OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 24 — Nov. 22, 2010
  • pp: 25346–25360

Coupled waveguide modes in hexagonal photonic crystals

J. Scott Brownless, Sahand Mahmoodian, Kokou B. Dossou, Felix J. Lawrence, Lindsay C. Botten, and C. Martijn de Sterke  »View Author Affiliations


Optics Express, Vol. 18, Issue 24, pp. 25346-25360 (2010)
http://dx.doi.org/10.1364/OE.18.025346


View Full Text Article

Enhanced HTML    Acrobat PDF (1802 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We investigate the modes of coupled waveguides in a hexagonal photonic crystal. We find that for a substantial parameter range the coupled waveguide modes have dispersion relations exhibiting multiple intersections, which we explain both intuitively and using a rigorous tight-binding argument.

© 2010 Optical Society of America

OCIS Codes
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Integrated Optics

History
Original Manuscript: September 23, 2010
Revised Manuscript: November 12, 2010
Manuscript Accepted: November 13, 2010
Published: November 19, 2010

Citation
J. Scott Brownless, Sahand Mahmoodian, Kokou B. Dossou, Felix J. Lawrence, Lindsay C. Botten, and C. Martijn de Sterke, "Coupled waveguide modes in hexagonal photonic crystals," Opt. Express 18, 25346-25360 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-24-25346


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. Kubo, D. Mori, and T. Baba, "Low-group-velocity and low-dispersion slow light in photonic crystal waveguides," Opt. Lett. 32, 2981-2983 (2007). [CrossRef] [PubMed]
  2. A. Y. Petrov, and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85, 4866-4868 (2004). [CrossRef]
  3. A. A. Sukhorukov, A. V. Lavrinenko, D. N. Chigrin, D. E. Pelinovsky, and Y. S. Kivshar, "Slow-light dispersion in coupled periodic waveguides," J. Opt. Soc. Am. B 25, C65-C74 (2008). [CrossRef]
  4. D. Mori, and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides," Appl. Phys. Lett. 85, 1101-1103 (2004). [CrossRef]
  5. A. Martinez, F. Cuesta, and J. Marti, "Ultrashort 2-D photonic crystal directional couplers," IEEE Photon. Technol. Lett. 15, 694-696 (2003). [CrossRef]
  6. Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65-69 (2005). [CrossRef] [PubMed]
  7. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988). Chap. 11.
  8. K. Iizuka, Elements of Photonics, Volume II (Wiley, 2002). Chap. 9.
  9. 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]
  10. A. Locatelli, M. Conforti, D. Modotto, and C. D. Angelis, "Discrete negative refraction in photonic crystal waveguide arrays," Opt. Lett. 31, 1343-1345 (2006). [CrossRef] [PubMed]
  11. S. Ha, A. A. Sukhorukov, K. B. Dossou, L. C. Botten, A. V. Lavrinenko, D. N. Chigrin, and Y. S. Kivshar, "Dispersionless tunneling of slow light in antisymmetric photonic crystal couplers," Opt. Express 16, 1104-1114 (2008). [CrossRef] [PubMed]
  12. A. A. Sukhorukov, S. Ha, A. S. Desyatnikov, A. V. Lavrinenko, and Y. S. Kivshar, "Slow-light vortices in periodic waveguides," J. Opt. A, Pure Appl. Opt. 11, 094016 (2009). [CrossRef]
  13. L. C. Botten, K. B. Dossou, S. Wilcox, R. C. McPhedran, C. M. de Sterke, N. A. Nicorovici, and A. A. Asatryan, "Highly accurate modelling of generalized defect modes in photonic crystals using the FSS method," Int. J. Microwave Opt. Technol. 1, 133-145 (2006).
  14. F. S. Chien, Y. Hsu, W. Hsieh, and S. Cheng, "Dual wavelength demultiplexing by coupling and decoupling of photonic crystal waveguides," Opt. Express 12, 1119-1125 (2004). [CrossRef] [PubMed]
  15. S. Mahmoodian, C. G. Poulton, K. B. Dossou, R. C. McPhedran, L. C. Botten, and C. M. de Sterke, "Modes of shallow photonic crystal waveguides: semi-analytic treatment," Opt. Express 17, 19629-19643 (2009). [CrossRef] [PubMed]
  16. K. B. Dossou, C. G. Poulton, L. C. Botten, S. Mahmoodian, R. C. McPhedran, and C. Martijn de Sterke, "Modes of symmetric composite defects in two-dimensional photonic crystals," Phys. Rev. A 80, 013826 (2009). [CrossRef]
  17. L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001). [CrossRef]
  18. 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 modeling extended photonic crystal structures. I. theory," Phys. Rev. E 70, 056606 (2004). [CrossRef]
  19. L. C. Botten, R. A. Hansen, and C. M. de Sterke, "Supermodes in multiple coupled photonic crystal waveguides," Opt. Express 14, 387-396 (2006). [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