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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 17 — Aug. 18, 2008
  • pp: 13090–13103

Controlling uncoupled resonances in photonic crystals through breaking the mirror symmetry

Onur Kilic, Michel Digonnet, Gordon Kino, and Olav Solgaard  »View Author Affiliations

Optics Express, Vol. 16, Issue 17, pp. 13090-13103 (2008)

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We show that modes in a photonic crystal slab that are uncoupled to outside radiation in a symmetric structure can be excited by breaking the mirror symmetry through introducing a protrusion on the side of the photonic crystal holes. We show that coupling to these resonances can be controlled by the strength of this asymmetry, and that it is also possible to choose among modes to couple to, through the shape of the asymmetry introduced. We provide simple theoretical arguments that explain the effect, and present eigenmode simulations and time-domain simulations. We confirm this predicted behavior with measurements on a photonic crystal with a broken mirror symmetry that exhibits an additional sharp resonant feature with a linewidth of 0.5 nm, in agreement with both calculated and simulated predictions.

© 2008 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(230.5440) Optical devices : Polarization-selective devices
(230.5750) Optical devices : Resonators
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: May 20, 2008
Revised Manuscript: July 16, 2008
Manuscript Accepted: July 22, 2008
Published: August 12, 2008

Onur Kilic, Michel Digonnet, Gordon Kino, and Olav Solgaard, "Controlling uncoupled resonances in photonic crystals through breaking the mirror symmetry," Opt. Express 16, 13090-13103 (2008)

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  1. V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999). [CrossRef]
  2. S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002). [CrossRef]
  3. O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004). [CrossRef] [PubMed]
  4. K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006). [CrossRef]
  5. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992). [CrossRef] [PubMed]
  6. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993). [CrossRef]
  7. M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002). [CrossRef]
  8. K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982 (1995). [CrossRef]
  9. K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996). [CrossRef]
  10. V. Karathanos, "Inactive frequency bands in photonic crystals," J. Mod. Opt. 45, 1751 (1998). [CrossRef]
  11. V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000). [CrossRef]
  12. P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000). [CrossRef]
  13. T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001). [CrossRef]
  14. K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004). [CrossRef]
  15. A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005). [CrossRef]
  16. O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003). [CrossRef]
  17. K. Srinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670 (2002). [PubMed]
  18. T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001). [CrossRef]
  19. R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001). [CrossRef]
  20. R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994). [CrossRef]
  21. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001). [CrossRef] [PubMed]
  22. W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003). [CrossRef]
  23. O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007). [CrossRef]
  24. H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003). [CrossRef]

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