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arXiv · 1701.01743

Finite size scaling of density of states in photonic bandgap crystals

Shakeeb Bin Hasan·Allard P. Mosk·Willem L. Vos·Ad Lagendijk
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Abstract

The famous vanishing of the density of states (DOS) in a band gap, be it photonic or electronic, pertains to the infinite-crystal limit. In contrast, all experiments and device applications refer to finite crystals, which raises the question: Upon increasing the linear size $L$ of a crystal, how fast does the DOS approach the infinite-crystal limit? We present a theory for finite crystals that includes Bloch-mode broadening due to the presence of crystal boundaries. Our results demonstrate that the DOS for frequencies inside a band gap has a $1/L$ scale dependence for crystals in one, two and three dimensions.

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Shakeeb Bin Hasan, Allard P. Mosk, Willem L. Vos, Ad Lagendijk. 2017-01-06. Finite size scaling of density of states in photonic bandgap crystals. https://doi.org/10.1103/physrevlett.120.237402

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