Dispersion and maximum time step of 2D ADI and CN ID-FDTD

Hyun Kim, Woo Tae Kim, Il Suek Koh, Jong Gwan Yook

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper reviews ADI ID-FDTD and CN ID-FDTD methods, the implicit FDTD methods based on isotropic dispersion finite difference (IDFD) scheme reported in [1] and [2]. The dispersion relations of each method are derived by solving the eigenvalue problem of iteration matrix in spatial spectral domain, and it is identified to induce the equal dispersion relations that presented in [1] and [2] through Fourier analysis. In addition, the maximum time steps of ADI ID-FDTD and CN ID-FDTD methods are mentioned.

Original languageEnglish
Title of host publication2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD
DOIs
Publication statusPublished - 2007 Dec 1
Event2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD - Perugia, Italy
Duration: 2007 Oct 152007 Oct 17

Other

Other2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD
CountryItaly
CityPerugia
Period07/10/1507/10/17

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Fourier analysis

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Kim, H., Kim, W. T., Koh, I. S., & Yook, J. G. (2007). Dispersion and maximum time step of 2D ADI and CN ID-FDTD. In 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD [4373542] https://doi.org/10.1109/CEMTD.2007.4373542
Kim, Hyun ; Kim, Woo Tae ; Koh, Il Suek ; Yook, Jong Gwan. / Dispersion and maximum time step of 2D ADI and CN ID-FDTD. 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD. 2007.
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abstract = "This paper reviews ADI ID-FDTD and CN ID-FDTD methods, the implicit FDTD methods based on isotropic dispersion finite difference (IDFD) scheme reported in [1] and [2]. The dispersion relations of each method are derived by solving the eigenvalue problem of iteration matrix in spatial spectral domain, and it is identified to induce the equal dispersion relations that presented in [1] and [2] through Fourier analysis. In addition, the maximum time steps of ADI ID-FDTD and CN ID-FDTD methods are mentioned.",
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Kim, H, Kim, WT, Koh, IS & Yook, JG 2007, Dispersion and maximum time step of 2D ADI and CN ID-FDTD. in 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD., 4373542, 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD, Perugia, Italy, 07/10/15. https://doi.org/10.1109/CEMTD.2007.4373542

Dispersion and maximum time step of 2D ADI and CN ID-FDTD. / Kim, Hyun; Kim, Woo Tae; Koh, Il Suek; Yook, Jong Gwan.

2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD. 2007. 4373542.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - This paper reviews ADI ID-FDTD and CN ID-FDTD methods, the implicit FDTD methods based on isotropic dispersion finite difference (IDFD) scheme reported in [1] and [2]. The dispersion relations of each method are derived by solving the eigenvalue problem of iteration matrix in spatial spectral domain, and it is identified to induce the equal dispersion relations that presented in [1] and [2] through Fourier analysis. In addition, the maximum time steps of ADI ID-FDTD and CN ID-FDTD methods are mentioned.

AB - This paper reviews ADI ID-FDTD and CN ID-FDTD methods, the implicit FDTD methods based on isotropic dispersion finite difference (IDFD) scheme reported in [1] and [2]. The dispersion relations of each method are derived by solving the eigenvalue problem of iteration matrix in spatial spectral domain, and it is identified to induce the equal dispersion relations that presented in [1] and [2] through Fourier analysis. In addition, the maximum time steps of ADI ID-FDTD and CN ID-FDTD methods are mentioned.

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Kim H, Kim WT, Koh IS, Yook JG. Dispersion and maximum time step of 2D ADI and CN ID-FDTD. In 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD. 2007. 4373542 https://doi.org/10.1109/CEMTD.2007.4373542