A higher order (2,4) scheme for reducing dispersion in FDTD algorithm

Author

Lan, Kang ; Liu, Yaowu ; Lin, Weigan

Author_Institution

Inst. of Appl. Phys., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

41

Issue

2

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

160

Lastpage

165

Abstract

A finite-difference time-domain (FDTD) scheme with second-order accuracy in time and fourth-order in space is discussed for the solution of Maxwell´s equations in the time domain. Compared with the standard Yee (1966) FDTD algorithm, the higher order scheme reduces the numerical dispersion and anisotropy and has improved stability. Dispersion analysis indicates that the frequency band in which the higher order scheme yields an accurate solution is widened on the same grid, this means a larger space increment can be chosen for the same excitation. Numerical results show the applications of the scheme in modeling wide-band electromagnetic phenomena on a coarse grid

Keywords

Maxwell equations; finite difference time-domain analysis; numerical stability; FDTD algorithm; Maxwell´s equations; Yee FDTD algorithm; accurate solution; anisotropy; coarse grid; dispersion analysis; dispersion reduction; excitation; finite-difference time-domain; fourth-order; frequency band; higher order difference formulas; higher order scheme; numerical dispersion; numerical results; second-order accuracy; space increment; stability; time domain solution; wide-band electromagnetic phenomena; Dielectric constant; Electromagnetic compatibility; Finite difference methods; Frequency; NIST; Notice of Violation; TEM cells; Time domain analysis; US Department of Commerce; Virtual manufacturing;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/15.765109

Filename

765109