An enhanced TDIE solver using causal-delayed temporal basis functions and curvilinear RWG spatial basis functions

An enhanced time domain integral equation (TDIE) solver is proposed for analysis of transient scattering problems. It entails the use of causal-delayed temporal basis functions and curvilinear Rao-Wilton-Glisson (RWG) basis functions, both of which have the potential to reduce the number of unknowns. The causal-delayed temporal basis functions have twofold effects: one is causally to eliminate the spurious solutions created before the incident wave arrives, and the other is dynamically to extract the phase variations of the induced currents on the scatterer. The curvilinear triangular patches can increase the modeling precision than the planar ones. Numerical results show that, a combined use of the improved temporal and spatial basis functions can greatly reduce the number of unknowns and thus save the core memory resource and computing time for general 3D bodies.