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基于偶极子场理论,经过4个基本函数重构所有的矢量势和标量势谱域Green函数,并利用二级离散复镜像方法和高阶Sommerfeld恒等式,提出一种平面多层介质中的空域Green函数的高效算法.算法的优势在于:避免了利用传输线理论时需重写谱域Green函数各个分量,从而在不改变当前积分路径的前提下,直接提取表面波的影响,得到近区场和远区场都适用的空域Green函数,同时,有效地避免了电磁场混合势积分方程中电流(磁流)产生磁场(电场)的旋度因子,十分方便分析平面分层介质中三维结构的电磁散射和辐射特征.通过平面微带周期光子带隙(PBG)结构的S参数、大型微带天线阵列的雷达散射截面和平面分层介质中具有三维结构的目标的辐射场、散射场特性的数值分析,证明算法的有效性和正确性.
Based on the dipole field theory, all the vector and scalar Green spectral functions were reconstructed by four basic functions. By using the second-order discrete complex mirror method and the high-order Sommerfeld identity, a spatial domain in planar multilayered media Green’s function.The algorithm has the advantages of avoiding the need to rewrite the components of the spectral Green function when using the transmission line theory and directly extracting the influence of the surface wave without changing the current integral path, Far field, and effectively avoids the curl factor of the magnetic field (electric field) generated by the current (magnetic current) in the mixed-potential equation of the electromagnetic field. It is very convenient to analyze the electromagnetic scattering of the three-dimensional structure in the planar layered medium And radiation characteristics.The numerical analysis of the radiation field and the scattering field of the target with the three-dimensional structure in S-parameters of the planar microstrip periodic photonic bandgap (PBG) structure, the radar cross section of the large microstrip antenna array and the target in the planar layered medium , Prove the validity and correctness of the algorithm.