3D Crank-Nicolson finite difference time domain method for dispersive media

H. K. Rouf; F. Costen; S. G. Garcia

doi:10.1049/el.2009.1940

3D Crank-Nicolson finite difference time domain method for dispersive media

H. K. Rouf, F. Costen, S. G. Garcia

Research output: Contribution to journal › Article › peer-review

Abstract

The unconditionally stable Crank-Nicolson finite difference time domain (CN-FDTD) method is extended to incorporate frequency-dependent media in three dimensions. A Gaussian-elimination-based direct sparse solver is used to deal with the large sparse matrix system arising from the formulation. Numerical results validate and confirm that the scheme is unconditionally stable for time steps over the Courant-Friedrich-Lewy limit of classical FDTD. © The Institution of Engineering and Technology 2009.

Original language	English
Pages (from-to)	961-962
Number of pages	1
Journal	Electronics Letters
Volume	45
Issue number	19
DOIs	https://doi.org/10.1049/el.2009.1940
Publication status	Published - 2009

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title = "3D Crank-Nicolson finite difference time domain method for dispersive media",

abstract = "The unconditionally stable Crank-Nicolson finite difference time domain (CN-FDTD) method is extended to incorporate frequency-dependent media in three dimensions. A Gaussian-elimination-based direct sparse solver is used to deal with the large sparse matrix system arising from the formulation. Numerical results validate and confirm that the scheme is unconditionally stable for time steps over the Courant-Friedrich-Lewy limit of classical FDTD. {\textcopyright} The Institution of Engineering and Technology 2009.",

author = "Rouf, \{H. K.\} and F. Costen and Garcia, \{S. G.\}",

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AU - Rouf, H. K.

AU - Costen, F.

AU - Garcia, S. G.

PY - 2009

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N2 - The unconditionally stable Crank-Nicolson finite difference time domain (CN-FDTD) method is extended to incorporate frequency-dependent media in three dimensions. A Gaussian-elimination-based direct sparse solver is used to deal with the large sparse matrix system arising from the formulation. Numerical results validate and confirm that the scheme is unconditionally stable for time steps over the Courant-Friedrich-Lewy limit of classical FDTD. © The Institution of Engineering and Technology 2009.

AB - The unconditionally stable Crank-Nicolson finite difference time domain (CN-FDTD) method is extended to incorporate frequency-dependent media in three dimensions. A Gaussian-elimination-based direct sparse solver is used to deal with the large sparse matrix system arising from the formulation. Numerical results validate and confirm that the scheme is unconditionally stable for time steps over the Courant-Friedrich-Lewy limit of classical FDTD. © The Institution of Engineering and Technology 2009.

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DO - 10.1049/el.2009.1940

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VL - 45

SP - 961

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JO - Electronics Letters

JF - Electronics Letters

IS - 19

ER -

3D Crank-Nicolson finite difference time domain method for dispersive media

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