A systematic and memory-saving scaling function based multiresolution scheme

We present a systematic and memory-saving algorithm to formulate a scaling function based multiresolution time domain (S-MRTD) scheme for electromagnetic applications. The algorithm retains simplicity of time domain leapfrog feature, employs a systematic image technique to truncate PEC or PMC boundaries, and requires only a little computation space to store effective dielectric constant matrices. We have validated the algorithm by analyzing a dielectric-loaded cavity, and observed an excellent agreement by comparing the derived results with those published in literature.