Stability comparison between Multi-Resolution Time-Domain (MRTD) and Finite-Difference Time-Domain (FDTD) techniques

The multi-resolution time-domain (MRTD) technique is a superior numerical algorithm over the long established finite difference time-domain (FDTD) technique. The advantages of low numerical dispersion and less memory intensive are particularly of interest for analyzing hybrid structures involving antennas and metamaterials. In this paper, the Haar wavelet based MRTD is reviewed. A stability comparison between MRTD and FDTD is presented in two-dimensional simulations with various configurations involving layered dielectric cylinders. The superiority of MRTD over FDTD is demonstrated.