Implementation of FDTD-Compatible Green´s Function on Graphics Processing Unit

In this letter, implementation of the finite-difference time domain (FDTD)-compatible Green´s function on a graphics processing unit (GPU) is presented. Recently, closed-form expression for this discrete Green´s function (DGF) was derived, which facilitates its applications in the FDTD simulations of radiation and scattering problems. Unfortunately, implementation of the new DGF formula in software requires a multiple precision arithmetic and may cause long runtimes. Therefore, we propose an acceleration of the DGF computations on a GPU employing the multiple precision arithmetic and the CUDA technology. We have achieved sixfold speedup relative to the reference DGF code executed on a multicore central processing unit. Results indicate that GPUs also represent an inexpensive source of computational power for accelerated DGF computations requiring the multiple precision arithmetic.