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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 8, Iss. 3 — Jan. 29, 2001
  • pp: 167–172

Photonic band structure computations

Daniel Hermann, Meikel Frank, Kurt Busch, and Peter Wölfle  »View Author Affiliations


Optics Express, Vol. 8, Issue 3, pp. 167-172 (2001)
http://dx.doi.org/10.1364/OE.8.000167


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Abstract

We introduce a novel algorithm for band structure computations based on multigrid methods. In addition, we demonstrate how the results of these band structure calculations may be used to compute group velocities and effective photon masses. The results are of direct relevance to studies of pulse propagation in such materials.

© Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.3950) Other areas of optics : Micro-optics

ToC Category:
Focus Issue: Photonic bandgap calculations

History
Original Manuscript: November 13, 2000
Published: January 29, 2001

Citation
Daniel Hermann, Meikel Frank, Kurt Busch, and Peter Wolfle, "Photonic band structure computations," Opt. Express 8, 167-172 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-3-167


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References

  1. C.M. Soukoulis (Ed.), Photonic Band Gap Materials, NATO ASI Series E 315, (Kluwer Academic Publishers, 1996). [CrossRef]
  2. A. Birner et al., "Macroporous Silicon: A Two-Dimensional Photonic Bandgap Material Suitable for the Near-Infrared Spectral Range," phys. stat. sol (a) 165, 111-117 (1998) [CrossRef]
  3. K.M. Ho, C.T. Chan, and C.M. Soukoulis, "Existence of a photonic band gap in periodic structures," Phys. Rev. Lett. 65, 3152-3155 (1990). [CrossRef] [PubMed]
  4. K. Busch and S. John, "Photonic band gap formation in certain self-organizing systems," Phys. Rev. E 58, 3896-3908 (1998). [CrossRef]
  5. K. Busch and S. John. "Liquid crystal photonic band gap materials: The tunable electromagnetic vacuum," Phys. Rev. Lett. 83, 967-970 (1999). [CrossRef]
  6. P. Wesseling, An Introduction to Multigrid Methods, (John Wiley & Sons, 1992).
  7. A. Brandt, S. McCormick, and J. Ruge, "Multigrid methods for differential eigenproblems," SIAM J. Sci. Stat. Comput. 4, 244-260 (1983). [CrossRef]
  8. C. Martijn de Sterke and J.E. Sipe, "Envelope-function approach for the electrodynamics of non-linear periodic media," Phys. Rev. A 38, 5149-5165 (1988) [CrossRef]

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