Multiple time-domain diffraction of plane waves by an array of perfectly conducting wedges for UWB signals

Abstract

The time domain (TD) solution for multiple wedge diffraction case considering plane wave incidence is investigated. The proposed TD solution is based on the representation of the inverse Laplace transform of the corresponding frequency domain (FD) solution in closed form, as it is given by a hybrid of the uniform theory of diffraction (UTD)-physic optics (PO) solution. An algorithm to predict the TD diffracted field after an arbitrary number of perfectly conducting wedges having different interior angles is presented. The algorithm has the major advantage of saving the computation time over the existing formulation when the number of wedges is very large. The source is assumed to be above, bellow, or level with the wedge height. The proposed TD solution is validated with the numerical inverse fast Fourier transform of the FD solution.