采用平面波展开法分别模拟了空气背景下由介质圆柱和方柱构造的二维Archimedes (4，82)复式晶格光子晶体的能带结构，讨论了介质柱形状、折射率、填充比和旋转对称性等因素对完全光子禁带的影响.研究发现，当折射率在2.60到5.40之间时，介质圆柱和方柱构造的二维Archimedes (4，82)复式晶格光子晶体都出现了完全光子禁带.随着折射率的增大，最大完全禁带宽度并非随之增大而是存在峰值，介质圆柱型晶格在折射率为2.80时出现峰值;介质方柱型晶格在折射率为2.80和4.40两处出现峰值，且旋转介质方柱能够明显增大禁带宽度，同时存在最佳旋转角度.分析结果表明，在最大完全禁带处，折射率、填充比以及旋转角度等因素的变化对禁带特性的影响很小.

The bandgaps of the twodimensional Archimedes (4,82) lattice consisting of different dielectric circular and square rods were calculated with the plane wave expansion method. The bandgaps of the lattice with dielectric rods were investigated as the refractive index, dielectric rods shape, filling fraction and rotational symmetry changing. It was found that the width of the complete photonic bandgaps is not always increasing with the difference of the refractive index. The widest complete photonic bandgaps could be achieved in the (4,82) structure when the refractive index is between 2.60 and 5.40. For the Archimedes (4,82) lattice of circular dielectric rod, the width of complete bandgap reaches the maximum when the dielectric refractive index of rod is equal to 2.80. Also, the complete bandgap of square dielectric rod reaches the maximum when the dielectric refractive index equals 2.80 and 4.40. In addition, the rotation angle of square dielectric rods can significantly increase the width of complete bandgap. The results demonstrate that the quantity, width and frequency position of bandgaps can be modulated by changing the refractive index, the filling fraction and other structural parameters.