Fast direct compression of the plane wave response matrix

It has recently been demonstrated that band-limited representations of localized solution modes provide an effective basis for accurate, compressed, direct representations of plane wave scattering from finite targets. The principle limitation of this previously reported compression strategy is the computational cost to determine the required basis of localizing modes. The present paper overcomes this limitation and outlines a fast, direct procedure for computing the response of finite targets to plane wave excitations. Numerical examples are included for TMz scattering from simple targets.