Title :
A nonorthogonal higher-order wavelet-oriented FDTD technique for 3-D waveguide structures on generalized curvilinear grids
Author :
Kantartzis, Nikolaos V. ; Kosmanis, Thedoros I. ; Yioultsis, Traianos V. ; Tsiboukis, Theodoros D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Aristotelian Univ. of Thessaloniki, Greece
fDate :
9/1/2001 12:00:00 AM
Abstract :
A generalized higher-order FDTD rendition of the covariant and contravariant vector component theory for the accurate modeling of complex waveguides in 3-D nonorthogonal curvilinear coordinates, is presented in this paper. The novel algorithm, which postulates conventional and nonstandard concepts, embodies a spatially-localized wavelet-Galerkin formulation in order to efficiently deal with fast field variations in the vicinity of arbitrarily-angled wedges. The proposed method is combined with a pulsed excitation and enhanced unsplit-field PMLs thus, achieving significant accuracy and suppression of all discretization errors with a simultaneous diminishment of computational resources, as indicated by various numerical results
Keywords :
Galerkin method; finite difference time-domain analysis; waveguide components; waveguide theory; wavelet transforms; 3D nonorthogonal curvilinear coordinates; 3D waveguide structures; accurate modeling; arbitrarily-angled wedges; complex waveguides; contravariant vector component theory; covariant vector component theory; discretization errors suppression; enhanced unsplit-field PMLs; fast field variations; generalized curvilinear grids; higher-order FDTD technique; nonorthogonal FDTD technique; pulsed excitation PMLs; spatially-localized wavelet-Galerkin formulation; wavelet-oriented FDTD technique; Continuous wavelet transforms; Finite difference methods; Lattices; Microwave devices; Shape; Solid modeling; Time domain analysis; Waveguide components; Waveguide theory; Wavelet transforms;
Journal_Title :
Magnetics, IEEE Transactions on
