具有缺陷结构的三角形二维光子晶体结构参量对本征模的影响

Influences of Structure Parameters of Triangular Lattice Photonic Crystal with Defect on Eigen Mode

通过有限元数值计算得到并图示了具有缺陷结构三角形二维光子晶体本征频率和介质柱半径、晶格常量以及介质柱介电常量之间的关系.利用这些关系可以在一定的范围内增大介质柱半径而相应减小介质柱介电常量,而本征频率基本保持不变.由于光子晶体结构参量的不同,本征模对应的电磁场在晶体中的分布也不同,图示了电场强度的大小在一些结构中的分布.由此可以掌握光子晶体结构参量对缺陷本征模的影响.

The localized eigen mode frequencies of a triangular lattice photonic crystal with a defect are calculated numerically as it has a complete photonic bandgap. The defect mode eigenfrequency dependence of its structure parameters is presented. The distributions of the magnitude of the electric field in some of these structures are also presented. From these relations between eigenfrequencies and structure parameters, if one dielectric cylinder is replaced with another one with different radius and a corresponding dielectric constant in a small range, the eigenfrequency will keep unchanged. It will help us to understand the influence of structure parameters on its defect mode.