A Novel Pseudospectral Time Domain Method for Complex EM Simulations

A novel pseudospectral time-domain algorithm, combined with the discontinuous Galerkin method, is presented to simulate electromagnetic wave propagation in large-scale complex media. Compared with the edge-/curl-conforming-based finite element method, arbitrary high-order basis function is easily achieved by utilizing the nodal basis functions; compared with the conventional pseudospectral time-domain algorithm, this new algorithm is strictly long-time stable (>300 central periods) for non-orthogonal elements, in terms of both mathematical analysis and numerical experiments. In addition, both h- and p-adaptivity are supported by using the nonconformal-mesh-based domain decomposition method. Numerical examples include 3D full-waveform modeling of 5G electromagnetic pulse propagation in a bedroom (hundreds of wavelengths in each direction) and fully anisotropic heterogenous head-electromagnetics interaction.