A new finite-difference time-domain algorithm for the accurate modeling of wide-band electromagnetic phenomena

Abstract

Absfruct-A finite-difference time-domain (FDTD) method is described for the efficient solution of wide-band electromagnetic phenomena. The algorithm uses a second-order Lax-Wendroff finite difference algorithm in conjunction with the method of flux-corrected transport to suppress problems with dispersion that occur when solving Maxwell's equations using the standard second-order Yee finite-difference time-domain algorithm. Results are given comparing the accuracy of the Lax-WendroWCT method versus the Yee algorithm for propagating pulsed-type splane waves.

On the influence of corona on lightning-induced overvoltages

“…In [10], partial time and space derivatives were approximated using a 1st order FDTD scheme. In [26], instead, the use of a 2 nd order FDTD scheme based on the Lax-Wendroff algorithm [27,28] was proposed. The 2 nd order FDTD scheme shows much better stability compared to its 1 st order counterpart, especially when analyzing complex systems involving nonlinearities (e.g.…”

Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms

“…Other low-dispersion methods have been introduced which are not considered here. Some of these schemes, such as those presented by Omick and Castillo [22], Liu [23], Fujii and Hoefer [24], [25], and Dogaru and Carin [26], may posses certain properties that are comparable to, or even superior to, those of some of the algorithms considered here (though certainly no algorithm is universally superior to the others). Since time and space dictate limiting the number of algorithms reported, we have chosen algorithms based on the interest in the algorithm and/or the perceived benefits it has relative to others.…”

A Modified Liao's Absorbing Boundary Condition for FDTD Simulations in 2-D Cylindrical Coordinates with Rotational Symmetry

“…Liao's ABC [1][2][3][4][5] has been used successfully by several researchers [6][7][8][9]. One advantage of Liao's ABC over some others is that, because of its form, it is easy to implement even near the corners of a computation grid.…”