OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6335–6346

Guided resonances in photonic quasicrystals

Armando Ricciardi, Ilaria Gallina, Stefania Campopiano, Giuseppe Castaldi, Marco Pisco, Vincenzo Galdi, and Andrea Cusano  »View Author Affiliations

Optics Express, Vol. 17, Issue 8, pp. 6335-6346 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (692 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this paper, we report on the first evidence of guided resonances (GRs) in aperiodically-ordered photonic crystals, tied to the concept of “quasicrystals” in solid-state physics. Via a full-wave numerical study of the transmittance response and the modal structure of a photonic quasicrystal (PQC) slab based on a representative aperiodic geometry (Ammann-Beenker octagonal tiling), we demonstrate the possibility of exciting GR modes, and highlight similarities and differences with the periodic case. In particular, we show that, as for the periodic case, GRs arise from the coupling of the incident plane-wave with degenerate modes of the PQC slab that exhibit a matching symmetry in the spatial distribution, and can still be parameterized via a Fano-like model. Besides the phenomenological implications, our results may provide new degrees of freedom in the engineering of GRs, and pave the way for new developments and applications.

© 2009 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(160.5298) Materials : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: January 9, 2009
Revised Manuscript: February 19, 2009
Manuscript Accepted: March 9, 2009
Published: April 2, 2009

Armando Ricciardi, Ilaria Gallina, Stefania Campopiano, Giuseppe Castaldi, Marco Pisco, Vincenzo Galdi, and Andrea Cusano, "Guided resonances in photonic quasicrystals," Opt. Express 17, 6335-6346 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. Noda, "Recent progresses and future prospects of two- and three-dimensional photonic crystals," J. Lightwave Technol. 24, 4554-4567 (2006). [CrossRef]
  2. I. Park, H.-S. Lee, H.-J. Kim, K.-M. Moon, S.-G. Lee, B.-H. O, S.-G. Park, and E.-H. Lee, "Photonic crystal power-splitter based on directional coupling," Opt. Express 12, 3599-3604 (2004) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-15-3599. [CrossRef] [PubMed]
  3. M. Imada, S. Noda, A. Chutinan, M. Mochizuki, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," J. Lightwave Technol. 20, 845-850 (2002). [CrossRef]
  4. B. Song, T. Asano, Y. Akahane, Y. Tanaka, and S. Noda, "Multichannel add/drop filter based on in-plane hetero photonic crystals," J. Lightwave Technol. 23, 1449-1455 (2005). [CrossRef]
  5. Y. Jiang, W. Jiang, L. Gu, X. Chen, and R. T. Chen, "80-micron interaction length silicon photonic crystal waveguide modulator," Appl. Phys. Lett. 87, 221105 (2005). [CrossRef]
  6. T. F. Krauss, "Slow light in photonic crystal waveguides," J. Phys. D: Appl. Phys. 40, 2666-2670 (2007). [CrossRef]
  7. D. W. Prather, S. Y. Shi, D. M. Pustai, C. H. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowsky, "Dispersion-based optical routing in photonic crystals," Opt. Lett. 29, 50-52 (2004). [CrossRef] [PubMed]
  8. E. Chow, S. Y. Lin, S. G. Johnson, P. R. Villeneuve, J. D. Joannopoulos, J. R. Wendt, G. A. Vawter, W. Zubrzycki, H. Hou, and A. Alleman, "Three-dimensional control of light in a two-dimensional photonic crystal slab," Nature 407, 983-986 (2000). [CrossRef] [PubMed]
  9. S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999). [CrossRef]
  10. S. H. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002). [CrossRef]
  11. V. N. Astratov, I. S. Culshaw, R. M. Stevenson, D. M. Whittaker, M. S. Skolnick, T. F. Krauss, and R. M. De la Rue, "Resonant coupling of near-infrared radiation to photonic band structure waveguides," J. Lightwave Technol. 17, 2050-2057 (1999) [CrossRef]
  12. U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866-1878 (1961). [CrossRef]
  13. V. Lousse, W. Suh, O. Kilic, S. Kim, O. Solgaard, and S. H. Fan, "Angular and polarization properties of a photonic crystal slab mirror," Opt. Express 12, 1575-1582 (2004) http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-8-1575. [CrossRef] [PubMed]
  14. W. Suh and S. H. Fan, "Mechanically switchable photonic crystal filter with either all-pass transmission or flat-top reflection characteristics," Opt. Lett. 28, 1763-1765 (2003). [CrossRef] [PubMed]
  15. Y. Kanamori, T. Kitani, and K. Hane, "Control of guided resonance in a photonic crystal slab using microelectromechanical actuators," Appl. Phys. Lett. 90, 031911 (2007). [CrossRef]
  16. O. Levi, M. M. Lee, J. Zhang, V. Lousse, S. R. J. Brueck, S. Fan, and J. S. Harris. "Sensitivity analysis of a photonic crystal structure for index-of-refraction sensing," Proc. SPIE 6447, 2-9 (2007).
  17. W. Suh, O. Solgaard, and S. Fan, "Displacement sensing using evanescent tunneling between guided resonances in photonic crystal slabs," J. Appl. Phys. 98, 033102 (2005). [CrossRef]
  18. A. Rosenberg, M. W. Carter, J. A. Casey, M. Kim, R. T. Holm, R. L. Henry, C. R. Eddy, V. A. Shamamian, K. Bussmann, S. Shi, and D. W. Prather, "Guided resonances in asymmetrical GaN photonic crystal slabs observed in the visible spectrum," Opt. Express 13, 6564-6571 (2005) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-17-6564. [CrossRef] [PubMed]
  19. T. Prasad, V. L. Colvin, and D. M. Mittleman, "Dependence of guided resonances on the structural parameters of terahertz photonic crystal slabs," J. Opt. Soc. Am. B 25, 633-644 (2008). [CrossRef]
  20. C. Grillet, D. Freeman, B. Luther-Davies, S. Madden, R. McPhedran, D. J. Moss, M. J. Steel, and B. J. Eggleton, "Characterization and modeling of Fano resonances in chalcogenide photonic crystal membranes," Opt. Express 14, 369-376 (2006) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-1-369. [CrossRef] [PubMed]
  21. T. Prasad, V. L. Colvin, and D. M. Mittleman, "The effect of structural disorder on guided resonances in photonic crystal slabs studied with terahertz time-domain spectroscopy," Opt. Express 15, 16954-16965 (2007) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-25-16954. [CrossRef] [PubMed]
  22. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, "Metallic phase with long-range orientational order and no translation symmetry," Phys. Rev. Lett. 53, 1951-1953 (1984). [CrossRef]
  23. D. Levine and P. J. Steinhardt, "Quasicrystals: A new class of ordered structures," Phys. Rev. Lett. 53, 2477-2480 (1984). [CrossRef]
  24. M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Cambridge, UK, 1995).
  25. E. Maciá, "The role of aperiodic order in science and technology," Rep. Progr. Phys. 69, 397-441 (2006). [CrossRef]
  26. W. Steurer and D. Sutter-Widmer, "Photonic and phononic quasicrystals," J. Phys. D: Appl. Phys. 40, R229-R247 (2007). [CrossRef]
  27. A. W. Rodriguez, A. P. McCauley, Y.  Avniel, and S. G. Johnson, "Computation and visualization of photonic quasicrystal spectra via Bloch’s theorem," Phys. Rev. B 77, 104201 (2008). [CrossRef]
  28. U. Grimm and M. Schreiber, "Aperiodic tilings on the computer," in Quasicrystals: An Introduction to Structure, Physical Properties, and Applications, J.-B. Suck, M. Schreiber, and P. Häussler, eds., (Springer, Berlin, Germany, 2002).
  29. CST MICROWAVE STUDIO®, User Manual (CST GmbH, Darmstadt, Germany, 2008).
  30. BandSOLVE ™ User Manual (RSOFT Design Group Inc., Ossining, NY, USA, 2002).
  31. W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," IEEE J. Quantum Electron. 40, 1511-1518 (2004). [CrossRef]
  32. O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "Controlling uncoupled resonances in photonic crystals through breaking the mirror symmetry," Opt. Express 16, 13090-13103 (2008) http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-17-13090. [CrossRef] [PubMed]
  33. K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slab at visible and near-infrared wavelengths," Phys. Rev. B 73, 115126 (2006). [CrossRef]
  34. K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982-7986 (1995). [CrossRef]
  35. T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited