Journal of the Optical Society of Korea

  • 제12권1호
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  • Pages.13-18
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  • 2008
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  • 1226-4776(pISSN)
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  • 2093-6885(eISSN)
한국광학회 (Optical Society of Korea)
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Effects of Surface Termination on Directional Emission from Photonic Crystal Waveguides

  • Chung, K.B. (School of Electronic and Electrical Engineering, Hongik University)
  • 투고 : 2008.02.26
  • 발행 : 2008.03.25
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초록

We numerically investigate by the finite-difference time-domain method the effects of surface termination on directional emission exiting a photonic crystal waveguide. The directed power and far-field beam profile for the original proposal [E. Moreno et al., Phys. Rev. B 69, 121402 (2004)] and its enhancement [S. K. Morrison et al., Appl. Phys. Lett. 86, 081110 (2005)] are computed for different values of some important parameters. We find another surface termination condition with a positive surface displacement in the structure of the original proposal which has a negative surface displacement. Our surface termination is more effective than the original structure, and nearly as effective as the termination for the enhancement, for directional emission. Besides, our termination is simpler than that for the enhancement. We confirm the effectiveness of directional emission from our termination in its far-field beam profile, radiation intensity distribution, and additionally the wave-vector space representation by the Fourier analysis.

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참고문헌

  1. H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martin-Moreno, F. J. Garcia-Vidal, and T. W. Ebbesen, “Beaming light from a subwavelength aperture,”Science, vol. 297, no. 5582, pp. 820-822, 2002 https://doi.org/10.1126/science.1071895
  2. L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, “Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations,” Phys. Rev. Lett., vol. 90, no. 16, pp. 167401-1167401-4, 2003 https://doi.org/10.1103/PhysRevLett.90.167401
  3. E. Moreno, F. J. Garcia-Vidal, and L. Martin-Moreno, “Enhanced transmission and beaming of light via photonic crystal surface modes,” Phys. Rev. B, vol. 69, no. 12, pp. 121402-1-121402-4, 2004 https://doi.org/10.1103/PhysRevB.69.121402
  4. P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Muler, R. B. Wehrspohn, U. Gosele, and V. Sandoghdar “Highly directional emission from photonic crystal waveguides of subwavelength width,” Phys. Rev. Lett., vol. 92, no. 11, pp. 113903-1-113903-4, 2004 https://doi.org/10.1103/PhysRevLett.92.113903
  5. E. Moreno, L. Martin-Moreno, and F. J. Garcia-Vidal, “Efficient coupling of light into and out of a photonic crystal waveguide via surface modes,” Photonics Nanostruc. - Fundamen. Appl., vol. 2, no. 2, pp. 97-102, 2004 https://doi.org/10.1016/j.photonics.2004.07.009
  6. I. Bulu, H. Caglayan, and E. Ozbay, “Beaming of light and enhanced transmission via surface modes of photonic crystals,” Opt. Lett., vol. 30, no. 22, pp. 3078-3080, 2005 https://doi.org/10.1364/OL.30.003078
  7. S. K. Morrison and Y. S. Kivshar, “Engineering of directional emission form photonic-crystal waveguides,” Appl. Phys. Lett., vol. 86, no. 8, pp. 081110-1-081110-3, 2005 https://doi.org/10.1063/1.1870133
  8. S. K. Morrison and Y. S. Kivshar, “Beaming effect and directional emission from photonic-crystal waveguides,” Proc. SPIE, vol. 5733, pp. 104-113, 2005 https://doi.org/10.1117/12.588484
  9. W. Smigaj, “Model of light collimation by photonic crystal surface modes,” Phys. Rev. B, vol. 75, no. 20, pp. 205430-1-205430-8, 2007 https://doi.org/10.1103/PhysRevB.75.205430
  10. K. B. Chung, “Properties of surface modes used for directional emission from photonic crystal waveguides,” J. Opt. Soc. Korea, in press, 2008 https://doi.org/10.3807/JOSK.2008.12.1.007
  11. C.-C. Chen, T. Pertcsh, R. Iliew, F. Lederer, and A. Tunnermann, “Directional emission from photonic crystal waveguides,” Opt. Express, vol. 14, no. 6, pp. 2423- 2428, 2006 https://doi.org/10.1364/OE.14.002423
  12. K. Guven and E. Ozbay, “Directivity enhancement and deflection of the beam emitted from a photonic crystal waveguide via defect coupling,” Opt. Express, vol. 15, no. 23, pp. 14973-14978, 2007 https://doi.org/10.1364/OE.15.014973
  13. D. Tang, L. Chen, and W. Ding, “Efficient beaming from photonic crystal waveguides via self-collimation effect,” Appl. Phys. Lett., vol. 89, no. 13, pp. 131120-1-131120-3, 2006 https://doi.org/10.1063/1.2354428
  14. W. Y. Liang, J. W. Dong, and H. Z. Wang, “Directional emitter and beam splitter based on self-collimation effect,” Opt. Express, vol. 15, no. 3, pp. 1234-1239, 2007 https://doi.org/10.1364/OE.15.001234
  15. Z.-H. Zhu, W.-M. Ye, J.-R. Ji, X.-D. Yuan, and C. Zen, “Enhanced transmission and directional emission via coupled-resonator optical waveguides,” Appl. Phys. B, vol. 86, pp. 327-331, 2007 https://doi.org/10.1007/s00340-006-2457-x
  16. Z. Li, K. Aydin, and E. Ozbay, “Highly directional emission from photonic crystals with a wide bandwidth,” Appl. Phys. Lett., vol. 91, no. 12, pp. 121105-1-121105-3, 2007 https://doi.org/10.1063/1.2786590
  17. Y. Zhang, Y. Zhang, and B. Li, “Highly-efficient directional emission from photonic crystal waveguides for coupling of freely propagated terahertz waves into Si slab waveguides,” Opt. Express, vol. 15, no. 15, pp. 9281-9286, 2007 https://doi.org/10.1364/OE.15.009281
  18. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propag., vol. AP-14, no. 3, pp. 32-307, 1966
  19. J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys., vol. 114, no. 2, pp. 185-200, 1994 https://doi.org/10.1006/jcph.1994.1159
  20. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Third Edition, Artech House, Boston, U.S.A., 2005)
  21. I. D. Leon and F. S. Roux, “Fourier analysis of reflection and refraction in two-dimensional photonic crystals,” Phys. Rev. B., vol. 71, no. 23, pp. 235105-1-235105-10, 2005 https://doi.org/10.1103/PhysRevB.71.235105
  22. F. S. Roux and I. D. Leon, “Planar photonic crystal gradient index lens, simulated with a finite difference time domain method,” Phys. Rev. B., vol. 74, no. 11, pp. 113103-1-113103-4, 2006 https://doi.org/10.1103/PhysRevB.74.113103
  23. A. Kim, K. B. Chung, and J.W.Wu, “Control of selfcollimated Bloch waves by partially flat equifrequency contours in photonic crystals,” Appl. Phys. Lett., vol. 89, no. 25, pp. 251120-1-251120-3, 2006 https://doi.org/10.1063/1.2423237

피인용 문헌

  1. Directional Emission from Photonic Crystal Waveguide Output by Terminating with CROW and Employing the PSO Algorithm vol.15, pp.2, 2011, https://doi.org/10.3807/JOSK.2011.15.2.187
  2. Analysis of directional emission via surface modes on photonic crystals vol.281, pp.21, 2008, https://doi.org/10.1016/j.optcom.2008.07.065
  3. Fabrication of Large Area Photonic Crystals with Periodic Defects by One-Step Holographic Lithography vol.19, pp.1, 2015, https://doi.org/10.3807/JOSK.2015.19.1.063
  4. Duality of Photonic Crystal Radiative Structures and Antenna Arrays vol.14, pp.4, 2010, https://doi.org/10.3807/JOSK.2010.14.4.438