Numerical dispersive characteristics and stability condition of the multi-resolution time-domain (MRTD) method

The numerical dispersive characteristics and the stability condition of the multi-resolution time-domain (MRTD) method are calculated. A dispersion analysis of the MRTD schemes including a comparison to Yee's (1966) finite-difference time-domain (FDTD) method is given. The superiority of the MRTD method to the spatial discretization is shown. The results show that the required computational memory can be reduced by using the MRTD method. The MRTD method is a very useful method for the numerical modelling of electromagnetics.