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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 28, Iss. 2 — Jan. 15, 2010
  • pp: 216–222

Two-Dimensional Metallic Photonic Crystal with Point Defect Analysis Using Modified Finite-Difference Frequency-Domain Method

Y. L. Li, Q. Z. Xue, and C. H. Du

Journal of Lightwave Technology, Vol. 28, Issue 2, pp. 216-222 (2010)

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We have derived a modified finite-difference frequency-domain (FDFD) algorithm for two-dimensional (2-D) metallic photonic crystal (MPC) analysis. Using this method, the numerical results for the transverse-electric (TE) and transverse-magnetic (TM) modes in square and triangular lattices are in excellent agreements with those from other method. Then the correspondence of the band gaps between a unit cell and a supercell is demonstrated. Furthermore, by comparing the field distributions of the defect modes in a point defected MPC and a point defected dielectric photonic crystal (DPC), it is found that the defect MPC has a higher degree of localization, which means that MPC is preponderant for resonator and waveguide applications in millimeter wave and sub-millimeter wave bands.

© 2010 IEEE

Y. L. Li, Q. Z. Xue, and C. H. Du, "Two-Dimensional Metallic Photonic Crystal with Point Defect Analysis Using Modified Finite-Difference Frequency-Domain Method," J. Lightwave Technol. 28, 216-222 (2010)

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  1. E. Yablonoviteh, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
  3. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
  4. F. Brechet, J. Marcou, D. Pagnoux, P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers, by the finite element method," Opt. Fiber Technol. 6, 181-191 (2000).
  5. A. Adibi, Y. Xu, R. K. Lee, A. Yariv, A. Scherer, "Design of photonic crystal optical waveguides with singlemodepropagation in the photonic bandgap," J. Lightw. Technol. 18, 1376-1378 (2000).
  6. M. A. Shapiro, W. J. Brown, I. Mastovsky, J. R. Sirigiri, R. J. Temkin, "17 GHz photonic bandgap cavity with improved input coupling," Phys. Rev., Special Topics: Accelerators and Beams 4, 042001(1)-042001(6) (2001).
  7. D. F. Sievenpiper, M. E. Sickmiller, E. Yablonovitch, "3D wire mesh photonic crystals," Phys. Rev. Lett. 76, 2480-2483 (1996).
  8. J. B. Pendry, A. J. Holden, W. J. Stewart, I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett. 76, 4773-4776 (1996).
  9. J. R. Sirigiri, K. E. Kreischer, J. Machuzak, I. Mastovsky, M. A. Shapiro, R. J. Temkin, "Photonic-band-gap resonator gyrotron," Phys. Rev. Lett. 86, 5628-5631 (2001).
  10. V. Kuzimiak, Maradudin, F. Pincemin, "Photonic band structures of two-dimensional systems containing metallic components," Phys. Rev. B 50, 16835-16844 (1994).
  11. M. Qiu, S. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. App. Phys. 87, 8268-8275 (2000).
  12. J. B. Pendry, A. Mackinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).
  13. M. Sigalas, C. M. Soukoulis, E. N. Economou, "Photonic band gaps and defects in two dimensions: Studies of the transmission coefficient," Phys. Rev. B 48, 14121-14126 (1993).
  14. Z. Zhu, T. Brown, "Full-vectorial finite-difference analysis of microstructured optical fibers," Opt. Exp. 10, 853-864 (2002).
  15. C. P. Yu, H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Exp. 12, 1397-1408 (2004).
  16. H. C. Chang, C. P. Yu, "Yee-mesh-based finite difference eigenmode solver with PML absorbing boundary conditions for optical waveguide and photonic crystal fibers," Opt. Exp. 12, 6165-6177 (2004).
  17. T. Ando, H. Nakayama, S. Numata, J. Yamauchi, H. Nakano, "Eigenmode analysis of optical waveguides by a yee-mesh-based imaginary-distance propagation method for an arbitrary dielectric interface," J. Lightw. Technol. 20, 1627-1634 (2002).
  18. S. Guo, F. Wu, S. Albin, "Photonic bandgap analysis using finite-difference frequency-domain method," Opt. Exp. 12, 1741-1746 (2004).
  19. E. I. Smirnova, C. Chen, M. A. Shapiro, J. R. Sirigiri, R. J. Temkin, "Simulation of photonic band gaps in metal rod lattices for microwave applications," J. App. Phys. 91, 960-968 (2002).

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