An efficient spatial spectral integral-equation method for EM scattering from finite objects in layered media

We propose a mixed spatial spectral method aimed directly at aperiodic, finite scatterers in a layered medium. By using a Gabor frame to discretize the problem a straightforward and fast way to Fourier transform is available. The poles and branchcuts in the spectral-domain Green function can be avoided by representing the induced currents and Green function on a path deformed into the complex spectral domain