Time Domain UTD-PO Solution for the Multiple Diffraction of Spherical Waves for UWB Signals

The time domain (TD) solution for the multiple diffraction of spherical waves after an arbitrary number of obstacles with different shapes such as knife-edges and wedges, is presented. The proposed TD solution is based on the representation of the inverse Laplace transform of the corresponding frequency domain solution in closed form, as it is given by a hybrid of the uniform theory of diffraction (UTD)-physic optics (PO) solution. The proposed formulation, validated with the results from technical literature, does not need to incorporate the TD version of the higher-order diffraction coefficients due to a recursive relation, thus significantly reducing both the mathematical complexity and computation time of the formulation when compared with other TD solutions.