Algorithms for Wavefront Reconstruction
Abstract
Knowing the solution to Helmholtz equation in a narrow band, with a width of order wave length around a scatterer, we investigate the possibility to construct the wave fronts predicted by the asymptotic methods Geometrical Optics (GO) and Geometrical Theory of Diffraction (GTD). More specifically we show how to build a polynomial approximation of the asymptotic solution on a circle around the scatterer and hence, in a second step, be able to propagate this solution by wavefront construction methods or standard ray-tracing.