Direct time domain modeling of the transient field transmitted in a dielectric half-space for GPR applications

The paper deals with the study of a transient electric field transmitted into the dielectric half-space by means of the time domain analysis method. The time domain formulation is based on the space-time Hallen integral equation. The numerical solution is carried out via the space-time scheme of the Galerkin-Bubnov variant of the Indirect Boundary Element Method (GB-IBEM). Once determining the current along the dipole antenna, it is possible to determine the field reflected from the interface and the field transmitted into lower medium by solving the corresponding field integrals. Some illustrative numerical results for the reflected/transmitted field are presented in the paper.