A generalized method for the computation of the outgoing-to-local multipole translators

This paper presents a refinement to the hierarchical multilayer fast multipole method (HMFMM) we developed previously (see Pan, Y.C. and Chew, W.C., Microwave Opt. Tech. Lett., vol.27, p.13-17, 2000). In HMFMM, the image outgoing-to-local multipole translator is calculated using the image theory, which requires knowledge of the location and strength of all the images. Such an approach is difficult to apply to media where three or more layers are present. We have developed a generalized approach that resolves this difficultly.