Phys. Rev. B 45, 13962–13972 (1992)Photonic bands: Convergence problems with the plane-wave methodReceived 7 October 1991; published in the issue dated 15 June 1992 The problems associated with the poor convergence of the Fourier transform of the hard-sphere dielectric function are discussed. A significant band gap between the eighth and ninth levels has been found for air spheres in fcc. We also consider a periodic array of Gaussian spheres, which converges well and allows a consistent and reliable determination of the general features of photonic bands. It is found that when ε(r) is sharply peaked, photonic levels become almost degenerate throughout the Brillouin zone, corresponding to standing waves. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.45.13962
DOI:
10.1103/PhysRevB.45.13962
PACS:
71.25.Cx, 84.90.+a
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