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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 9 — May. 5, 2003
  • pp: 1080–1089

Numerical techniques for excitation and analysis of defect modes in photonic crystals

Shangping Guo and Sacharia Albin  »View Author Affiliations

Optics Express, Vol. 11, Issue 9, pp. 1080-1089 (2003)

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Two numerical techniques for analysis of defect modes in photonic crystals are presented. Based on the finite-difference time-domain method (FDTD), we use plane wave incidences and point sources for excitation and analysis. Using a total-field/scattered-field scheme, an ideal plane wave incident at different angles is implemented; defect modes are selectively excited and mode symmetries are probed. All modes can be excited by an incident plane wave along a non-symmetric direction of the crystal. Degenerate modes can also be differentiated using this method. A proper arrangement of point sources with positive and negative amplitudes in the cavity flexibly excites any chosen modes. Numerical simulations have verified these claims. Evolution of each defect mode is studied using spectral filtering. The quality factor of the defect mode is estimated based on the field decay. The far-field patterns are calculated and the Q values are shown to affect strongly the sharpness of these patterns. Animations of the near-fields of the defect modes are presented to give an intuitive image of their oscillating features.

© 2003 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(350.3950) Other areas of optics : Micro-optics

ToC Category:
Research Papers

Original Manuscript: March 26, 2003
Revised Manuscript: April 27, 2003
Published: May 5, 2003

Shangping Guo and Sacharia Albin, "Numerical techniques for excitation and analysis of defect modes in photonic crystals," Opt. Express 11, 1080-1089 (2003)

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  1. P R Villeneuve et al, �??Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency,�?? Phy. Rev. B 54, 7837 (1996) [CrossRef]
  2. Shanhui Fan et al, �??Channel drop filters in photonic crystals,�?? Opt. Express 3, 4 (1998), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-3-1-4">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-3-1-4</a> [CrossRef]
  3. K. M. Ho et al, �??Existence of a photonic gap in periodic dielectric structures,�?? Phy. Rev. Lett. 65, 3152 (1990) [CrossRef]
  4. Min Qiu et al, �??Numerical method for computing defect modes in two-dimensional photonic crystals with dielectric or metallic inclusions,�?? Phy. Rev. B 61, 12871 (2000) [CrossRef]
  5. Kazuaki Sakoda et al, �??Optical response of three-dimensional photonic lattices: solution of inhomgeneous Maxwell�??s equations and their applications,�?? Phy. Rev. B 54, 5732 (1996) [CrossRef]
  6. Vladimir Kuzmiak et al, �??Localized defect modes in a two-dimensional triangular photonic crystal,�?? Phy. Rev. B 57, 15242 (1998) [CrossRef]
  7. Kazuaki Sakoda et al, �??Numerical method for localized defect modes in photonic lattices,�?? Phy. Rev. B 56, 4830 (1997) [CrossRef]
  8. Allen Taflove, Computational electrodynamics, the finite difference time domain method (Artech House, 1995)
  9. Yee, K. S, �??Numerical solution of initial boundary value problems involving Maxwell�??s equations in isotropic media,�?? IEEE Trans. Antenna and Propagation 14, 302 (1966) [CrossRef]
  10. J. P. Berenger, �??A perfectly matched layer for the absorption of electromagnetic waves,�?? J. Computational Phys. 185, (1994) [CrossRef]
  11. S. Guo and S. Albin, �??Simple plane wave implementation for photonic crystal calculations,�?? Opt. Express 11, 167 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-2-167">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-2-167<a/> [CrossRef] [PubMed]

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