Light Localization in Local Isomorphism Classes of Quasicrystals

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We study a continuum of photonic quasicrystal heterostructures derived from local isomorphism (LI) classes of pentagonal quasicrystal tilings. These tilings are obtained by direct projection from a five-dimensional hypercubic lattice. We demonstrate that, with the sole exception of the Penrose LI class, all other LI classes result in degenerate, effectively localized states, with precisely predictable and tunable properties (frequencies, frequency splittings, and densities). We show that localization and tunability are related to a mathematical property of the pattern known as "restorability," i.e., whether the tiling can be uniquely specified given only a set of rules that fix all allowed clusters smaller than some bound.

Original languageEnglish (US)
Article number247401
JournalPhysical review letters
Issue number24
StatePublished - Jun 14 2018

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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