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基于拉伸坐标完全匹配层(SC-PML)公式和Z变换方法,提出以非分裂场形式来实现具有多极点的高阶完全匹配层的高效算法,来截断时域有限差分(FDTD)网格.在吸收性能方面,高阶PML同时具有传统PML和复频率偏移完全匹配层(CFS-PML)二者的优点.提供的数值算例是二维TE极化电磁波与无限长且有限宽度的理想电导体(PEC)薄片的相互作用.仿真结果显示,高阶PML公式在衰减低频行波和隐失波及减少后期反射方面效果好,比传统SC-PML和复频率偏移的卷积完全匹配层(CPML)算法有更好的吸收性能.
Based on the SC-PML formula and the Z-transform method, an efficient algorithm to realize a higher-order perfect matching layer with multiple poles in the form of non-splitting field is proposed to cut off the finite difference time-domain (FDTD) grid In terms of absorption performance, the high-order PML has the advantages of both traditional PML and complex frequency offset perfect matching layer (CFS-PML). The numerical examples provided are two-dimensional TE polarized electromagnetic waves with infinite and finite width The simulation results show that the high-order PML formula is effective in attenuating the low-frequency traveling wave and the hidden wave and reducing the post-reflection, which completely matches the convolution of the traditional SC-PML and the complex frequency offset Layer (CPML) algorithm has better absorption performance.