Development of a reduced dispersion-error method for the efficient treatment of time-dependent electromagnetic wave interactions

A consistent technique for the highly accurate solution of partial differential equations (PDEs) that control the advancement of various electromagnetic field problems is presented in this paper. The new algorithm secedes from the rigid finite-differencing framework of most mainstream time-domain approaches, casting all governing PDEs into space-time form to obtain a robust temporal update process. Spatial discretization, on the other hand, is conducted by truncating the proper Fourier spectrum via a windowing operation and inversion of the ensuing filtered series. So, the proposed schemes allow the stable extraction of discrete transfer-function equivalents and decrease the overall dispersion error, as proven by various instructive applications