Finite-size Scaling of the Density of States in Photonic Band Gap Crystals

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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.
Original languageEnglish
Article number237402
JournalPhysical review letters
Volume120
Issue number23
DOIs
Publication statusPublished - 6 Jun 2018

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