Jm. Gil et Jp. Webb, A NEW EDGE ELEMENT FOR THE MODELING OF FIELD SINGULARITIES IN TRANSMISSION-LINES AND WAVE-GUIDES, IEEE transactions on microwave theory and techniques, 45(12), 1997, pp. 2125-2130
Edge finite elements are widely used in the analysis of waveguides and
transmission lines, They have tangential continuity and they do not p
roduce spurious modes, However, they cannot model the singular behavio
r of the transverse fields in the neighborhood of sharp edges, This fa
ct Limits the accuracy of the representation of the fields and the ord
er of convergence of the method, In this paper, we present a new edge
element in which the singular approximation of the three fields compon
ents and the correct modeling of the curl is incorporated. The develop
ment of the basis functions is described, Some numerical results for w
aveguides with sharp metal edges are shown in order to validate this t
heory.