Phase error control for FD-TD methods of second and fourth order accuracy

Author

Petropoulos, Peter G.

Author_Institution

USAF Armstrong Lab., Brooks AFB, TX, USA

Volume

42

Issue

6

fYear

1994

fDate

6/1/1994 12:00:00 AM

Firstpage

859

Lastpage

862

Abstract

For FD-TD methods(used to solve Maxwell´s equations) we determine the spatial resolution of the discretized domain in terms of the total computation time and the desired phase error. It is shown that the spatial step should vary as Δx~g[e_φ/t_c] ¹s/ in order to maintain a prescribed phase error level e_φ throughout the computation time t_c, where s (=2 or 4) is the spatial order of accuracy of the scheme and g is a geometric factor. Significantly, we show that the rule of thumb of using 10-20 points per wavelength to determine the spatial cell size for the standard scheme is not optimal. Our results are verified by numerical simulations in two dimensions with the Yee (1966) scheme and a new fourth-order accurate FD-TD scheme

Keywords

Maxwell equations; finite difference time-domain analysis; FD-TD methods; Maxwell´s equations; discretized domain; fourth order accuracy; geometric factor; numerical simulations; phase error control; second order accuracy; spatial cell size; spatial resolution; spatial step; total computation time; Error correction; Finite element methods; Frequency estimation; Grid computing; Maxwell equations; Numerical simulation; Spatial resolution; Testing; Thumb; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.301709

Filename

301709