Title :
A 3-D tensor FDTD-formulation for treatment of sloped interfaces in electrically inhomogeneous media
Author :
Nadobny, Jacek ; Sullivan, Dennis ; Wlodarczyk, Waldemar ; Deuflhard, Peter ; Wust, Peter
Abstract :
A general integral finite-difference time-domain (FDTD) formulation on cubical grids for the modeling of electrically inhomogeneous media of arbitrary shape is derived. The simple cubical structure is maintained and no modifications of the integral paths are necessary. Instead, a three-dimensional tensor relationship between the average electric flux density and electric field is determined beforehand and used during the simulation to account for discontinuities in the neighborhood of sloped interfaces. The accuracy of the method is confirmed by comparisons with analytical solutions.
Keywords :
dielectric bodies; electric fields; electromagnetic wave propagation; finite difference time-domain analysis; inhomogeneous media; permittivity; tensors; 3D tensor FDTD-formulation; average electric field; average electric flux density; cubical grids; electrically inhomogeneous media; finite-difference time-domain formulation; integral FDTD formulation; layered dielectric sphere; permittivity tensor; plane EM wave; simulation; sloped interface discontinuities; three-dimensional tensor; Dielectric constant; Dielectric materials; Finite difference methods; Material properties; Nonhomogeneous media; Permeability; Permittivity; Shape; Tensile stress; Time domain analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2003.814733
