把用于计算正方晶格的快速平面波方法 ,经修正使之适用于计算长方晶格光子晶体的带结构 ,数值分析了一种具有稳定的较大完全禁带宽度的GaAs三角晶格光子晶体结构 ,这种三角晶格原胞可以用一个矩形 (晶格常数为a ,b ,且a >b)单胞来处理 ,经优化得到完全禁带宽度为Δω=0 136 4ωe(ωe =2πc a ,a为晶格常数 ,c为光速 ) ,中心频率为ωmid =1 0 4 4 4ωe,禁带宽度与中心频率比值达到了 13 1% . The fast plane wave method used to calculate the square lattice was modified to make it suitable for calculating the band structure of the rectangular lattice photonic crystal. A GaAs triangular lattice photonic crystal with a stable large complete forbidden band width was numerically analyzed Structure, this triangular lattice cells can be a rectangular (lattice constant a, b, and a> b) unit cells to be processed, the optimized forbidden band width Δω = 0 136 4ωe (ωe = 2πc a , a is the lattice constant, c is the speed of light), the center frequency is ωmid = 1 0 4 4 4ωe, and the ratio of the forbidden band width to the center frequency reaches 13 1%.