Subject Areas : Journal of Optoelectronical Nanostructures

Nasrin Miri ¹ (Physics Department, Payame Noor University, Tehran, Iran)
Abdolrasoul Gharaati ² (Physics Department, Payame Noor University, Tehran, Iran)

Received: 2017-09-04 Accepted : 2017-09-17 Published : 2017-08-01

Keywords:

References:

[1]    E. Yablonovitch, Inhibited spontaneous emission in solid-state physics and electronics, Phy. Rev. lett. 58 (1987) 2059.

[2]    S. John, Strong localization of photons in certain disordered dielectric superlattices. Phy. Rev. Lett. 58(23) (1987) 2486.

[3]    Lončar M, Vučković J, and Scherer A,. Methods for controlling positions of guided modes of photonic-crystal waveguides, J. Opt. Soc. Am. B 18  (2001)1362-1368.

[4]    Kurt H, Citrin D S,. Photonic-crystal heterostructure waveguides, IEEE J. Quant. Electron. 43 (2007) 78-84.

[5]    Zhou W D, Sabarinathan J, Bhattacharya P, Kochman B, Berg E, Yu P C, and Pang S,. Characteristics of a photonic bandgap single defect microcavity electroluminescent device, IEEE J. Quant. Electron. 37 (2001) 1153-1160.

[6]    Luo C, Johnson S G, Joannopoulos J., Pendry J,. All-angle negative refraction without negative effective index. Phys. Rev. B. 65(20) (2002) 201104.

[7]    Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, et al. Superprism phenomena in photonic crystals. Phys. Rev. B. 58(16) (1998) R10096.

[8]    Amet J, Baida F I, Burr G W , Bernal M P,. The superprism effect in lithium niobate photonic crystals for ultra-fast, ultra-compact electro-optical switching. PHOTONIC NANOSTRUCT. 6(1) (2008) 47-59.

[9]    Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, et al. Self-collimating phenomena in photonic crystals. Appl. Phys. Lett. 74(9) (1999) 1212-4.

[10] Kim T T, Lee S G, Park H Y, Kim J E, Kee C S,.  Asymmetric Mach-Zehnder filter based on self-collimation phenomenon in two-dimensional photonic crystals. Opt. Express. 18(6) (2010) 5384-9.

[11]  E. Centeno, D. Cassagne, Graded photonic crystals. Opt. Lett. 30 (2005) 2278-2280.

[12] E. Centeno, D. Cassagne, J. P.Albert, Mirage and superbending effect in two-dimensional graded photonic crystals. Phys. Rev. B. 73(23) (2006) 235119.

[13] Turduev M, Oner B, Giden I, and Kurt H,. Mode transformation using graded photonic crystals with axial asymmetry, J. Opt. Soc. Am. B 30 (2013) 1569-1579.

[14] Oner B B, Turduev M, Giden I H, and Kurt H,. Efficient mode converter design using asymmetric graded index photonic structures. Opt. lett. 38(2) (2013) 220-222.

[15]  Kurt H, Oner B B, Turduev M, and Giden I H,. Modified Maxwell fish-eye approach for efficient coupler design by graded photonic crystals. Opt. express. 20(20) (2012) 22018-22033.

[16] Yilmaz D, Giden I H, Turduev M, and Kurt H,. Design of a Wavelength selective medium by graded index photonic crystals. IEEE J. Quant. Electron. 49(5) (2013) 477-484.

[17] Le Roux X, Caer C, Marris-Morini D, Izard N, Vivien L, and Cassan E,. Wavelength demultiplexer based on a two-dimensional graded photonic crystal. IEEE PHOTONIC TECH L. 23(15) (2011) 1094-1096.

[18] Turduev M, Giden I H, and Kurt H,. Design of flat lens-like graded index medium by photonic crystals: Exploring both low and high frequency regimes. Opt. Commun. 339 (2015) 22-33.

[19] H. Kurt, D. S. Citrin, Graded index photonic crystals. Opt. Express. 15(1240-1253), 3, (2007).

[20] H. Kurt, E. Colak, O. Cakmak, H. Caglayan, E. Ozbay, The focusing effect of graded index photonic crystals. Appl. Phys. Lett, 93(171108), (2008).

[21] Wang, H.W., & Chen, L.W. A cylindrical optical black hole using graded index photonic crystals. J. Appl. Phys. 109(103104), 10, (2011).

[22] E. Akmansoy, E. Centeno, K. Vynck, D. Cassagne, & J.M. Lourtioz, Graded photonic crystals curve the flow of light: An experimental demonstration by the mirage effect. Appl. Phys. Lett. 92(133501), 13, (2008).

[23] A. O. Cakmak, E. Colak, H. Caglayan, , H. Kurt,  E. Ozbay, High efficiency of graded index photonic crystal as an input coupler. J. Appl. Phys. 105(103708), 10, (2009).

[24] M. Lu, B. K. Juluri, , S.C. S. Lin, B. Kiraly, T. Gao, T. J. Huang, Beam aperture modifier and beam deflector using gradient-index photonic crystals. J. Appl. Phys. 108(103505),  10, (2010).

[25] N. Yogesh, V. Subramanian, Spatial beam compression and effective beam injection using triangular gradient index profile photonic crystals. Prog. Electromagn. Res. 129 (2012) 51-67.

[26] M. Turduev, I. H. Giden, H. Kurt, Design of flat lens-like graded index medium by photonic crystals: Exploring both low and high frequency regimes. Opt. Commun. 339 (2015) 22-33. 

[27] B. Vasić, R. Gajić, K. Hingerl, Graded photonic crystals for implementation of gradient refractive index media. Journal of Nanophotonics, 5(051806-051806-051807) (2011) 1.

[28] A. Taflove, , S. C. Hagness, Computational Electrodynamics: ''The Finite-Difference Time-Domain Method'' , 2nd Ed Artech House Publishers, 2005.

[29] Sukhoivanov, Igor A., and Igor V. Guryev. Photonic crystals: physics and practical modeling. Vol. 152. Springer, 2009.

[30] Gomez-Reino C, Perez MV, Bao C. Gradient-index optics: fundamentals and applications. Springer Science & Business Media, 2012.

[31] Notomi, á., Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap. Phys. Rev. B, (2000). 62(16) 10696.

[32]   Aspnes, D. Local-field effects and effective-medium theory: A microscopic perspective. Am. J. Phys. (1982) 50(8).

[33]  Sihvola, A.H., Electromagnetic mixing formulas and applications, pp. 39-84, the Institution of Electrical Engineers, London, United Kingdom (1999).

[34]  Kirchner, A., K. Busch, and C. Soukoulis, Transport properties of random arrays of dielectric cylinders. Phys. Rev. B. 57(1) (1998)  277.

[35]  Halevi, P., A. Krokhin, and J. Arriaga, Photonic crystal optics and homogenization of 2D periodic composites. Phys. Rev. lett. 1999. 82(4) (1999) 719.