Error-Controllable Scheme for the LOD-FDTD Method

• Published in: IEEE journal on multiscale and multiphysics computational techniques Vol. 7; pp. 135 - 141
• Main Authors: Nakazawa, Tasuku, Wu, Di, Kishimoto, Seiya, Shibayama, Jun, Yamauchi, Junji, Ohnuki, Shinichiro
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computational modeling; Computing time; Dispersion; Electromagnetic fields; Error control; fast inverse laplace transform; Finite difference methods; Finite difference time domain method; finite-difference complex-frequency-domain method; Frequency-domain analysis; Gold; locally one-dimensional method; Mathematical models; parallel computing; plasmonic device; Time-domain analysis; Tradeoffs; Waveguides
• ISSN: 2379-8815; 2379-8815
• DOI: 10.1109/JMMCT.2022.3181568

The implicit locally one-dimensional finite-difference time-domain (LOD-FDTD) method is useful for designing plasmonic devices and waveguide structures. By using a large timestep size, the implicit LOD-FDTD method can reduce the computational time; however, this involves a trade-off with accuracy. To overcome this trade-off, we propose an error-controllable scheme for the LOD-FDTD method, wherein the fast inverse Laplace transform is employed to generate the electromagnetic field in arbitrary time domain from that in complex frequency domain. Compared to the conventional LOD-FDTD method, our scheme provides higher accuracy with more efficient calculations.