NDLI: Instable 3D ADI-FDTD open-region simulation

Content Provider	IEEE Xplore Digital Library
Author	Kermani, M.H. Ramahi, O.M.
Copyright Year	2005
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Maryland Univ., College Park, MD (Kermani, M.H.; Ramahi, O.M.)
Abstract	The alternating direction implicit finite-difference time-domain (ADI-FDTD) method has been introduced as an unconditionally stable FDTD algorithm. It was shown through numerous works that the ADI-FDTD algorithm is stable both analytically and numerically even when the Courant-Friedrich-Levy (CFL) limit is exceeded. However, in open-region radiation problems, mesh-truncation techniques or absorbing boundary conditions (ABCs) are needed to terminate the boundary. These truncation techniques represent, in essence, differential operators that are discretized using a distinct differencing scheme. When solving open-region problems, the boundary scheme is expected to affect the stability behavior of the ADI-FDTD simulation regardless of its theoretical imperatives. In our previous work we showed that implementing 3rd order Higdon's in 2D ADI-FDTD scheme causes instability. In this work, we extend the work to three-dimensional (3D) space and show that the 3D ADI-FDTD method also can be rendered instable when higher-order mesh truncation techniques are used such as Higdon's operators. This finding shows that the stability of any finite-difference time-domain based scheme cannot be studied independently of the mesh-truncation methods essential for simulation of open-region problems
Starting Page	142
Ending Page	145
File Size	367838
Page Count	4
File Format	PDF
ISBN	0780388836
DOI	10.1109/APS.2005.1551505
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-07-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite difference methods Time domain analysis Computational modeling Stability Boundary conditions Maxwell equations Electromagnetic scattering Educational institutions Algorithm design and analysis Integral equations
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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