Beam summation analysis of half plane diffraction

This scenario has been addressed within the analytical framework of the ultra wideband phase-space GBS method. In spite of the satisfactory field results, that formulation has been found to be inconvenient for the edge diffraction problem, mainly due to the fact that it utilizes a non-uniform angular lattice of beams that becomes increasingly denser for large tilt angles. To overcome these difficulty this paper analyzes a similar problem using the GBS scheme which is more convenient for localized scatterers. In this paper the spectral function that controls the GB2GB scattering matrix is derived and a numerical demonstration is presented