On uniform versus non-uniform sampling of far-field patterns in the plane wave time domain algorithm

PWTD (plane wave time domain) formulations that arise from nonuniform and uniform sampling of transient plane wave patterns are presented and their advantages and disadvantages discussed. In addition, a hybrid scheme that optimally leverages the advantages of both sampling schemes across PWTD levels within a multilevel framework is presented. This hybrid scheme is argued to be especially suitable for parallel implementation. The accuracy of the proposed hybrid scheme is verified by a numerical example.