TY - JOUR
T1 - Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, Part I
T2 - Theory
AU - Georgakopoulos, Stavros V.
AU - Birtcher, Craig R.
AU - Balanis, Constantine
AU - Renaut, Rosemary
N1 - Funding Information:
The authors would like to thank Dr. Celeste M. Belcastro and Truong Nguyen of NASA Langley Research Center, Hampton, VA, for their continued interest and support of this project. This work was supported by the NASA Grant NAG-1-1781 and Cooperative Agreement NCC-1-01051.
PY - 2002/2
Y1 - 2002/2
N2 - 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 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. Applications follow in the second part of this two-part paper.
AB - 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 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. Applications follow in the second part of this two-part paper.
KW - Electromagnetic radiation
KW - Electromagnetic scattering
KW - FDTD methods
KW - Numerical stability
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U2 - 10.1109/74.997945
DO - 10.1109/74.997945
M3 - Article
AN - SCOPUS:0036477271
SN - 1045-9243
VL - 44
SP - 134
EP - 142
JO - IEEE Antennas and Propagation Magazine
JF - IEEE Antennas and Propagation Magazine
IS - 1
ER -