A wavelet-transformed finite-difference time-domain scheme with a static multi-resolution grid

Recently an effective implementation for wavelet transformed operators on three-dimensional data was derived. This novel data structure is used to transform an FDTD scheme with a fast WT into a multi-resolution version. Our approach combines the favorable characteristics, tics of a FDTD scheme and the possibility to resolve the electromagnetic field on locally different resolutions. Since small wavelet coefficients are not updated during the time loop the six field components are computed within such a multi-scale grid instead of the single-resolution Yee grid of FDTD. Finally, resonator structures have been simulated to evaluate the efficiency and applicability of our approach.