Accurate FDTD wavelet-Galerkin representation of field singularities near conductive wedges

Abstract

A novel hybrid technique for the precise representation of field singularities generated by hard to model geometrical peculiarities, such as arbitrarily angled conductive wedges, is presented. Its primary concept lies in the combined implementation of the FDTD method and the wavelet (Daubechies' basis)-Galerkin formulation in different, distinct areas of the computational domain. The robustness and simplicity of the former, used in regions of smooth field variations, and the ability of the latter, utilised near discontinuities, to efficiently simulate highly varying phenomena, allow the precise treatment of sharp wedges. Hence, the proposed algorithm yields sufficiently accurate coarse grid results and short time-advancing intervals, as the numerical verification reveals