسیله تکرار دوره ای و تناوبی از لایه هایو PIMNIM تشکیل شده است. ما یک دوره از لایه های مواد با ضریب شکست مثبت ومواد با ضریب شکست منفی را همانند یک ساختار در نظر می گیریم.وتونل زنی را برای این حالت بررسی میکنیم. سپس ما تغییرات بعد ازتونل زنی را بیشتر تحلیل می کنیم و زمان تاخیر گروهی را از طریقساختارهای متفاوت بدست می آوریم

کلیدواژه‌ها


عنوان مقاله [English]

Photon tunneling in single-negative metamaterials one-dimensional photonic crystals

نویسندگان [English]

  • Samad Roshan entezar
  • Abdorahman Namdar
  • Allahkaram Maraashinasab
چکیده [English]

 In this paper, we investigate the photon tunneling through metamaterial photonic crystals by using the transfer matrix method. We start with a single-period barrier for various periodic barrier of one positive index material (PIM) and negative index material (NIM) layer and calculate transmittance and group delay time through the barrier for various frequencies of incident wave and the post-tunneling position shifts in the direction normal to the layers, which deepened on the effective refractive index of the barrier. Then we extend to the barrier of a 2N-layer photonic crystal and find that the transmittance varies with layer number.

کلیدواژه‌ها [English]

  • Photon tunneling
  • Negative index materials
  • Photonic crystals
[1]   V.G. Veselago, “The Electrodynamics of Substances with Simultane- ously Negative Value of𝜀𝜀   ” , Soviet Physics Uspekhi 10, No.4 (1968) 509- 514.

[2]   J.B. Pendry, A.J. Holden, D.J. Robbins, and W.J. Stewart, “Magnetism from conductors and Enhanced Nonlinear phenomena”, IEEE Trans. Microwave Theory Tech. 47, No. 11 (1999) 2075-2084.

[3]  D.R. Smith, S. Schultz, P. Markoš, and C.M. Soukoulis, “Determination of Negative Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients”, Preprint (2/13/2002) 1-5.

[4]  R.W. Ziolkowski, “Wave Propagation in Media having Negative Permitt- ivity and Permeability”, Phys. Rev. E 64 (2001) 1-15.

[5]   J. B. Pendry, “Negative Refraction Makes a perfect Lens”, Phys. Rev. Lett. 85, No.18 (2000) 3966-3969.

[6]   V.G. Veselago and P.N. Lebedev, "The Electrodynamics of Substances with Simultaneously Negative Values of Permittivity and Permeability", Usp. Fiz. Nauk 92 (1964) 517-526.

[7]   X. Wang and Z.L. Wang ,"Photonic Crystals and Devices", Springer, New York (2007).

[8]    J.D. Joannopoulos, J.N. Winn, and R.D. Mead, "Photonic Crystals: Molding the Flow of Light", Pricenton University Press (1995).

[9]   J.R. Reitz, F.J. Mildford, and R.W. Christy, "Foundations of Electro- magnetice Theory", Third edition, Addison-Wesley (1979).

[10]  C.J. Fu and Z.M. Zhang, "Energy Transmission by Photon Tunneling in Multilayer Structures including Negative Index Materials", University
of Florida (2002) 32611.

[11]    R. Ruppin, "Surface Polaritons of a Left-Handed Material Slab," J. Phys.: Condens. Matter. 13 (2001) 1811–1819.

[12]   G. Guan, H. Jiang, H. Li Y. Zhang, H. Chen, and S. Zhu, "Tunneling Modes of Photonic Hetrostructures Consisting of Single-Negative Mater- ials", Appl. Phys. Lett. 88, (2006) 211112.

[13]    L. Wu, S. He, and L. Shen, "Band Structure for a One-dimensional Photonic Crystal Containing Left-handed Materials", Physical Review B 67, No. 23 (2003) 235103.

[14]  P. Yeh, A. Yariv, and C.-S. Hong, J. Opt. Soc. Am. 67 (1977) 423.

[15]  R.A. Shelby, D.R. Smith, and S. Schultz, Science 292 (2001) 77.

[16]   J.B. Pendry, A.J. Holden, W.J. Stewart, and I. Youngs, Phys. Rev Lett.

76 (1966) 4773.

[17]  D.R. Smith and N. Kroll, Phys. Rev. Lett. 85 (2000) 2933.

[18]  S.A. Ramakrishna, J.B. Pendry, D. Schurig, D.R. Smith, and S. Schultz,

J. Mod. Opt. 49 (2002) 1747.

[19]  Z.M. Zhang and C.J. Fu, Appl. Phys. Lett. 80 (2002) 1097. [20] K.Y. Kim, Phys. Rev. E 70 (2004) 047603.

[21]  R. Ruppin, Phys. Lett. A 277 (2000) 61.

[22]  D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, and S. Schultz,

Phys. Rev. Lett. 84 (2000) 4184.

[23]    R.A. Shelby, D.R. Smith, S.C. Nemat-Nasser, and S. Schultz, Appl. Phys. Lett. 78 (2001) 489.

[24]   D.R. Smith, D. Schurig, and J.B. Pendry, Appl. Phys. Lett. 81 (2002) 2713.

[25] X. Chen and C. F. Li, Phys. Rev. E 68 (2003) 052105.

[26]   K. Sakoda, “Pptical Properties of Photonic Crystals”, Springer-Verlag, Heidelberg (2001).

[27]  L.G. Wang , H. Chen , and S.Y. Zhu , “Omnidirectional Gap and Defect Mode of One-dimensional Photonic Crystals with Single-Negative Mater- ials”, Phys. Rev. B 70 (2004) 245102.

[28]   M.Z. Ali and T. Abdullah, “Properties of the Angular Gap in a One- dimensional Photonic Band Gap Structure Containing Single Negative Materials”, Phys. Lett. A 372 (2008) 1695.

[29]  A. Lakhtakia, C.M. Krowne, “Restricted Equivalence of Paired Epsilon- negative and Mu-negative Layers to a Negative Phase-velocity Material”, Optik 114 (2003) 305.