Marching-on-in-Degree Method With Delayed Weighted Laguerre Polynomials for Transient Electromagnetic Scattering Analysis

The large cost of computing resources has become a bottleneck of the marching-on-in-degree (MOD) solver of time-domain integral equation (TDIE). A set of delayed weighted Laguerre polynomials is proposed to address this problem in this paper. By incorporating the phase propagation information into itself, the proposed temporal basis function can model the phase variation of the induced current at different places of the scatterer, leading to a great reduction in the spatial unknowns. Moreover, the curvilinear Rao-Wilton-Glisson (CRWG) basis functions are adopted for the spatial discretization to improve the modeling precision of curve surfaces. Numerical results show that the proposed method can greatly reduce the mesh density of the scatterer and save the computing resources. It is both stable and efficient for the transient scattering analysis of perfect electrically conducting (PEC) objects with large smooth surfaces.