OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 28, Iss. 1 — Jan. 1, 2011
  • pp: 69–78

Frequency domain analysis of guided resonances and polarization selectivity in photonic crystal membranes

Jan Kupec, Uğur Akçakoca, and Bernd Witzigmann  »View Author Affiliations

JOSA B, Vol. 28, Issue 1, pp. 69-78 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (3501 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Microstructured photonic crystal membranes are of great interest as compact filters in a variety of fields, including telecommunication and sensing. Here we present an analysis of the transmission and resonance behavior of a dielec tric membrane featuring periodically arranged holes using the frequency domain finite element analysis. We solve both the source as well as eigenvalue problem for a given geometry. Applying symmetry considerations, we discard modes that cannot be excited by incident transverse electro-magnetic (TEM) light simultaneously. We relate the results of the source problem to the modal analysis and obtain strong correspondence in both frequency and resonance quality factor. We find that the sharp resonances can be related to the eigenmodes of a rectangular dielectric resonator formed by the membrane and the holes of the photonic crystal. Analyzing noncircular holes for polarization-dependent transmittivity, the modal analysis presented herein constitutes a powerful tool to understand and identify occurrence of pronounced wideband polarization selectivity.

© 2011 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(260.5740) Physical optics : Resonance
(130.5296) Integrated optics : Photonic crystal waveguides
(050.5298) Diffraction and gratings : Photonic crystals
(130.5440) Integrated optics : Polarization-selective devices

ToC Category:
Integrated Optics

Original Manuscript: August 12, 2010
Manuscript Accepted: October 14, 2010
Published: December 13, 2010

Jan Kupec, Uğur Akçakoca, and Bernd Witzigmann, "Frequency domain analysis of guided resonances and polarization selectivity in photonic crystal membranes," J. Opt. Soc. Am. B 28, 69-78 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef] [PubMed]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987). [CrossRef] [PubMed]
  3. J. Knight, “Photonic crystal fibres,” Nature 424, 847–851 (2003). [CrossRef] [PubMed]
  4. T. Krauss and R. De La Rue, “Photonic crystals in the optical regime—past, present and future,” Prog. Quantum Electron. 23, 51–96 (1999). [CrossRef]
  5. P. Alivisatos, “The use of nanocrystals in biological detection,” Nat. Biotechnol. 22, 47–52 (2003). [CrossRef]
  6. J. Jensen, L. Pedersen, P. Hoiby, L. Nielsen, T. Hansen, J. Folkenberg, J. Riishede, D. Noordegraaf, K. Nielsen, A. Carlsen, and A. Bjarklev, “Photonic crystal fiber based evanescent-wave sensor for detection of biomolecules in aqueous solutions,” Opt. Lett. 29, 1974–1976 (2004). [CrossRef] [PubMed]
  7. T. Kusserow, M. Wulf, R. Zamora, T. Vengatesan, B. Witzigmann, and H. Hillmer, Photonic Crystal Polarizer Element on InP/Air Membranes for Optical MEMS Applications, Compound Semiconductor Photonics (Pan Stanford, 2010).
  8. S. Fan and J. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65, 235112 (2002). [CrossRef]
  9. O. Kilic, S. Fan, and O. Solgaard, “Analysis of guided-resonance-based polarization beam splitting in photonic crystal slabs,” J. Opt. Soc. Am. A 25, 2680–2692 (2008).
  10. S. Fan, W. Suh, and J. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20, 569–572 (2003). [CrossRef]
  11. U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. Lett. 124, 1866–1878 (1961).
  12. J. Jin, The Finite Element Method in Electromagnetics(Wiley, 1993).
  13. F. Römer, B. Witzigmann, O. Chinellato, and P. Arbenz, “Investigation of the Purcell effect in photonic crystal cavities with a 3D finite element Maxwell solver,” Opt. Quantum Electron. 39, 341–352 (2007). [CrossRef]
  14. S. Fan, P. Villeneuve, J. Joannopoulos, and E. Schubert, “High extraction efficiency of spontaneous emission from slabs of photonic crystals,” Phys. Rev. Lett. 78, 3294–3297 (1997). [CrossRef]
  15. G. Craven and R. Skedd, Evanescent Mode Microwave Components (Artech House, 1987).
  16. A. Ricciardi, I. Gallina, S. Campopiano, G. Castaldi, M. Pisco, V. Galdi, and A. Cusano, “Guided resonances in photonic quasicrystals,” Opt. Express 17, 6335–6346 (2009). [PubMed]
  17. 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]
  18. 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). [CrossRef] [PubMed]
  19. I. Gallina, M. Pisco, A. Ricciardi, S. Campopiano, G. Castaldi, A. Cusano, and V. Galdi, “Guided resonances in photonic crystals with point-defected aperiodically-ordered supercells,” Opt. Express 17, 19586–19598 (2009). [CrossRef] [PubMed]

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