Intracell modeling of lumped elements using the composite-cell MRTD technique

In this paper a method is presented that allows the modeling of subcell lumped elements in Haar based multiresolution time-domain (MRTD). The method is applied through the use of a reconstruction/discrete wavelet transform algorithm that is integrated into the MRTD update scheme. A derivation of the MRTD method is presented for generic wavelet bases to demonstrate the application of the technique and suggest methods for using other wavelet bases. The Haar subcell technique is further presented as a bridge between point based updates (FDTD) and wavelet based multiresolution schemes (MRTD). Extensions of this technique include other point based algorithm modifications such as subcell PML and wire modeling.