平面多层介质空域紧闭格林函数的通用形式

The general form of the spatial-domain closed form Green's functions for planar multilayered media

通过传输线方法推导出多层介质谱域格林函数的计算公式,并采用二级离散复镜像方法计算其空域表达形式.使用二级离散复镜像方法勿需表面波项和准静态项的提取,避免费时的索末菲尔德(Sommerfeld)积分,对于任意介质层数以及场点与源点所在的位置,实现其紧闭格林函数的通用形式,为微带问题的研究计算提供了方便,该论文计算结果与直接数值积分法以及相关文献相比证明了其正确性.

Here, the method of transmission line was used to derive the formulas of Green＇s functions in spectral domain for muhilayered media, and the two-level discrete complex image method （DCIM） was employed to obtain the spatial-domain Green＇s functions. When the two-level DCIM method was used, the quasi-static images and surface waves didn＇t have to be extracted, which avoided calculating the timeconsuming Sommerfeld＇s integrals. For arbitrary numbers of layers media and the location of the source and field points, the method was used to realize the general form of closed-form Green＇s functions. The convenience was provided for analyzing microstrip problem in the paper. The accuracy of the calculating results in the paper was confirmed by comparison with direct numerical integral and relevant literature.