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A More Accurate, Stable, FDTD Algorithm for Electromagnetics in Anisotropic Dielectrics | | Gregory R. Werner
; Carl A. Bauer
; John R. Cary
; | | Date: |
19 Dec 2012 | | Abstract: | A more accurate, stable, finite-difference time-domain (FDTD) algorithm is
developed for simulating Maxwell’s equations with isotropic or anisotropic
dielectric materials. This algorithm is in many cases more accurate than
previous algorithms (G. R. Werner et. al., 2007; A. F. Oskooi et. al., 2009),
and it remedies a defect that causes instability with high dielectric contrast
(usually for epsilon{} significantly greater than 10) with either isotropic or
anisotropic dielectrics. Ultimately this algorithm has first-order error (in
the grid cell size) when the dielectric boundaries are sharp, due to field
discontinuities at the dielectric interface. Accurate treatment of the
discontinuities, in the limit of infinite wavelength, leads to an asymmetric,
unstable update (C. A. Bauer et. al., 2011), but the symmetrized version of the
latter is stable and more accurate than other FDTD methods. The convergence of
field values supports the hypothesis that global first-order error can be
achieved by second-order error in bulk material with zero-order error on the
surface. This latter point is extremely important for any applications
measuring surface fields. | | Source: | arXiv, 1212.4857 | | Services: | Forum | Review | PDF | Favorites | |
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