Photonic bandgap (PBG) and its defect mode are two representative characteristics of plasma photonic crystals (PPC), which make them have important industrial applications in photonic crystal waveguides, filters, antennas, and other devices. In this paper, we apply the symplectic multi-resolution time-domain (S-MRTD) scheme to analyze these two properties. Firstly, the characteristics of PBG are analyzed. Secondly, the characteristics of defect mode in the case of a single defect layer and multi-defect layers are adequately studied. Finally, two types of ternary PPC are further simulated. Numerical simulations demonstrate the feasibility and effectiveness of the proposed scheme, a desirable PBG and its defect mode can be obtained by altering the corresponding plasma parameters and dielectric parameters.

光子带隙（PBG）及其缺陷模式是等离子体光子晶体（PPC）的两个代表性特征，这使其在光子晶体波导，滤波器，天线和其他设备中具有重要的工业应用。在本文中，我们应用辛的多分辨率时域（S-MRTD）方案来分析这两个属性。首先，分析了PBG的特性。其次，对单缺陷层和多缺陷层情况下的缺陷模式特性进行了充分的研究。最后，进一步模拟了两种三元PPC。数值模拟表明了该方案的可行性和有效性，通过改变相应的等离子体参数和介电参数可以得到理想的PBG及其缺陷模式。