Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration .1. Theory

Author

Georgakopoulos, Stavros V. ; Birtcher, Craig R. ; Balanis, Constantine A. ; Renaut, R.A.

Author_Institution

Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA

Volume

44

Issue

1

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

134

Lastpage

142

Abstract

Higher-order schemes for the finite-difference time-domain (FDTD) method are presented, in particular, a second-order-in-time, fourth-order-in-space method: FDTD(2,4). This method is compared to the original Yee (1966) FDTD scheme. One-dimensional update equations are presented, and the characteristics of the FDTD(2,4) scheme are investigated. Theoretical results for numerical stability and dispersion are presented, with numerical results for the latter, as well. The use of the perfectly matched layer for the FDTD(2,4) scheme is discussed, and numerical results are shown

Keywords

electromagnetic shielding; electromagnetic wave absorption; electromagnetic wave scattering; finite difference time-domain analysis; numerical stability; 1D update equations; 3D code; EM penetration; EM radiation; EM scattering; FDTD method; FDTD(2,2) scheme; FDTD(2,4) scheme; absorbing boundary conditions; electrically large problems; electromagnetic penetration; electromagnetic radiation; electromagnetic scattering; finite-difference time-domain method; higher-order finite-difference; low-dispersion methods; numerical dispersion; numerical stability; perfectly matched layer; second-order-in-time fourth-order-in-space method; shielding-effectiveness; three-dimensional code; Clocks; Electromagnetic propagation; Electromagnetic radiation; Electromagnetic scattering; Equations; Finite difference methods; Mathematics; Numerical stability; Perfectly matched layers; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.997945

Filename

997945