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求解分析了有损耗情况下二维金属光子晶体的能带结构。在无损耗自由电子模型下,利用界面算子法得到了横磁模式和能带结构。考虑有损耗的Drude模型,并引入同伦法对本征频带进行修正,得到其相应的虚部。结果表明,损耗在表面等离子体频率处存在一个极大值;当频率改变时,损耗急剧减小,并随着倒格矢量值的变化而改变。即使考虑金属损耗,实部频率变化不明显。界面算子法与同伦法的结合为金属光子晶体的研究提供了较好的技术支持。
The energy band structure of two-dimensional metallic photonic crystal with loss is analyzed and solved. In the lossless free electron model, the transverse magnetic mode and the band structure were obtained by the interface operator method. Considering the lossy Drude model and introducing the homotopy method to modify the intrinsic frequency band, the corresponding imaginary part is obtained. The results show that the loss has a maximum at the surface plasmon frequency. When the frequency changes, the loss decreases sharply and changes with the value of the chamfered vector. Even considering the metal loss, the real part of the frequency change is not obvious. The combination of interface operator method and homotopy method provides a good technical support for the research of metal photonic crystals.