In this letter, we adopt a new procedure in the calculation of the layered Green's functions in the rectangular waveguide structure. In this procedure, the surface-wave poles are extracted first, and then the generalized pencil-of-function (GPOF) method is applied to approximate the spectral-domain Green's function along the real axis of the plane directly. Because no branch point is introduced in this procedure, improvement can be achieved compared to the traditional discrete complex image method (DCIM). In order to make this procedure more accurate and robust in both near-and far-field regions, a specially devised multiple-times GPOF procedure is applied to approximate the spectral-domain Green's function. Numerical results in this letter demonstrate the accuracy of our method.Index Terms-Discrete complex image method (DCIM), generalized pencil-of-function method (GPOF), GE's method, multilayered Green's function, rectangle waveguide.
The improved GE method has been used to evaluate the spatial-domain Green's function of the shielded structures. However, for some cases, the spectral-domain Green's function decays slowly and is very difficult to be accurately approximated by the GPOF used in the improved GE method. This subsequently deteriorates the accuracy and stability of this method. In this paper, we devise a scheme that the GPOF is applied for multiple times to approximate the spectral-domain Green's function. Numerical results have shown that the spectral-domain Green's function can be better approximated and thus the accuracy of spatial-domain Green's function is improved.
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