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Title: Generalized stability criterion of 3-D FDTD schemes for doubly lossy media
Authors: Heh, Ding Yu
Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2010
Source: Heh, D. Y., & Tan, E. L. (2010). Generalized stability criterion of 3-D FDTD schemes for doubly lossy media. IEEE Transactions on Antennas and Propagation, 58(4), 1421-1425. doi:10.1109/tap.2010.2041175
Journal: IEEE Transactions on Antennas and Propagation
Abstract: This paper presents the generalized stability criterion of 3-D finite-difference time-domain (FDTD) schemes for doubly lossy media, where both electric and magnetic conductivities coexist. The generalized stability criterion is applicable for all 3-D FDTD schemes, such as time-average (TA), time-forward (TF), time-backward (TB) and exponential time differencing (ETD). It is reducible to either electrically lossy, magnetically lossy or lossless media. The stability criterion for perfectly matched layer (PML) matching condition can also be obtained as a special case to the doubly lossy media. It is shown that, for doubly lossy media, the stability criterion for ETD and TF becomes even more relaxed, and for TB, even more stringent compared to either electrically lossy, magnetically lossy or lossless media. On the other hand, the stability criterion for TA remains unchanged even in doubly lossy media. As numerical demonstration, the tunneling of electromagnetic wave through a very thin doubly lossy conductor is simulated. Numerical experiments further show the maximum allowed time step as dictated by the derived stability criterion for different schemes.
ISSN: 0018-926X
DOI: 10.1109/TAP.2010.2041175
Schools: School of Electrical and Electronic Engineering 
Rights: © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
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