L. Cascio et al., A QUASI-STATIC MODIFICATION OF TLM AT KNIFE EDGE AND 90-DEGREES WEDGESINGULARITIES, IEEE transactions on microwave theory and techniques, 44(12), 1996, pp. 2519-2524
A common drawback of numerical techniques such as transmission line me
thod (TLM) and finite-difference time-domain method (FDTD) resides in
the difficulty to accurately describe the electromagnetic field in str
uctures with singularities, In this paper a local modification of the
two-dimensional (2-D) TLM algorithm for the nodes surrounding a knife
edge and a 90 degrees wedge is proposed, A quasi-static approximation
of the field is used to derive an equivalent circuit of the edge, The
proposed theory is then extended to the characterization of infinitely
thin septa, the vertex of which is located anywhere between the nodes
of the TLM mesh, The proposed corner correction is compared with the
uncorrected TLM results and with data available in the literature, rev
ealing a marked enhancement in the accuracy and convergence of the res
ults.