Multiple Time-Domain Diffraction for UWB Signals

The time-domain (TD) solution of the two-dimensional multiple-diffraction case is investigated. The proposed TD solution is based on the representation of the inverse Fourier transform of the corresponding frequency-domain (FD) solution in closed form, as it is given by the uniform theory of diffraction (UTD), and it incorporates the TD representation of the higher-order diffraction coefficients. An algorithm to predict the TD diffracted field after an arbitrary number of objects is also presented. In the proposed algorithm, different types of objects along the propagation path can be applied as well, such as absorbing knife-edges and metallic or nonperfectly conducting wedges. The comparison between the TD solution and the numerical inverse fast Fourier transform of the FD solution proves the validity of the proposed solution.

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