提出和研究了一种介质柱在空气中复合周期排列的二维光子晶体新结构,该结构是二套不同尺寸介质柱的正方周期排列的叠加所构成.针对这种光子晶体,对Maxwell方程做出了严格的Fourier变换,从而建立了快速的平面波展开算法.应用所建立的快速理论算法,详细地数值分析了这种光子晶体的能带结构及相关禁带,结果表明,与介质柱的简单正方周期结构相比,复合周期结构由于降低了结构的对称性,它的绝对禁带得到了显著的增大.
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