Wood anomalies in resonant photonic quasicrystals

TL;DR

This paper develops a theory for light diffraction in resonant photonic quasicrystals, revealing unique Wood anomalies in reflection spectra, demonstrated through quantum dots arranged in Penrose tiling.

Contribution

It introduces a novel theoretical framework for understanding diffraction and Wood anomalies in resonant quasicrystalline structures, extending beyond periodic systems.

Findings

Rich diffraction structures unique to quasicrystals

Identification of Wood anomalies in reflection spectra

Application to quantum dot Penrose tilings

Abstract

A theory of light diffraction from planar quasicrystalline lattice with resonant scatterers is presented. Rich structure, absent in the periodic case, is found in specular reflection spectra, and interpreted as a specific kind of Wood anomalies, characteristic for quasicrystals. The theory is applied to semiconductor quantum dots arranged in Penrose tiling.