A discrete-time uniform geometrical theory of diffraction for the fast transient analysis of scattering from curved wedges

In this paper a discrete time (DT) representation of Maxwell´s equations is employed to describe the time domain (TD) Maxwell´s equations in terms of matrix equations analogous to time harmonic Maxwell´s equations, which allows one to conveniently develop many TD solutions based on their frequency domain (FD) formulations. It was then employed to develop a TD version of the uniform geometrical theory of diffraction (UTD) (referred as DT-UTD) for the efficient electromagnetic transient analysis of scattering from perfectly conducting curved wedges. This DT-UTD retains the advantages of its corresponding FD UTD solution in several aspects including the form, ray physical picture and definitions of ray parameters. Furthermore, the transformation of the FD-UTD to the DT-UTD formulation can be easily achieved via a simple interpretation of notation. Numerical examples are presented to validate and illustrate the utilizations of this DT-UTD.