Windowed equivalence principle for open surfaces

Abstract

Abstract-We introduce a modified current expansion scheme over open surfaces based on the equivalence theorem, which employs closed surfaces, in principle. Weighting the expansion coefficients with a suitable window function compensates for the computed field errors that occur because of the open surfaces. Numerical simulations demonstrate that the equivalent surface currents expanded with low-ordered basis functions on an open surface and weighted by suitable functions can be used to obtain the correct electromagnetic fields in a limited volume near the surface.

A modified equivalence principle for open surfaces

“…This type of windowing predominantly alleviates truncation errors for those surfaces with a circular symmetry, as discussed in [4]. But for a rectangular surface, we must consider sharp truncation at the edges, hence, we must transform the circularly symmetric Hanning window function to a centrally symmetric two-dimensional (2-D) version: where (A, B) and (a, b) are defined in Fig.…”