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arXiv · 1304.7188

Photonic band-gap in a realistic atomic diamond lattice: penetration depth, finite-size and vacancy effects

Mauro Antezza·Yvan Castin
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Abstract

We study the effects of finite size and of vacancies on the photonic band gap recently predicted for an atomic diamond lattice. Close to a $J_g=0\to J_e=1$ atomic transition, and for atomic lattices containing up to $N\approx 3\times10^4$ atoms, we show how the density of states can be affected by both the shape of the system and the possible presence of a fraction of unoccupied lattice sites. We numerically predict and theoretically explain the presence of shape-induced border states and of vacancy-induced localized states appearing in the gap. We also investigate the penetration depth of the electromagnetic field which we compare to the case of an infinite system.

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Mauro Antezza, Yvan Castin. 2013-04-26. Photonic band-gap in a realistic atomic diamond lattice: penetration depth, finite-size and vacancy effects. https://doi.org/10.1103/physreva.88.033844

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