Convergence of the Hybrid Implicit-Explicit Single-Field FDTD Method Based on the Wave Equation of Electric Field

Kazuhiro FUJITA

doi:10.1587/transele.2021ESS0001

IEICE Transactions on Electronics

Online ISSN : 1745-1353
Print ISSN : 0916-8524

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

Convergence of the Hybrid Implicit-Explicit Single-Field FDTD Method Based on the Wave Equation of Electric Field

Kazuhiro FUJITA

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Keywords: FDTD, Crank-Nicolson scheme, wave equation, hybrid implicit-explicit, convergence

JOURNAL RESTRICTED ACCESS

2022 Volume E105.C Issue 11 Pages 696-699

DOI https://doi.org/10.1587/transele.2021ESS0001

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Abstract

The hybrid implicit-explicit single-field finite-difference time-domain (HIE-SF-FDTD) method based on the wave equation of electric field is reformulated in a concise matrix-vector form. The global approximation error of the scheme is discussed theoretically. The second-order convergence of the HIE-SF-FDTD is numerically verified.

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