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二维金属光子晶体的带结构研究
  • 期刊名称:物理学报,2006,55(07):3590-3597
  • 时间:0
  • 分类:O734[理学—晶体学] TQ174.1[化学工程—陶瓷工业;化学工程—硅酸盐工业]
  • 作者机构:[1]电子科技大学物理电子学院,成都 610054
  • 相关基金:国家自然科学基金重点项目(批准号:60532010),霍英东教育基金会高等院校青年教师基金(批准号:91063),国家自然科学基金(批准号:60401005)资助的课题.
  • 相关项目:新型三曲面镜准光腔Smith-Purcell辐射源的研究
中文摘要:

采用一种新的平面波展开法研究金属光子晶体的带结构,即在传统平面波展开法的基础上,将“原问题”拓展,引入一个“新问题”,通过求解“新问题”得到“原问题”的带结构,并论证了它们之间的关系.为了准确求解“新问题”,引入辅助函数,将其色散关系等价为一个积分微分本征方程,求解这个本征方程得到“新问题”的带结构,从而由此导出“原问题”的带结构.最后,以正方晶格二维金属光子晶体为例,进行数值计算,得到了满意的结果.

英文摘要:

In order to study 2D metallic photonie crystal, a new plane-wave expansion method was proposed. Based on traditional plane wave expansion method, the "original problem" to be solved was extended to a "new problem". First, the relation between them were given, second, the "new problem" was transformed to an integral-differential eigen equation through an auxiliary function. The eigen equation was solved to obtain the band gap structures of the "new problem". The band gap structures of the "original problem" were deduced according to "new problem". Finally, numerical computations were clone for 2D square-lattice square metallic rods photonie crystal, and excellent results were achieved.

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