IMPLEMENTATION AND APPLICATION OF THE SPHERICAL MRTD ALGORITHM

This paper illustrates an explicit multiresolution time-domain (MRTD) scheme based on Daubechiesʹ scaling functions with a spherical grid for time-domain Maxwellʹs equations. The stability and dispersion property of the scheme are investigated and it is shown that larger cells decrease the numerical phase error, which makes it significantly lower than FDTD for low and medium discretizations. Moreover, this technique is applied to the modeling of an air-filled spherical resonator, and numerical results demonstrate the effectiveness of the proposed algorithm.