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

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

doi:10.1109/CEMTD.2007.4373542

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 proceeding › Conference contribution

3 Citations (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 language	English
Title of host publication	2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD
DOIs	https://doi.org/10.1109/CEMTD.2007.4373542
Publication status	Published - 2007
Event	2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD - Perugia, Italy Duration: 2007 Oct 15 → 2007 Oct 17

Publication series

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

Other

Other	2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD
Country/Territory	Italy
City	Perugia
Period	07/10/15 → 07/10/17

All Science Journal Classification (ASJC) codes

Computational Theory and Mathematics
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/CEMTD.2007.4373542

Cite this

@inproceedings{50424212f1594e578196a2067fd6379c,

title = "Dispersion and maximum time step of 2D ADI and CN ID-FDTD",

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.",

keywords = "ADI, CN, Dispersion relation, FDTD, ID-FDTD, Isotropic dispersion",

author = "Hyun Kim and Kim, {Woo Tae} and Koh, {Il Suek} and Yook, {Jong Gwan}",

year = "2007",

doi = "10.1109/CEMTD.2007.4373542",

language = "English",

isbn = "142441170X",

series = "2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD",

booktitle = "2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD",

note = "2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD ; Conference date: 15-10-2007 Through 17-10-2007",

}

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, 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD, Perugia, Italy, 07/10/15. https://doi.org/10.1109/CEMTD.2007.4373542

TY - GEN

T1 - Dispersion and maximum time step of 2D ADI and CN ID-FDTD

AU - Kim, Hyun

AU - Kim, Woo Tae

AU - Koh, Il Suek

AU - Yook, Jong Gwan

PY - 2007

Y1 - 2007

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.

KW - ADI

KW - CN

KW - Dispersion relation

KW - FDTD

KW - ID-FDTD

KW - Isotropic dispersion

UR - http://www.scopus.com/inward/record.url?scp=50249159999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=50249159999&partnerID=8YFLogxK

U2 - 10.1109/CEMTD.2007.4373542

DO - 10.1109/CEMTD.2007.4373542

M3 - Conference contribution

AN - SCOPUS:50249159999

SN - 142441170X

SN - 9781424411702

T3 - 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD

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

T2 - 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD

Y2 - 15 October 2007 through 17 October 2007

ER -

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

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