中文摘要：

基于自旋密度序参量发展了含阻尼效应的磁振子晶体带结构计算的平面波展开法，采用该方法数值计算了铁/镍构成的二维磁振子晶体带结构，讨论了阻尼效应对磁振子晶体带隙结构的影响问题。计算结果表明，考虑阻尼效应后，自旋波在磁振子晶体中的色散关系将出现复带结构，自旋波沿不同方向传播表现出明显的各向异性。

英文摘要：

On the basis of spin density order parameter,a plane wave expansion method was developed for the calculation of magnonic crystal band structure including damping effect.Band structures of the two dimensional magnonic crystal composed of Fe rods squarely arranged in Ni matrix were calculated by using this method,and the effects of damping on the band structures were discussed.The numerical results show that the complex band structures can be generated in the consideration of damping effects.The propagating of spin waves shows distinct anisotropy along the different directions.