The Proposed Strategies to Achieve All-Angle, Polarization Insensitive and Broad Band Self- Collimation in 2D Square Lattice Photonic Crystals

Subject Areas : Majlesi Journal of Telecommunication Devices

Mina Noori ¹ , Mohammad Soroosh ² , Hamed Baghban ³

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Received: 2014-11-23 Accepted : 2014-12-03 Published : 2014-12-01

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References:

[1] S. E. D. N. Chigrin, C. M. S. Torres, and G. Tayeb, "Self-guiding in two- dimensional photonic crystals," Optics Express, vol. 11, pp. 1203-1211, 2003.

[2] M. I. R. E. Hamam, S. G. Johnson, J. D. Joannopoulos, M. Soljacic, , "Broadband super-collimation in a hybrid photonic crystal structure," Optics Express vol. 17, pp. 8109-8118, 2009.

[3] F. Shuai and W. Yi-Quan, "Light propagation properties of two-dimensional photonic crystal channel filters with elliptical micro-cavities," Chinese Physics B, vol. 20, p. 104207, 2011.

[4] S. S. D. W. Prather, A. Sharkawy, S. McBride, P. Zanzucchi, C. Chen, D. Pustai, S. Venkataraman, J.Murakowski, G. Schneider, "Dispersion engineering of photonic crystals," Proc. SPIE, vol. 5184, pp. 30- 40, 2003.

[5] D. Jovanovic, R. Gajic, and K. Hingerl, "Refraction and band isotropy in 2D square-like Archimedean photonic crystal lattices," Opt Express, vol. 16, pp. 4048-58, Mar 17, 2008.

[6] M. Notomi, "Theory of light propagation in strongly modulated photonic crystals:

Refractionlike behavior in the vicinity of the photonic band gap," PHYSICAL REVIEW B, vol. 62, pp. 10696- 10705, 2000.

[7] R. M. R. Gajic, F. Kuchar, and K. Hingerl, "All-angle left-handed negative refraction in Kagome and honeycomb lattice photonic crystals," Phys. Rev. B, vol. 73, pp. 165310-17, 2006.

[8] R. M. R. Gaji ć, F. Kuchar, Đ. Jovanović , K. Hingerl, "Negative refraction and left-handedness in 2D Archimedean lattice photonic crystals," Mater. Sci. Forum, vol. 555, pp. 83-88, 2007.

[9] M. M. L.J. Wu, T. Karle, T.F. Krauss, "Super-prism phenomena in planar photonic crystals," IEEE J. Quantum Electron, vol. 38, pp. 915-918, 2002.

[10] M. M. A. E. Akosman, H. Kurt, E. Ozbay, "Compact wavelength de-multiplexer design using slow light regime of photonic crystal waveguides," Optics Express, vol. 19, pp. 24129-24138, 2011.

[11] L. C. B. F. J. Lawrence, K. B. Dossou, C. M. de Sterke, "Antireflection coatings for two-dimensional photonic crystals using a rigorous impedance definition," Appl. Phys. Lett, vol. 93, p. 131111, 2008.

[12] K. X. Z. H. Wu, H. J. Yang, P. Jiang, X.J.He, "All-angle self-collimation in two- dimentional rhombic- lattice photonic crystals," vol. 14, pp. IOP publishing, journal of optics, 2012.

[13] M. B. d. l. E. J. Lugo, R. Doti, R. Nava, J. Tague˜na, R. A. del, J. Faubert, "Multiband negative refraction in one-dimensional photonic crystals," Optics Express, vol. 17, pp. 3042-3051, 2009.

[14] A. K. T. M. Shih, M. Dahelm, G. Petrich, M. Soljaˇci´c, E. Ippen, L. Kolodziejski, K. Hall, M. Kesler, "Supercollimation in photonic crystals composed of silicon rods," Appl. Phys. Lett, vol. 93, p. 131111, 2008.

[15] R. C. F. Shuai, W. W. Zhong, W. Y. Quan, "Controlling the self-collimation characteristics of a near-infrared two-dimensional metallic photonic crystal," Chin. Phys. B, vol. 21, p. 114212, 2012.

[16] H. W. L. Jiang, X. Li, "Polarization-insensitive and broad-angle self-collimation in a two-dimensional photonic crystal with rectangular air holes," Applied Optics, vol. 52, pp. 6676-6684, 2013.

[17] T. B. W. W. Y. Liang, C. P. Yin, J. W. Dong, F. C. Leng, and H. Z. Wang, "Super-broadband non-diffraction guiding modes in photonic crystals with elliptical rods," J. Phys. D: Appl. Phys, vol. 43, p. 075103, 2010.

[18] S. G. L. M.W. Kim, T.T. Kim, J.E. Kim, H. Y. Park, C.S. Kee, "Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals," Appl. Phys. Lett, vol. 90, pp. 1131211-3, 2007.

[19] M. M. L.J. Wu, T.F. Krauss, "Beam steering in planar-photonic crystals: from superprism to supercollimator," J. Lightwave Technol, vol. 21, pp. 561–566, 2003.

[20] T. K. H. Kosaka, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett, vol. 74, pp. 1212-1214, 1999.

[21] K. X. Q. Xu, H. Yang, "Optimize design super collimation in square lattice two-dimensional photonic crystals," Optik - International Journal for Light and Electron Optics, vol. 121, pp. 1573-1576, 2010.

[22] D. Gao, Z. Zhou, and D. S. Citrin, "Self-collimated waveguide bends and partial bandgap reflection of photonic crystals with parallelogram lattice," J Opt Soc Am A Opt Image Sci Vis, vol. 25, pp. 791-5, Mar 2008.

[23] C. C. D. W. Prather, S. Shi, B. Miao, D. M. Pustai, S. Venkataraman, A. S. Sharkawy, G. J. Schneider, and J. A. Murakowski, "Ultralow-loss photonic crystal waveguides based on the self-collimation effect," Photonic Crystal Materials and Devices II, SPIE, vol. 5360, p. 175, 2004.

[24] D. S. G. J. Hou, H. M. Wu, and Z. P. Zhou, "Polarization insensitive self-collimation waveguide in square lattice annular photonic crystals," Optics Communications, vol. 282, pp. 3172-3176, 2009.

[25] X. J. C. Y. Xu, S. Lan, Q. Guo, W. Hu, L. J. Wu, "The all-angle self-collimating phenomenon in photonic crystals with rectangular symmetry," J. Opt. A, vol. 10, p. 085201, 2008.

[26] A. F. Matthews, "Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies," Optics Communications, vol. 282, pp. 1789-1792, 2009.

[27] Y. Z. Y. Zhang, and B. Li, "Optical switches and logic gates based on self- collimated beams in two-dimensional photonic crystals," Optics Express, vol. 15, pp. 9287-9292, 2007.

[28] Z. W. G. Zheng, D. Zhao, W. Zhang, Y. Liu, "Wavelength- division- multiplexing system with photonic crystal self- collimation and co- directional coupling effect," Optik - International Journal for Light and Electron Optics, vol. 125, pp. 2638- 2641, 2014.

[29] H. W. Y. Wang, Q. Xue, W. Zheng, "Photonic crystal self- collimation sensor," Optics Express, vol. 20, pp. 12111-12118, 2012.

[30] H. L. X.-Y. Chen, Y.-S. Qiu, Y.-F. Wang, and B. Ni, "Tunable Photonic Crystal Mach-Zehnder Interferometer Based on Self-collimation Effect," Chinese Physics Letters, vol. 25, pp. 4307-4310, 2008.

[31] W. Zhang, J. Liu, W.-P. Huang, and W. Zhao, "Self-collimating photonic-crystal wave plates," Optics Letters, vol. 34, pp. 2676-2678, 2009/09/01 2009.

[32] R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, "Subdiffractive all-photonic crystal Fabry-Perot resonators," Optics Letters, vol. 33, pp. 2695-2697, 2008.

[33] S. Xiao-Peng, H. Kui, Y. Fang, L. Hai-Peng, W. Zi-Yu, and Z. Qi, "New Configuration of Ring Resonator in Photonic Crystal Based on Self-Collimation," Chinese Physics Letters, vol. 25, p. 4288, 2008.

[34] A. P. K. X. S. Christina, "Design of optical logic gates using self- collimated beams in 2D photonic crystal," Photonic Sensors, vol. 2, pp. 173- 179, 2012.

[35] Y. F. H. W. P. Lin, H. L. Kuo, , "Design of optical nor logic gates using two dimension photonic crystals," American Journal of Modern Physics, vol. 2, pp. 144- 147, 2012.

[36] T. P. White, C. M. de Sterke, R. C. McPhedran, and L. C. Botten, "Highly efficient wide-angle transmission into uniform rod-type photonic crystals," Applied Physics Letters, vol. 87, pp. -, 2005.

[37] J. J. P. R. C. Rumpf, "Optimization of planar self-collimating photonic crystals," J. Opt. Soc. Am. A, vol. 30, pp. 1297-1304, 2013.

[38] S. G. L. J. M. Park, H.R. Park, M. H. Lee, "self- collimating photonic crystal antireflection structure for both TE and TM polarizations," Optics Express, vol. 18, pp. 13083-13093 2010.

[39] T. J. S. Y. C. Chuang, "Complex rhombus lattice photonic crystals for broadband all-angle self-collimation," J. Opt, vol. 12, p. 035102, 2010.

[40] Y. C. H. Zhang, L. Chen, H. Zhu, L. Qian, D. Fan, "Full-angle collimations of two-dimensionalphotonic crystals with ultrahigh-indexbackground materials," IOP publishing, Journal of Optics, vol. 12, pp. 045103-045108, 2010.

[41] X. J. C. Y. Xu, S.Lan, Q. F. Dai, Q. Guo, L. J. Wu, "Polarization-independent self-collimation based on pill-void photonic crystals with square symmetry," optics Express, vol. 17, pp. 4903-12, 2009.

[42] K. H. X.P. Shen, Y.F. Shen, H.P. Li, Z.W. Xiao, J. Zheng, "Self-collimation of unpolarized electromagnetic waves in 2D photonic crystals," Acta Phys. Sin, vol. 55, pp. 2760–2764, 2006.

[43] B. U. A. Cicek, "Polarization-independent waveguiding with annular photonic crystal," Optics Express, vol. 17, pp. 18381-18386, 2009.

[44] L. A. D. V. Zabelin, N. Le Thomas, R. Houdr´e, M. V. Kotlyar, L. O’Faolin, T. F. Krauss, , "Self- collimating photonic crystal polarization beam splitter," Opt. Lett vol. 32, pp. 530-532, 2007.

[45] I. H. G. M. Turduev, H. Kurt, "Modified annular photonic crystals with enhanced dispersion relations: polarization insensitive self- collimation and nanophotonic wire waveguide designs," J. Opt. Soc. Am. B, vol. 29, pp. 1589- 1598, 2012.

[46] H. W. L. Y. Jiang, X. Y. Li, "Study on the polarization-insensitive self-collimation behavior in two-dimensional all-solid photonic crystals," J Opt. Springer, vol. 43, pp. 108-116, 2014.

[47] S. G. J. Chiyan Luo, J. D. Joannopoulos, J. B. Pendry, "All-angle negative refraction without negative effective index," PHYSICAL REVIEW B, vol. 65, pp. 201104- 4, 2002.

[48] M. L. J. Witzens, and A. Scherer, "Self-collimation in planar photonic crystals," Ieee Journal Of Selected Topics In Quantum Electronics, vol. 8, pp. 1246-1257, 2002.

[49] Y. O. Y. Ogawa, Y. Iida, "Study on Self-Collimated Light-Focusing Device Using the 2-D Photonic Crystal With a Parallelogram Lattice," J. Lightwave Technol vol. 23, p. 4374, 2005.

[50] H. W. L. Jiang, X. Li, "Polarization- insensitive and broad- angle self- collimation in a two- dimentional photonic crystal with rectangular air holes," Applied optics, vol. 52, pp. 6676-6684, 2013.

[51] F. F. M. Ebnali-Heidari, A. Ebnali-Heidari, "self- collimation effect in two- dimensional photonic crystal based on optofluidic technology," Progress In Electromagnetics Research M, vol. 25, pp. 255–268, 2012.