# 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} }

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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