Vector fitting realisation of exact time domain modal nonreflecting boundary condition

To employ the modal nonreflecting boundary condition (MNRBC) in cylindrical coordinates in the finite element time domain (FETD) method, a time domain kernel expression must be found that it is the inverse Laplace transform (ILT) of a known frequency domain function. The inverse Laplace transformation is achieved using a methodology based on the partial fraction expansion of the frequency domain function. However, to date, no FETD results have been published based on this MNRBC methodology. A simpler implementation of the methodology based on vector fitting (VF) is proposed. Using the VF approach, FETD-MNRBC results of plane wave scattering from a cylinder are presented for the first time