A simple formula for the L-gap width of a face-centred cubic photonic crystal

@article{Moroz1999ASF,
  title={A simple formula for the L-gap width of a face-centred cubic photonic crystal},
  author={Alexander Moroz},
  journal={Journal of Optics},
  year={1999},
  volume={1},
  pages={471-475}
}
  • A. Moroz
  • Published 15 March 1999
  • Physics
  • Journal of Optics
The width L of the first Bragg scattering peak in the (111) direction of a face-centred cubic lattice of air spheres can be well approximated by a simple formula which only involves the volume averaged and 2 over the lattice unit cell, being the (position dependent) dielectric constant of the medium, and the effective dielectric constant eff in the long-wavelength limit approximated by Maxwell-Garnett's formula. Apparently, our formula describes the asymptotic behaviour of the absolute gap… 
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