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.