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

Special Section on Recent Advances in Simulation Techniques and Their Applications for Electronics

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

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2024 Volume E107.C Issue 11 Pages 494-496

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

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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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