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提取表面波的DCIM能够准确计算无耗分层媒质中的空域格林函数。然而,多层媒质表面波极点的提取比较困难,并且此方法没有考虑侧面波在远区的作用。本文基于复变函数理论,严格分析了Sommerfeld积分极点和支点奇异性对远场的影响;将PSO(particle swarm optimization)与Newton-Raphson算法相结合,提出一种快速精确定位表面波极点的方法,并将其应用到提取表面波的三级DCIM,实现了分层媒质空域格林函数的准确计算。通过单层无耗介质和四层有耗介质微带结构空域格林函数的计算实例,证明了该方法的正确性和有效性。
The DCIM extracting surface waves can accurately calculate the space-domain Green’s function in the lossless stratified medium. However, the extraction of the surface wave poles in multi-layer media is more difficult, and this method does not consider the effect of the side waves in the far area. In this paper, based on complex variable function theory, the influence of Sommerfeld integral pole and pivot singularity on far field is strictly analyzed. By combining particle swarm optimization (PSO) and Newton-Raphson algorithm, a method for fast and accurate positioning of surface wave pole is proposed. The proposed method is applied to the three-level DCIM, which extracts the surface wave and realizes the accurate calculation of the Green’s function of layered media. The correctness and validity of this method are proved by the calculation examples of the single-layer lossless medium and the four-layer Green’s function of the microstrip-structured spatial microstructure.