Efficient Computing of Far-Field Radiation in Two Dimension

We deal with efficiently computing the far-field radiation/scattering by volumetric sources/objects. The approach consists of three steps: first, representation of “nonuniformly sampled” Fourier exponentials by a finite number of “uniformly sampled” ones, with such number controlling the accuracy; second, “pruned” fast Fourier transform; and third, interpolation, again with controlled accuracy, of the “uniformly sampled” exponentials onto the “nonuniformly sampled” ones corresponding to the relevant observation directions. The performance of the approach in terms of accuracy and complexity is evaluated.