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

Akira KAWAHARA; Jun SHIBAYAMA; Kazuhiro FUJITA; Junji YAMAUCHI; Hisamatsu NAKANO

doi:10.1587/transele.2023ESS0004

This article has now been updated. Please use the final version.

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

Akira KAWAHARA, Jun SHIBAYAMA, Kazuhiro FUJITA, Junji YAMAUCHI, Hisamatsu NAKANO

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Keywords: FDTD, ICN, Amplification matrix, eigenvalue, numerical dispersion

JOURNAL FREE ACCESS Advance online publication

Article ID: 2023ESS0004

DOI https://doi.org/10.1587/transele.2023ESS0004

The final version of this article is now available: Vol. E107.C (2024), No. 11 pp. 494-496

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Abstract

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.

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