DocumentCode :
1172459
Title :
A systematic and topologically stable conformal finite-difference time-domain algorithm for modeling curved dielectric interfaces in three dimensions
Author :
Kosmanis, Theodoros I. ; Tsiboukis, Theodoros D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki, Greece
Volume :
51
Issue :
3
fYear :
2003
fDate :
3/1/2003 12:00:00 AM
Firstpage :
839
Lastpage :
847
Abstract :
A systematic conformal finite-difference time-domain (FDTD) algorithm for the direct modeling of dielectric interfaces in three dimensions is presented in this paper. The straightforward procedure is based on the proper reformation of the grid cells in the vicinity of the dielectric surface, leading thus to the creation of five-faced prisms on the primary grid, apart from the standard hexagonal ones. The new scheme overcomes any topological deficiency that forbids the contour path FDTD and conformal FDTD technique to directly simulate dielectric boundaries, since it maintains the lattice duality. Therefore, no instabilities, even late-time ones, are observed. On the other hand, the accuracy obtained, even with very coarse meshes, is very good as is proved by the numerical analysis of various resonance problems.
Keywords :
dielectric bodies; dielectric resonators; finite difference time-domain analysis; numerical stability; conformal FDTD algorithm; contour path FDTD algorithm; curved dielectric interface; dielectric resonator; grid structure; lattice duality; numerical simulation; three-dimensional model; topological stability; Dielectrics; Finite difference methods; Integral equations; Lattices; Maxwell equations; Numerical analysis; Resonance; Solid modeling; Time domain analysis; Two dimensional displays;
fLanguage :
English
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9480
Type :
jour
DOI :
10.1109/TMTT.2003.808617
Filename :
1191737
Link To Document :
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