Analysis of radiation and scattering problems with the use of hybrid techniques based on the discrete Green´s function formulation of the FDTD method

In this contribution, simulation scenarios are presented which take advantage of the hybrid techniques based on the discrete Green´s function formulation of the finite-difference time-domain (DGF-FDTD) method. DGF-FDTD solutions are compatible with the finite-difference grid and can be applied for perfect hybridization of the FDTD method. The following techniques are considered: (i) DGF-FDTD for antenna simulations, (ii) DGF-based FDTD on disjoint domains, and (iii) hybrid technique combining FDTD and its convolution formulation based on DGF. The presented research employs the new formulation of the FDTD-compatible dyadic DGF derived with the use of scalar DGF and the multidimensional Z-transform. Its software implementation is straightforward because only elementary functions are involved and a single function requires computations in the multiple-precision arithmetic.