中文摘要：

本文利用数值模拟和实验的方法研究了准晶光子晶体的传输特性和局域特性.能流和态密度的计算结果都表示十二重准晶光子晶体具有光子带隙.但是,和周期性的光子晶体不同,具有确定频率的电磁波局域在无缺陷的十二重准晶光子晶体中.理论分析表明,这种局域模是由准晶光子晶体结构中的无序性和自相似性相互竞争的结果.

英文摘要：

The transmission property and localization of electromagnetic waves in defect free dodecagonal quasiperiodic photonic crystals （QPC） are studied. The simulation of total energy flow and the density of states show that the dodecagonal QPC has 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. 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.