OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 1 — Jan. 9, 2006
  • pp: 387–396

Supermodes in multiple coupled photonic crystal waveguides

L. C. Botten, R. A. Hansen, and C. Martijn de Sterke  »View Author Affiliations

Optics Express, Vol. 14, Issue 1, pp. 387-396 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (1070 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We analyze the supermodes in multiple coupled photonic crystal waveguides for long-wavelengths. In the tight-binding limit we obtain analytic results that agree with fully numerical calculations. We find that when the field flips sign after a single photonic crystal period, and there is an odd number of periods between adjacent waveguides, the supermode order is reversed, compared to that in conventional coupled waveguides, generalizing earlier results obtained for two coupled waveguides.

© 2006 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(130.2790) Integrated optics : Guided waves
(230.7370) Optical devices : Waveguides

ToC Category:
Photonic Crystals

L. C. Botten, R. A. Hansen, and C. Martijn de Sterke, "Supermodes in multiple coupled photonic crystal waveguides," Opt. Express 14, 387-396 (2006)

Sort:  Journal  |  Reset  


  1. See, e.g., Y. Sugimoto, Y. Tanaka, N. Ikeda, Y. Nakamura, K. Asakawa, and K. Inoue, "Low propagation loss of 0.76 dB/mm in GaAs-based single-line-defect two-dimensional photonic crystal slab waveguides up to 1 cm in length" Opt. Express 12, 1090-1096 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1090">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-6-1090</a>. [CrossRef] [PubMed]
  2. A. Martinez, F. Cuesta, and J. Marti, "Ultrashort 2-D photonic crystal directional couplers," IEEE Photonics Technol. Lett. 15, 694-696 (2003). [CrossRef]
  3. C.M. de Sterke, L.C. Botten, A.A. Asatryan, T.P. White, and R.C. McPhedran, "Modes of coupled photonic crystal waveguides," Opt. Lett. 29, 1384-1386 (2004). [CrossRef]
  4. P. Yeh, Optical Waves in Layered Media (Wiley, Hoboken, 1988).
  5. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Non-Relativistic Theory), 3rd Ed. (Pergamon, Oxford, 1977).
  6. L.C. Botten, N.A. Nicorovici, R.C. McPhedran, C.M. de Sterke, and A.A. Asatryan, "Photonic bandstructure calculations using scattering matrices," Phys. Rev. E 64, 046603:1-18 (2001). [CrossRef]
  7. L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, and P. A. Robinson, "Electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculation. Part 1: Formulation", J. Opt. Soc. Am. 17, 2165-76 (2000). [CrossRef]
  8. M. Born and E. Wolf, Principles of Optics, 6th Edition (Pergamon, Oxford, 1980), p. 66.
  9. L. C. Botten, T. P. White, A. A. Asatryan, T. N. Langtry, C. M. de Sterke and R. C. McPhedran, "Bloch mode scattering matrix methods for modelling extended photonic crystal structures. Part I: Theory," Phys. Rev. E 70, 056606, 1-13 (2004). [CrossRef]
  10. D. Felbacq, A. Moreau, and Rafik Smaâli, "Goos-Hänchen effect in the gaps of photonic crystals," Opt. Lett. 28, 1633-1635 (2003). [CrossRef] [PubMed]
  11. C.M. de Sterke, "Superstructure gratings in the tight-binding approximation," Phys. Rev. E 57 3502-3509 (1998). [CrossRef]
  12. M. Bayindir, B. Temelkuran, and E. Özbay, "Tight-binding description of the coupled defect modes in three-dimensional photonic crystals," Phys. Rev. Lett. 84, 2140 (2000). [CrossRef] [PubMed]
  13. S. Mookherjea and A. Yariv, "Optical pulse propagation in the tight-binding approximation," Opt. Express 9, 91-96 (2001) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-2-91">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-2-91</a>. [CrossRef] [PubMed]
  14. N.W. Ashcroft and N.D. Mermin, Solid State Physics,(Saunders College, Philadelphia, 1976).

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