Title :
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
fDate :
2/1/2002 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation Magazine, IEEE
