A Novel Hybrid Implicit Explicit - Pseudospectral Time Domain Method for TMz Waves

A novel time domain method which is based on the hybrid implicit explicit (HIE) difference technique and pseudospectral (PS) scheme is presented for solving Maxwell's equations. The maximum time-step size in this method is only determined by one spatial discretization and the spatial discretization only needs two cells per wavelength. The 2-D formulation of the method is presented and the time stability condition of the method is demonstrated. This method is mainly useful in the simulations of electromagnetic problems which are both with fine structures and electrically large structure, which is demonstrated through numerical examples by comparing with the finite-difference time-domain (FDTD) method, HIE-FDTD method and alternating-direction implicit (ADI)-FDTD method.