Title :
A Finite Volumes-Based 3-D Low Dispersion FDTD Algorithm
Author :
Hadi, Mohammed F.
Author_Institution :
Kuwait Univ., Safat
Abstract :
An algorithm extension to three dimensions is developed and presented for the highly phase-coherent modified second-order in time, fourth-order in space (or M24) finite-difference time-domain (FDTD) algorithm. A finite-volumes approach in conjunction with Yee´s standard FDTD lattice is used for algorithm development. The corresponding dispersion relation is also developed, analyzed and compared to both the standard second-order and fourth-order FDTD algorithms as well as to two closely related high-order phase-coherent algorithms. Wideband algorithm attributes are also presented as well as sets of ready to use optimized algorithm coefficients.
Keywords :
computational electromagnetics; dispersion relations; finite difference time-domain analysis; finite volume methods; 3-D low dispersion FDTD algorithm; M24 algorithm; Yee´s standard FDTD lattice; dispersion relation; finite-difference time-domain algorithm; finite-volumes approach; fourth-order FDTD algorithm; high-order phase-coherent algorithms; optimized algorithm coefficient; second-order FDTD algorithm; wideband algorithm; Algorithm design and analysis; Dispersion; Finite difference methods; Finite volume methods; Frequency; Lattices; Standards development; Time domain analysis; Two dimensional displays; Wideband; Electrically large structures; finite-difference time-domain (FDTD) methods; finite-volume methods; high-order schemes; numerical dispersion;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2007.901996