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提出由圆柱柱体粗细及介电常数差异间隔构成层状复合周期结构的二维光子晶体,用平面波展开方法数值研究其传输特性,数值结果表明,在不同二维圆柱半径层状复周期结构光子晶体透射谱中,禁带位置、宽度,传导模的出现与间隔层柱体的粗细差异有关,差异越大,光子禁带越小,中心频率位置向低频方向移动;在不同介电常数构成的层状复周期结构中,介电常数差异越大,光子禁带宽度越小,同样中心频率向低频方向移动;当间隔的层状柱体层数达到一定值时,没有传导模式出现,在相同差异条件下,禁带与传导模式相关,还与晶格结构的类型、电磁波入射面柱体的摆放顺序相关。相关结论为扩展二维光子晶体的应用提供新的理论依据。
Proposed a two-dimensional photonic crystal composed of layered composite periodic structure with the difference of the thickness of the cylinder and the dielectric constant. The propagation properties of the two-dimensional photonic crystal are studied numerically by the plane wave expansion method. Numerical results show that in the two- In the crystal transmission spectrum, the position, width and conduction mode of the forbidden band are related to the difference of the thickness of the spacer layer. The larger the difference is, the smaller the photon forbidden band and the shift of the center frequency to the low frequency. In the lamellar complex periodic structure, the larger the difference of the dielectric constant is, the smaller the photon forbidden band width is, and the same center frequency moves to the lower frequency. When the number of lamellar cylinders in the interval reaches a certain value, no conduction mode occurs. Forbidden band is related to the conduction mode under the different conditions, and is also related to the type of lattice structure and the order in which the electromagnetic wave enters the column of the incident surface. The related conclusions provide a new theoretical basis for expanding the application of two-dimensional photonic crystals.