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采用一种改进的平面波展开法 ,运用一种有效的设计二维各向异性光子晶体的方法 ,在低频和高频区域内获得了具有较大禁带的两种二维光子晶体 .低频区域内 ,找到具有最大禁带宽度的光子晶体的禁带宽度为Δω =0 0 76 (2πc a) ,中心频率为 0 76 9(2πc a) (这里的a为晶格常量 ) .高频区域内 ,找到的光子晶体的最大禁带宽度为Δω =0 1(2πc α) ,中心频率为 1 6 5 3(2πc a) .同时在低频区域内 ,发现一种很简单的正方网格结构 ,它的禁带宽度为Δω =0 0 5 74 (2πc a) ,禁带宽度与禁带的中心频率之比为Δω ωc =11 782 % .
An improved two-dimensional photonic crystal with large forbidden band was obtained in the low frequency and high frequency regions by an effective method of designing two-dimensional anisotropic photonic crystals by using an improved plane wave expansion method. , The bandgap of the photonic crystal with the largest forbidden band width is Δω = 0 0 76 (2πc a) and the center frequency is 0 76 9 (2πc a) (where a is the lattice constant). In the high frequency region, The maximum bandgap of photonic crystals found is Δω = 0 1 (2πc α) and the center frequency is 1 6 5 3 (2πc a) .At the same time, a very simple square lattice structure is found in the low frequency region, The forbidden band width is Δω = 0 0 5 74 (2πc a). The ratio of the forbidden band width to the forbidden band center frequency is Δω ωc = 11 782%.