摘要

Although the multiresolution time-domain (MRTD) scheme has excellent potential as a Maxwell solver, the numerical implementation of the time updating in this scheme in a region near an inhomogenous material interface, as well as the incorporation of boundary truncation on the shielded structure, is quite involved and prevents the extensive application of this method to complex geometries. In this paper we try to ease this computational burden, without sacrificing accuracy, by presenting a simplified version of the MRTD that employs a diagonal matrix approximation for material-related MRTD matrices. Additionally, we develop an automatic image generation (AIG) technique to truncate a perfectly electric conductor (PEC) shield or a hybrid PEC-open boundary for the image fields. The algorithm is validated for a number of shielded resonant cavity structures that are filled with different dielectric materials with varying sizes and orientations. It is found that the results presented in this work agree well with those obtained from analytical solutions and the application of the finite-difference time-domain (FDTD) method. The MRTD algorithm, presented herein, realizes considerable savings in memory and CPU time, in comparison to the conventional counterparts, while retaining the flexibility of the FDTD method.