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Optics Letters

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  • Vol. 29, Iss. 16 — Aug. 13, 2004
  • pp: 1897–1899

Disorder-induced losses in photonic crystal waveguides with line defects

Dario Gerace and Lucio Claudio Andreani  »View Author Affiliations


Optics Letters, Vol. 29, Issue 16, pp. 1897-1899 (2004)
http://dx.doi.org/10.1364/OL.29.001897


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Abstract

A numerical analysis of extrinsic diffraction losses in two-dimensional photonic crystal slabs with line defects is reported. To model disorder, a Gaussian distribution of hole radii in the triangular lattice of airholes is assumed. The extrinsic losses below the light line increase quadratically with the disorder parameter, decrease slightly with increasing core thickness, and depend weakly on the hole radius. For typical values of the disorder parameter the calculated loss values of guided modes below the light line compare favorably with available experimental results.

© 2004 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(130.2790) Integrated optics : Guided waves
(230.7400) Optical devices : Waveguides, slab
(250.5300) Optoelectronics : Photonic integrated circuits
(290.5870) Scattering : Scattering, Rayleigh

Citation
Dario Gerace and Lucio Claudio Andreani, "Disorder-induced losses in photonic crystal waveguides with line defects," Opt. Lett. 29, 1897-1899 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-16-1897


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References

  1. See papers in Feature on Photonic Crystal Structures and Applications, T. F. Krauss and T. Baba, eds., IEEE J. Quantum Electron. 38, 724–963 (2002).
  2. A. Chutinan and S. Noda, Phys. Rev. B 62, 4488 (2000).
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  7. L. C. Andreani and M. Agio, Appl. Phys. Lett. 82, 2011 (2003).
  8. M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, in Ref. 1, p. 736.
  9. S. J. McNab, N. Moll, and Yu. Vlasov, Opt. Express 11, 2927 (2003), http://www.opticsexpress.org.
  10. L. C. Andreani and M. Agio, in Ref. 1, p. 891.
  11. L. C. Andreani, Phys. Status Solidi B 234, 139 (2002).
  12. We typically use up to 461 plane waves and two guided modes in the basis set for air-bridge structures, taking advantage of the horizontal mirror symmetry of the slab. The number of guided modes is doubled in the case of SOI. The calculations employ a supercell in the direction GM perpendicular to the line defect, and an average over the results with supercell widths from 3w0+w to 8w0+w is taken to smooth out finite supercell effects, as in Ref. 7.
  13. The supercell along GK used to model the disorder typically has a size of 39a.Note that the use of this supercell does not require the number of plane waves to be increased, since disorder-induced scattering is treated by perturbation theory.All loss results include an average over calculations with six different random distributions corresponding to the same disorder parameter Dr/a.
  14. The defect mode shown in Fig. is globally odd (skz=-1), but its dominant field components are spatially even with respect to the vertical midplane kz bisecting the waveguide channel.
  15. K. Yamada, H. Morita, A. Shinya, and M. Notomi, Opt. Commun. 198, 395 (2001).
  16. M. Qiu, Phys. Rev. B 66, 033103 (2002).
  17. S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljacic, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, in Proceedings of 2003 Fifth International Conference on Transparent Optical Networks (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 2003), p. 103.

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