HYBRID TDIE-TDPO METHOD USING WEIGHTED LAGUERRE POLYNOMIALS FOR SOLVING TRANSIENT ELECTROMAGNETIC PROBLEMS

An e-cient and stable hybrid method, based on the time-domain integral equation (TDIE) and time-domain physical optics (TDPO), is developed for investigating transient radiation and scattering from perfectly electrical conducting (PEC) objects. It at flrst requires partitioning the PEC object surface into TDIE and TDPO regions, respectively. Then, a set of hybrid TDIE-TDPO equations is derived and solved using an adaptive marching-on-in- degree (MOD) method. The fast Fourier transforms (FFT)-based blocking scheme is further implemented into the proposed algorithm so as to reduce N 2 O dependence of the traditional MOD method to NO log 2 (NO), where NO is the highest order of the weighted Laguerre polynomials used for computation. Under such circumstances, its computational cost, in comparison with the full TDIE-MOD solver, is reduced signiflcantly. Several numerical examples are presented to demonstrate its accuracy and e-ciency in solving some typical transient electromagnetic problems.