A discrete-time UTD formulation for the transient analysis of scattering from curved wedges

A discrete-time (DT) UTD formulation is proposed. It utilizes a time discretization to represent the time variation by simple basis functions, which may transform the scalar time Maxwell's equations into a set of matrix-type equations that are analog to the Maxwell equations of harmonic time dependence. As a result, the DT-UTD can be formulated from the FD-UTD via a simple notation transformation. The advantages are that it retains a form similar to FD solutions and translates the time convolutions into a simple matrix multiplication without going through complicate and difficult studies of special transition function behaviors. Numerical examples are presented to validate the DT-UTD solution.