电介质和磁介质光子晶体光学特性分析

Analysis of optical characteristics of dielectric and magnetic photonic crystal

从电磁场麦克斯韦方程组出发,将光子晶体的电磁场分析问题归结为求解电磁本征函数问题,明确求解光子晶体遵循的物理原理和数学方法.针对由电介质构成的光子晶体,分析该光子晶体周期结构下TE和TM入射光波的带隙特性和缺陷结构下的能量集聚特性,计算结果表明,光子晶体的频带特性与其几何结构紧密相关,通过改变光子晶体尺寸,可使其获得良好的带隙特性.针对磁介质构成的光子晶体,分析磁性光子晶体的频率特性,计算结果表明,磁性光子晶体具有和电介质光子晶体相似的光学性质,也具有频率禁带特性,其与入射波性质、光子晶体几何尺寸、磁介质参数紧密相关.

The solution of electromagnetic problem of photonic crystal was deduced to be an eigenvalue function problem based on electromagnetic Maxwell equations,and the physic principle and mathematic method for solution of photonic crystal were obtained.For the photonic crystal of dielectric media,the band gap of periodic photonic crystal for TE and TM incident planar wave,and the characteristics of energy agglomeration confinement of defective photonic crystal were analyzed.The calculation results showed that the band gap of photonic crystal was closely related to its geometric structure.The better band gap could be reached for certain photonic crystal dimensions.Then,the band gap for magnetic photonic crystal was analyzed,showing a similar band gap to that of dielectric photonic crystal.Its band gap was closely related to incident wave type,geometry of photonic crystal and magnetic media parameters.