Time-domain MoM for the scattering analysis of thin-wire structures within a ground using band-limited Second-Order Lagrange temporal basis functions

The transient scattering of a thin wire buried in a half-space is calculated by a novel Time-Domain Mixed Potential Integral Equation (TD-MPIE), using complex-time Green's functions. The TD-MPIE is solved by MoM in time domain along with a Marching-On-in-Time (MOT) procedure. The excitation is a Gaussian plane wave and Band-Limited Second-Order Lagrange (BL-2L) functions are used as Temporal Basis Functions (TBFs). Numerical results show that the solution using BL-2L TBFs is stable and accurate, without late-time instabilities, and efficient in computation.