Design and Analysis of Self-Collimation-Based Photonic Crystal Beam Splitter

Article Preview

Abstract:

We present a self-collimation-based beam splitter in a two-dimensional photonic crystal (2D-PC) by introducing defects near the termination. From the equi-frequency contour (EFC) calculations and the finite-difference time-domain (FDTD) simulations, we show that the defects can give rise to the splitting of self-collimated beams in 2D-PCs and the directivity of the deflected beam can be improved by the defect along the PC surface. In order to get different kinds of beam splitters, including the Y-shaped, one-to-three, one-to-four structures, and so on, we only need to modify the structure of the output surface (along X-M direction). The proposed splitter may have practical applications in integrated photonic circuits.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 887-888)

Pages:

417-421

Citation:

Online since:

February 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] E. Yablonovitch, Inhibited spontaneous emission in solid-state physics and electronics, Phys. Rev. Lett. 58 (1987) 2059-(2062).

DOI: 10.1103/physrevlett.58.2059

Google Scholar

[2] S. John, Strong localization of photons in certain disordered dielectric superlattices, Phys. Rev. Lett. 58 (1987) 2486-2489.

DOI: 10.1103/physrevlett.58.2486

Google Scholar

[3] Y. Akahane, T. Asano, B. S. Song, S. Noda, High-Q photonic nanocavity in a two-dimensional photonic crystal, Nature 425 (2003) 944-947.

DOI: 10.1038/nature02063

Google Scholar

[4] A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, Hightransmission through sharp bends in photonic crystal waveguides, Phys. Rev. Lett. 77 (1996) 3787-3790.

DOI: 10.1103/physrevlett.77.3787

Google Scholar

[5] Y. W. Li, J. Y Pan, J. Zeng, J. W. Dong, H. Z. Wang, Band engineering and periodic defectsdoping by lattices compounding, Opt. Express 13 (2005) 8526-8531.

DOI: 10.1364/opex.13.008526

Google Scholar

[6] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami, Self-collimating phenomena in photonic crystals, Appl. Phys. Lett. 74 (1999) 1212-1214.

DOI: 10.1063/1.123502

Google Scholar

[7] H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, S. Kawakami, Superprism phenomena in photonic crystals, Phys. Rev. B 58 (1998) R10096-R10098.

DOI: 10.1103/physrevb.58.r10096

Google Scholar

[8] J. Zhang, D. Y. Zhao, C. H. Zhou, X. Y. Jiang, Polarization beam splitter based on self-collimation effect in two-dimensional photonicscrystal, Chin. Phys. Lett. 24 (2007) 1961-(1964).

Google Scholar

[9] L. Wu, M. Mazilu, J.F. Gallet, T.F. Krauss, Square lattice photonic crystal collimator, Photon. Nanostruct. Fundam. Appl. 1 (2003) 31-36.

DOI: 10.1016/s1569-4410(03)00004-x

Google Scholar

[10] J. Witzens, M. Loncar, A. Scherer, Self-collimation in planar photonic crystals, IEEE J. Sel. Top. Quantum Electron. 8 (2002) 1246-1257.

DOI: 10.1109/jstqe.2002.806693

Google Scholar

[11] D.W. Prather, S.Y. Shi, D.W. Pustai, C.H. Chen, S. Venkataraman, A. Sharkawy, G. Schneider, J. Murakowski, Dispersion-based optical routing in photonic crystals, Opt. Lett. 29 (2004) 50-52.

DOI: 10.1364/ol.29.000050

Google Scholar

[12] Z.F. Li, H.B. Chen, Z.T. Song, F.H. Yang, S.L. Feng, Finite-width waveguide and waveguide intersections for self-collimated beams in photonic crystals Appl. Phys. Lett. 85 (2004) 4834-4836.

DOI: 10.1063/1.1828577

Google Scholar

[13] C.H. Chen, A. Sharkawy, D.M. Pustai, S.Y. Shi, D.W. Prather, Optimizing bending efficiency of self-collimated beams in non-channel planar photonic crystal waveguides, Opt. Express, 11 (2003) 3153-3159.

DOI: 10.1364/oe.11.003153

Google Scholar

[14] X. Yu, S. Fan, Bends and splitters for self-collimated beams in photonic crystals, Appl. Phys. Lett. 83 (2003) 3251-3253.

DOI: 10.1063/1.1621736

Google Scholar

[15] X.P. Shen, K. Han, Y.F. Shen, H.P. Li, Y.X. Wu, G. Tang, Dispersion-based all photonic crystals polarization beam splitter, Phys. Lett. A 369 (2007) 524-527.

DOI: 10.1016/j.physleta.2007.05.035

Google Scholar

[16] D.M. Pustai, S.Y. Shi, C.H. Chen, A. Sharkawy, D.W. Prather, Analysis of splitters for self-collimated beams in planar photonic crystals, Opt. Express 12 (2004) 1823-1831.

DOI: 10.1364/opex.12.001823

Google Scholar

[17] Y. T. Fang, T. G. Shen, Multi-imaging by photonic crystal slab using negative refraction, Chin. Phys. Lett. 22 (2005) 949-951.

DOI: 10.1088/0256-307x/22/4/047

Google Scholar

[18] C.C. Chen, T. Pertsch, R. Iliew, F. Lederer, A. Tünnermann, Directional emission from photonic crystal waveguides, Opt. Express 14 (2006) 2423-2428.

DOI: 10.1364/oe.14.002423

Google Scholar

[19] S. G. Johnson, J. D. Joannopoulos, Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis, Opt. Express 8 (2001) 173-190.

DOI: 10.1364/oe.8.000173

Google Scholar

[20] Y. Xu, X.J. Chen, S. Lan, Q. Guo,W. Hu, L.J. Wu, The all-angle self-collimating phenomenon inphotonic crystals with rectangular symmetry, J. Opt. A: Pure Appl. Opt. 10 (2008) 085201.

DOI: 10.1088/1464-4258/10/8/085201

Google Scholar

[21] W. Y. Liang, J. W. Dong, H. Z. Wang, Directional emitter and beam splitters based on self-collimation effect, Opt. Express 15 (2007) 1234-1239.

DOI: 10.1364/oe.15.001234

Google Scholar