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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 9 — Apr. 27, 2009
  • pp: 6952–6961

Comparing photonic band structure calculation methods for diamond and pyrochlore crystals

E. C. M. Vermolen, J. H. J. Thijssen, A. Moroz, M. Megens, and A. van Blaaderen  »View Author Affiliations

Optics Express, Vol. 17, Issue 9, pp. 6952-6961 (2009)

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The photonic band diagrams of close-packed colloidal diamond and pyrochlore structures, have been studied using Korringa-Kohn-Rostoker (KKR) and plane-wave calculations. In addition, the occurrence of a band gap has been investigated for the binary Laves structures and their constituent large- and small-sphere substructures. It was recently shown that these Laves structures give the possibility to fabricate the diamond and pyrochlore structures by self-organization. The comparison of the two calculation methods opens the possibility to study the validity and the convergence of the results, which have been an issue for diamond-related structures in the past. The KKR calculations systematically give a lower value for the gap width than the plane-wave calculations. This difference can partly be ascribed to a convergence issue in the plane-wave code when a contact point of two spheres coincides with the grid.

© 2009 Optical Society of America

OCIS Codes
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.5293) Materials : Photonic bandgap materials
(050.5298) Diffraction and gratings : Photonic crystals
(160.5298) Materials : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: January 23, 2009
Revised Manuscript: March 4, 2009
Manuscript Accepted: March 5, 2009
Published: April 13, 2009

E. C. Vermolen, J. H. Thijssen, A. Moroz, M. Megens, and A. van Blaaderen, "Comparing photonic band structure calculation methods for diamond and pyrochlore crystals," Opt. Express 17, 6952-6961 (2009)

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