Abstract
Splitting of light waves by a two-dimensional photonic crystal associated with source size and dispersion relation of photonic crystal at a wavelength of 1,550 nm without disturbing periodicity is numerically demonstrated via finite-difference time-domain simulations. Split branches in either polarization state make plus or minus 45° with the [11] direction and propagate in a self-collimated manner with equal amplitude and phase. Sixty-four percent of total transmittance is attained provided that the waves are coupled and collected through appropriate planar waveguides. Alternatively, approximately 50 % total transmittance for both polarizations can be obtained by application of an anti-reflection coating layer at the input face. Polarization-independent beam splitting occurs in a narrow range around the target wavelength, while its transverse-magnetically polarized sub-harmonic can also be split. The photonic crystal can also operate as a polarizing splitter at oblique incidence.
Similar content being viewed by others
References
D. Zhao, J. Zhang, P. Yao, X. Jiang, X. Chen, Photonic crystal Mach-Zehnder interferometer based on self-collimation. Appl. Phys. Lett. 90(23), 231114 (2007)
D.W. Prather, S. Shi, J. Murakowski, G.J. Schneider, A. Sharkawy, C. Chen, B. Miao, R. Martin, Self-collimation in photonic crystal structures: a new paradigm for applications and device development. J. Phys. D: Appl. Phys. 40(9), 2635–2651 (2007)
J. Yonekura, M. Ikeda, T. Baba, Analysis of finite 2D photonic crystals of columns and lightwave devices using the scattering matrix method. J. Lightwave Technol. 17(8), 1500–1508 (1999)
R.W. Ziolkowski, M. Tanaka, FDTD analysis of PBG waveguides. power splitters and switches. Opt. Quant. Electron. 31(9), 843–855 (1999)
T. Søndergaard, K.H. Dridi, Energy flow in photonic crystal waveguides. Phys. Rev. B 61, 15688–15696 (2000)
D. Yang, H. Tian, Y. Ji, High-bandwidth and low-loss photonic crystal power-splitter with parallel output based on the integration of Y-junction and waveguide bends. Optics Commun. 285(18), 3752–3757 (2012)
M. Bayindir, B. Temelkuran, E. Ozbay, Photonic-crystal-based beam splitters. Appl. Phys. Lett. 77(24), 3902 (2000)
I. Park, H.-S. Lee, H.-J. Kim, K.-M. Moon, S.-G. Lee, O. Beom-Hoan, S.-G. Park, E.-H. Lee, Photonic crystal power-splitter based on directional coupling. Opt. Express 12(15), 3599–3604 (2004)
D.C. Tee, T. Kambayashi, S.R. Sandoghchi, N. Tamchek, F. Rafiq, M. Adikan, Efficient, wide angle, structure tuned 1x3 photonic crystal power splitter at 1550 nm for triple play applications. J. Lightwave Technol. 30(17), 2818–2823 (2012)
Z.-H. Chen, Z.-Y. Yu, Y.-M. Liu, P.-F. Lu, Y. Fu, Multiple beam splitting to free space from a V groove in a photonic crystal waveguide. Appl. Phys. B Lasers Optics 102(4), 857–861 (2010)
X. Yu, S. Fan, Bends and splitters for self-collimated beams in photonic crystals. Appl. Phys. Lett. 83(16), 3251 (2003)
Q.-Y. Zhu, Y.-Q. Fu, D.-Q. Hu, Z.-M. Zhang, A novel optical beam splitter based on photonic crystal with hybrid lattices. Chin. Phys. B 21(6), 064220 (2012)
W.Y. Liang, J.W. Dong, H.Z. Wang, Directional emitter and beam splitter based on self-collimation effect. Opt. Express 15(3), 1234 (2007)
Y. Xu, X.-J. Chen, S. Lan, Q. Guo, W. Hu, L.-J. Wu, The all-angle self-collimating phenomenon in photonic crystals with rectangular symmetry. J. Opt. A Pure Appl. Opt. 10(8), 085201 (2008)
H. Kurt, M. Turduev, I.H. Giden, Crescent shaped dielectric periodic structure for light manipulation. Opt. Express 20(7), 7184–7194 (2012)
V. Zabelin, L.A. Dunbar, N. Le Thomas, R. Houdré, M.V. Kotlyar, L. O’Faolain, T.F. Krauss, Self-collimating photonic crystal polarization beam splitter. Opt. Lett. 32(5), 530–532 (2007)
E. Schonbrun, Q. Wu, W. Park, T. Yamashita, C.J. Summers, Polarization beam splitter based on a photonic crystal heterostructure. Opt. Lett. 31(21), 3104–3106 (2006)
X. Shen, K. Han, X. Yang, H. Li, Polarization-independent self-collimating bends and beam splitters in photonic crystals. Chin Opt. Lett. 5(11), 662–664 (2007)
M. Turduev, I.H. Giden, H. Kurt, Modified annular photonic crystals with enhanced dispersion relations: polarization insensitive self-collimation and nanophotonic wire waveguide designs. J. Opt. Soc. Am. B 29(7), 1589–1598 (2012)
G.Y. Dong, J. Zhou, X.L. Yang, L.Z. Cai, Dual-negative refraction in photonic crystals with hexagonal lattices. Opt. Exp. 19(13), 12119–12124 (2011)
Y. Shen, J. Zhou (2011) Positive-negative birefraction phenomenon for TM polarization in annular photonic crystal. Chin. Opt. Lett. 9(2), 1–4
G.Y. Dong, J. Zhou, X.L. Yang, X. Meng, Multi-refraction with same polarization state in two dimensional triangular photonic crystals. Prog. Electromagn. Res. 128, 91–103 (2012)
I. De Leon, F. Roux, Fourier analysis of reflection and refraction in two-dimensional photonic crystals. Phys. Rev. B 71(23), 235105 (2005)
A. Kim, K.B. Chung, J.W. Wu, Control of self-collimated Bloch waves by partially flat equifrequency contours in photonic crystals. Appl. Phys. Lett. 89(25), 251120 (2006)
L. Xia, X. Wei, J. Yurong, Effect of source parameters on beam self-collimation in 2d photonic crystal. In Optical Fiber Communication and Optoelectronics Conference, 2007 Asia, pp. 469–471 (2007)
A.F. Matthews, S.K. Morrison, Y.S. Kivshar, Self-collimation and beam splitting in low-index photonic crystals. Opt. Commun. 279(2), 313–319 (2007)
A.F. Matthews, Experimental demonstration of self-collimation beaming and splitting in photonic crystals at microwave frequencies. Opt. Commun. 282(9), 1789–1792 (2009)
S.-G. Lee, J.-S. Choi, J.-E. Kim, H.Y. Park, Reflection minimization at two-dimensional photonic crystal interfaces. Opt. Express 16(6), 4270–4277 (2008)
T.-T. Kim, S.-G. Lee, M.-W. Kim, H.Y. Park, J.-E. Kim, Experimental demonstration of reflection minimization at two-dimensional photonic crystal interfaces via antireflection structures. Appl. Phys. Lett. 95(1), 011119 (2009)
Y. Wang, K. Deng, S. Xu, C. Qiu, H. Yang, Z. Liu, Applications of antireflection coatings in sonic crystal-based acoustic devices. Phys. Lett. A 375(10), 1348–1351 (2011)
J.-M. Park, S.-G. Lee, H.-R. Park, M.-H. Lee, Self-collimating photonic crystal antireflection structure for both TE and TM polarizations. Opt. Express 18(12), 13083 (2010)
K.M. Ho, C.T. Chan, C.M. Soukoulis, Existence of a photonic gap in periodic dielectric structures. Phys. Rev. Lett. 65(25), 3152–3155 (1990)
K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propag. 14(3), 302–307 (1966)
R. Courant, K. Friedrichs, H. Lewy, On the partial difference equations of mathematical physics. IBM J. Res. Dev. 11(2), 215–234 (1967)
J.-P. Berrenger, A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114(2), 185–200 (1994)
A. Cicek, O.A. Kaya, B. Ulug, Acoustic beam splitting in a sonic crystal around a directional band gap. Chin. Phys. B (2013) submitted
X.-F. Li, X. Ni, L. Feng, M.-H. Lu, C. He, Y.-F. Chen, Tunable unidirectional sound propagation through a sonic-crystal-based acoustic diode. Phys. Rev. Lett. 106(8), 084301 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yucel, M.B., Cicek, A. & Ulug, B. Polarization-independent beam splitting by a photonic crystal right prism. Appl. Phys. B 113, 107–114 (2013). https://doi.org/10.1007/s00340-013-5445-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-013-5445-y