【摘要】 为了对折射率型1维光子晶体缺陷波导中的光传输进行有效数值模拟,采用此类型波导的厄米-高斯函数展开方法进行了研究。首先给出了计算方法的详细理论推导,然后利用该方法计算了偏振态不同、结构参量不同的情况下波导本征模式的色散关系、模场空间分布、能量控制因子及等效折射率。结果表明,1维光子晶体缺陷波导与阶跃平面光波导主要差别在于高阶模式,且可通过调节1维光子晶体的结构参量来有效调控高阶模式的传输。更多还原

【Abstract】 In order to simulate the light propagation in 1-D refractive-index-typed photonic crystal( PC) defect waveguide effectively,Hermite-Gaussian function expansion method was adopted. At first,the detailed theoretical derivations of the calculation method were presented. And then,dispersion relation,mode field patterns,energy control factor and equivalent refractive index of 1-D PC waveguides with different polarizations and different structural parameters were calculated. The results show that there are significant differences in the high-ordered modes between 1-D PC defect waveguides and step planar waveguides. The transmission of high-order modes can be controlled effectively by adjusting the structural parameters of 1-D PC.更多还原