TY - JOUR
T1 - A simple approximation formula for numerical dispersion error in 2-D and 3-D FDTD method
AU - Sonoda, Jun
AU - Kaino, Keimei
AU - Sato, Motoyuki
N1 - Funding Information:
This work has been supported in part by JSPS KAKENHI 15H02997 and 15K12496.
Publisher Copyright:
© 2016 The Institute of Electronics, Information and Communication Engineers.
PY - 2016/7
Y1 - 2016/7
N2 - The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higherorder terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.
AB - The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated higherorder terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.
KW - Dispersion relation equation
KW - FDTD method
KW - Large scale analysis
KW - Numerical dispersion error
KW - Simple formula
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U2 - 10.1587/transele.E99.C.793
DO - 10.1587/transele.E99.C.793
M3 - Article
AN - SCOPUS:84976897460
SN - 0916-8524
VL - E99C
SP - 793
EP - 796
JO - IEICE Transactions on Electronics
JF - IEICE Transactions on Electronics
IS - 7
ER -