Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method

Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method

Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the...

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Veröffentlicht in:IEICE Transactions on Electronics 2024/11/01, Vol.E107.C(11), pp.494-496
Hauptverfasser: KAWAHARA, Akira, SHIBAYAMA, Jun, FUJITA, Kazuhiro, YAMAUCHI, Junji, NAKANO, Hisamatsu
Format: Artikel
Sprache:eng
Schlagworte:
amplification matrix
Crank-Nicholson method
Dimensional analysis
eigenvalue
Eigenvalues
FDTD
Finite difference time domain method
ICN
numerical dispersion
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Zusammenfassung:Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the matrix. It is shown that the ICN-FDTD method is conditionally stable but slightly dissipative.
ISSN:0916-8524
1745-1353
DOI:10.1587/transele.2023ESS0004