Two-dimensional photonic crystals constructed with a portion of photonic quasicrystals

Abstract

Photonic quasicrystals (PQs) can produce interesting photonic properties but the lack of periodicity in structures makes exact prediction on their photonic band structures (PBSs) a fundamental challenge currently. Here, we propose a kind of complex two-dimensional photonic crystal (PC) structures constructed with a small portion of different PQs for the purposes of overcoming the difficulty of numerical calculations on the PBSs but maintaining photonic properties of the original PQs owned. Theoretically calculated results on PBSs of the complex PC with a local feature consistent with 12-fold rotational symmetry show that, in the cases of dielectric cylinders in air, air-holes in a dielectric, and metal cylinders in air, respectively, the complex PC can indeed produce similar photonic properties of the original 12-fold PQ such as uniform or isotropic PBGs under much lower dielectric contrast etc. The complex PCs can be constructed with the local parts of n-fold symmetric PQs and should provide a way for creating novel photonic functional materials.