Regularization of the 2D TE-EFIE for homogeneous objects discretized by the Method of Moments with discontinuous basis functions

Abstract

The discretization of the Electric-Field Integral Equation (EFIE) by the Method of Moments (MoM) for a transversal electric (TE) illuminating wave impinging on an infinitely long cylinder (2D-object) is traditionally carried out with continuous piecewise linear basis functions. In this paper, we present a novel discretization of the TE-EFIE formulation for the scattering analysis of homogeneous, perfectly conducting 2D-objects based on the expansion of the currents around the line-boundary through discontinuous piecewise linear or piecewise constant basis functions. We show for several infinitely long cylinders, with smooth or sharp-edged sections, the good accuracy of the proposed approach in the computation of far-field and near-field quantities, such as RCS and currents, with respect to the observed accuracy in conventional continuous piecewise linear discretizations.Peer ReviewedPostprint (published version

Versatile and Accurate Schemes of Discretization in the Scattering Analysis of 2-D Composite Objects With Penetrable or Perfectly Conducting Regions

“…The resulting EFIE-PMCHWT implementation gives rise to hypersingular Kernel contributions, which we evaluate numerically by testing the electric -or magnetic -field equations, in the Transversal Electric (TE) -or Transversal Magnetic (TM) -implementations over domains off the boundary segmentation, inside the region where, in light of the surface equivalence theorem, the fields must be zero. Whereas the surface scheme [21] tests the fields over a set of trapezoids attached to the boundary, the tangential-normal scheme [22] makes use of a set of pairs of adjacent segments, such that one matches a boundary segment and the other one is normally oriented.…”