Green's functions for vertical current sources embedded in uniform waveguides or cavities filled with multilayered media

Fast Summation of Double Infinite Modal Series Involved in Analysis of Shielded Microstrip Circuits

“…been discussed recently in [3] and [4]. Although the proposed approach gives us a possibility for inclusion of vertical metallizations in the full-wave analysis of shielded microstrip circuits, its efficient use is limited due to very slow convergence of the involved double infinite modal series.…”

“…Although the proposed approach gives us a possibility for inclusion of vertical metallizations in the full-wave analysis of shielded microstrip circuits, its efficient use is limited due to very slow convergence of the involved double infinite modal series. The effectiveness of the analysis depends mainly on the computational effort that is CMST 10(1) 101-109 (2004) DOI:10.12921/cmst.2004.10.01.101-109 gence of the resulting series is much more slower than that we need to cope in the case of horizontal metallizations [3]. In this contribution, we shall show that application of the contour integral and the residue theorem method in conjunction with Kummer's transformation allows the double infinite series to be evaluated very rapidly.…”

“…(1) describes the modal series associated with a diagonal entry of the MoM matrix, which, generally, requires the highest computational effort during the MoM matrix evaluation.All quantities in Eqs (2). and(3), which describe the geometry of the problem, i.e. a, b, x 0 , y 1 , y 2 and Δ z , are shown inFig.…”