NDLI: Numerical Dispersion Analysis of the Unconditionally Stable Three-Dimensional LOD-FDTD Method

Content Provider	IEEE Xplore Digital Library
Author	Ahmed, I. Eng-Kee Chua Er-Ping Li
Copyright Year	1963
Abstract	The numerical dispersion characteristics of the recently developed three-dimensional unconditionally stable locally- one-dimensional finite-difference time-domain (LOD-FDTD) method are derived analytically. The effect of grid size and the Courant Friedrich Lewy (CFL) limits on dispersion are studied in detail. The LOD-FDTD method allows larger time steps as compared to the conventional FDTD method (CFL limit). The analysis shows that the unconditionally stable three-dimensional LOD-FDTD method has an advantage over the conventional FDTD method when modeling structures that require fine grids. The LOD-FDTD method allows larger CFL numbers as long as the dispersion error remains in acceptable range.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	3983
Ending Page	3989
Page Count	7
File Size	1227921
File Format	PDF
ISSN	0018926X
Volume Number	58
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Dispersion Equations Finite difference methods Time domain analysis Stability analysis Propagation Photonics unconditional stability Alternating direction implicit-finite-difference time-domain (ADI)-FDTD Courant Friedrich Lewy (CFL) limit FDTD locally-one-dimensional finite-difference time-domain (LOD-FDTD) numerical dispersion
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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Development of the Three-Dimensional Unconditionally Stable LOD-FDTD Method

Numerical Dispersion Analysis With an Improved LOD–FDTD Method

An Efficient Method to Reduce the Numerical Dispersion in the LOD-FDTD Method Based on the (2, 4) Stencil

An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties

Development of the CPML for Three-Dimensional Unconditionally Stable LOD-FDTD Method

An Arbitrary-Order LOD-FDTD Method and its Stability and Numerical Dispersion

A Three-Dimensional Unconditionally Stable Five-Step LOD-FDTD Method

Convolutional Perfectly Matched Layer for an Unconditionally Stable LOD-FDTD Method

Mur Absorbing Boundary Condition for Three-Step 3-D LOD-FDTD Method

Numerical Dispersion Analysis of the Unconditionally Stable Three-Dimensional LOD-FDTD Method

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