A Hierarchy of Explicit Low-Dispersion FDTD Methods for Electrically Large Problems
A framework for the construction of a hierarchy of explicit low-dispersion, low anisotropy FDTD algorithms is developed herein. The framework allows for the separation of dispersive and anisotropic effects due to a given explicit FDTD model construction using an extended stencil on a Yee-type staggered grid. Isotropic low-dispersion (2,4) and (4,4) FDTD algorithms are constructed by eliminating second-and fourth-order errors due to dispersion and anisotropy. The dispersive and anisotropic performance of these algorithms is compared to previously published schemes that fit within this hierarchical structure. The algorithms are examined for propagation of a wave pulse in an electrically large domain.
W. S. Smith et al., "A Hierarchy of Explicit Low-Dispersion FDTD Methods for Electrically Large Problems," IEEE Transactions on Antennas and Propagation, vol. 60, no. 12, pp. 5787-5800, Institute of Electrical and Electronics Engineers (IEEE), Dec 2012.
The definitive version is available at http://dx.doi.org/10.1109/TAP.2012.2209860
Electrical and Computer Engineering
Electromagnetic Compatibility (EMC) Laboratory
United States. Defense Threat Reduction Agency
United States. Department of Energy
Keywords and Phrases
Anisotropic Effects; Electrically Large; FDTD Algorithm; FDTD Model; Finite-Difference Time-Domain (FDTD) Methods; Fourth-Order; Hierarchical Structures; Low Anisotropy; Staggered Grid; Algorithms; Anisotropy; Finite Difference Time Domain Method; Time Domain Analysis; Dispersion (Waves); Electrically Large; Low Dispersion
International Standard Serial Number (ISSN)
Article - Journal
© 2012 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.