NDLI: On the accuracy of the ADI-FDTD method

Content Provider	IEEE Xplore Digital Library
Author	Garcia, S.G. Tae-Woo Lee Hagness, S.C.
Copyright Year	2002
Abstract	We present an analytical study of the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method for solving time-varying Maxwell's equations and compare its accuracy with that of the Crank-Nicolson (CN) and Yee FDTD schemes. The closed form of the truncation error is obtained for two and three dimensions. The dependence of the truncation error on the square of the time step multiplied by the spatial derivatives of the fields is found to be a unique feature of the ADI-FDTD scheme. We illustrate the limitation on accuracy imposed by these truncation error terms by simulating a simple parallel-plate structure excited by a low-frequency voltage source. Excellent agreement is obtained between field data computed with the implicit CN scheme using time steps greatly exceeding the Courant limit and field data computed with the explicit Yee scheme. Such results are not obtained with ADI-FDTD.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	31
Ending Page	34
Page Count	4
File Size	251879
File Format	PDF
ISSN	15361225
Volume Number	1
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite difference methods Time domain analysis Finite wordlength effects Maxwell equations Electromagnetic fields Voltage Numerical stability Partial differential equations Electromagnetic analysis Electromagnetic modeling
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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