A nonorthogonal higher-order wavelet-oriented FDTD technique for 3-D waveguide structures on generalized curvilinear grids

A generalized higher-order FDTD rendition of the covariant and contravarian t vector component theory for the accurate modeling of complex waveguides i n 3-D nonorthogonal curvilinear coordinates, is presented in this paper. Th e novel algorithm, which postulates conventional and nonstandard concepts, embodies a spatially-localized Wavelet-Galerkin formulation in order to eff iciently deal with fast field variations in the vicinity of arbitrarily-ang led wedges. The proposed method is combined,with a pulsed excitation and en hanced unsplit-field PMLs thus, achieving significant accuracy and suppress ion of all discretization errors with a simultaneous diminishment of comput ational resources, as indicated by various numerical results.