OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 1 — Jan. 1, 2003
  • pp: 138–146

Sensitivity analysis of narrowband photonic crystal filters and waveguides to structure variations and inaccuracy

Ben Zion Steinberg, Amir Boag, and Ronen Lisitsin  »View Author Affiliations

JOSA A, Vol. 20, Issue 1, pp. 138-146 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (418 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Photonic crystal microcavities, formed by local defects within an otherwise perfectly periodic structure, can be used as narrowband optical resonators and filters. The coupled-cavity waveguide (CCW) is a linear array of equally spaced identical microcavities. Tunneling of light between microcavities forms a guiding effect, with a central frequency and bandwidth controlled by the local defects’ parameters and spacing, respectively. We employ cavity perturbation theory to investigate the sensitivity of microcavities and CCWs to random structure inaccuracies. For the microcavity, we predict a frequency shift that is due to random changes in the lattice structure and show an approximate linear dependence between the standard deviation of the structure inaccuracy and that of the resonant frequency. The effect of structural inaccuracy on the CCW devices, however, is different; it has practically no effect on the CCW performance if it is below a certain threshold but may destroy the CCW if this threshold is exceeded.

© 2003 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves

Original Manuscript: June 9, 2002
Revised Manuscript: August 16, 2002
Manuscript Accepted: August 19, 2002
Published: January 1, 2003

Ben Zion Steinberg, Amir Boag, and Ronen Lisitsin, "Sensitivity analysis of narrowband photonic crystal filters and waveguides to structure variations and inaccuracy," J. Opt. Soc. Am. A 20, 138-146 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. Centeno, B. Guizal, D. Felbacq, “Multiplexing and demultiplexing with photonic crystals,” J. Opt. A Pure Appl. Opt. 1, L10–L13 (1999). [CrossRef]
  2. N. Stefanou, A. Modinos, “Impurity bands in photonic insulators,” Phys. Rev. B 57, 12127–12133 (1998). [CrossRef]
  3. M. Bayindir, B. Temelkuran, E. Ozbay, “Tight-binding description of the coupled defect modes in three-dimensional photonic crystals,” Phys. Rev. B 61, 11855–11858 (2000). [CrossRef]
  4. A. Yariv, Y. Xu, R. K. Lee, A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999). [CrossRef]
  5. A. Boag, M. Gafni, B. Z. Steinberg, “Bandwidth control for photonic bandgap waveguides,” in Proceedings of Bianisotropics 2000, the Eighth International Conference on Electromagnetics of Complex Media (Instituto Superior Tecnico, Lisbon, 2000), pp. 321–324.
  6. A. Boag, B. Z. Steinberg, “Narrow-band microcavity waveguides in photonic crystals,” J. Opt. Soc. Am. A 18, 2799–2805 (2001). [CrossRef]
  7. R. E. Peierls, Quantum Theory of Solids (Oxford Clarendon Press, Oxford, UK, 1955.
  8. R. F. Harrington, Time Harmonic Electromagnetic Fields (McGraw Hill, New York, 1961).
  9. J. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N. J.1995).
  10. P. Lancaster, M. Tismenetsky, The Theory of Matrices, 2nd ed. (Academic, Orlando, Fla., 1985).

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited