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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 17 — Aug. 20, 2007
  • pp: 10984–10990

Efficient slow light coupling into photonic crystals

C. Martijn de Sterke, J. Walker, Kokou B. Dossou, and Lindsay C. Botten  »View Author Affiliations


Optics Express, Vol. 15, Issue 17, pp. 10984-10990 (2007)
http://dx.doi.org/10.1364/OE.15.010984


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Abstract

We study light coupling between two photonic crystal waveguides, one of which supports slow light. We show theoretically that a short photonic crystal waveguide between the two that need to be coupled, can lead to a vanishingly small reflectivity. The design relies on the analogy with a λ/4 anti-reflection layer in thin-film optics. We find that some of the usual relationships between the Fresnel coefficients at an interface no longer hold.

© 2007 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.2230) Diffraction and gratings : Fabry-Perot
(130.2790) Integrated optics : Guided waves
(230.7370) Optical devices : Waveguides
(250.5300) Optoelectronics : Photonic integrated circuits

ToC Category:
Photonic Crystals

History
Original Manuscript: July 3, 2007
Revised Manuscript: August 10, 2007
Manuscript Accepted: August 14, 2007
Published: August 16, 2007

Citation
C. M. de Sterke, J. Walker, Kokou B. Dossou, and Lindsay C. Botten, "Efficient slow light coupling into photonic crystals," Opt. Express 15, 10984-10990 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-17-10984


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References

  1. 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]
  2. R. S. Jacobsen,  et al., "Strained silicon as a new electro-optic material," Nature 441, 199-202 (2006). [CrossRef] [PubMed]
  3. J. B. Khurgin, "Optical buffers based on slow light in electromagnetically induced transparent media and coupled resonator structures: comparative analysis," J. Opt. Soc. Am. B 22, 1062-1074 (2005). [CrossRef]
  4. T. D. Happ, M. Kamp, and A. Forchel, "Photonic crystal tapers for ultracompact mode conversion," Opt. Lett. 26, 1102-1104 (2001). [CrossRef]
  5. K. Dossou, L. C. Botten, S. Chen, J. Brnovic, R. C. McPhedran, and C. M. de Sterke, "Efficient couplers for photonic crystal waveguides," Opt. Commun. 265, 207-219 (2006). [CrossRef]
  6. P. Pottier, M. Gnan, and R. M. De La Rue, "Efficient coupling into slow-light photonic crystal channel guides using photonic crystal tapers," Opt. Express 15, 6560-6575 (2007). [CrossRef]
  7. H. A. Macleod, Thin Film Optical Filters, 3rd Edition (Institute of Physics Pub., Bristol, 2001), Chap. 3.
  8. P. Velha, J. P. Hugonin, and P. Lalanne, "Compact and efficient injection of light into band-edge slow-modes," Opt. Express 15, 6102-6112 (2007). [CrossRef] [PubMed]
  9. N. Ozaki, Y. Kitagawa, Y. Takata, N. Ikeda, Y. Watanabe, A. Mizutani, Y. Sugimoto, and K. Asakawa, "High transmission recovery of slow light in a photonic crystal waveguide uing a hetero group velocity waveguide," Opt. Express 13, 7974-7982 (2007). [CrossRef]
  10. L. C. Botten, T. P. White, C.M. de Sterke, R. C. McPhedran, A. A. Asatryan, and T. N. Langtry, "Photonic crystal devices modelled as grating stacks," Opt. Express 12, 1592-1604 (2004). [CrossRef] [PubMed]
  11. L. C. Botten, T. P. White, A. A. Asatryan, and T. N. Langtry, C. M. de Sterke, R. C. McPhedran, "Bloch mode scattering matrix methods for modelling extended photonic crystal structures. Part 1: Theory," Phys. Rev. E 70, 056606:1-13 (2004). [CrossRef]
  12. K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comp. Phys. 219, 120-143 (2006). [CrossRef]
  13. L. C. Botten, T. P. White, A. A. Asatryan, T. N. Langtry, C.M. de Sterke and R. C. McPhedran, "Photonic crystal devices modelled as grating stacks: matrix generalizations of thin film optics," Opt. Express 12, 1592-1604 (2004). [CrossRef] [PubMed]

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