Localized modes in defect-free dodecagonal quasiperiodic photonic crystals

Abstract

The transmission property and localization of electromagnetic waves in defect free dodecagonal quasiperiodic photonic crystals (QPCs) are studied. The simulation of total energy flow and the density of states show that the dodecagonal QPC has a photonic gap for TM polarized electromagnetic waves. However, different from the periodic photonic crystals, electromagnetic waves with certain frequencies are localized at some special regions inside a perfect dodecagonal QPC. A corresponding experiment in the microwave region confirms the phenomenon. It is believed that the occurrence of localized modes in QPCs can be attributed to the competition between two spatial structural properties: self-similarity and nonperiodicity.