3D Weakly Conditionally Stable FDTD Method for Analyzing Periodic Structures

By dividing the 3D transformed Maxwell's equations into two parts and applying the Crank-Nicolson (CN) scheme to each part, four substep implicit procedures are obtained. After adjusting the order of four substeps, a weakly conditionally stable finite-difference time-domain (WCSFDTD) method is...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2013-07, Vol.61 (7), p.3917-3921
Main Authors: Wang, Jianbao, Zhou, Bihua, Chen, Bin, Gao, Cheng, Shi, Lihua
Format: Article
Language:English
Subjects:
Antennas
Applied classical electromagnetism
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite difference methods
Finite-difference time-domain
Fundamental areas of phenomenology (including applications)
Numerical stability
oblique incident
Periodic structures
Physics
Stability analysis
Three-dimensional displays
Time-domain analysis
weakly conditionally stable
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Summary:By dividing the 3D transformed Maxwell's equations into two parts and applying the Crank-Nicolson (CN) scheme to each part, four substep implicit procedures are obtained. After adjusting the order of four substeps, a weakly conditionally stable finite-difference time-domain (WCSFDTD) method is derived for solving the 3D problems of oblique incident plane wave on periodic structures. This method is very suitable for analyzing the problems which have fine structures in one or two directions, and the Courant-Friedrich-Levy (CFL) stability condition of it is more relaxed than that of the original held transformation methods. Numerical examples demonstrate that the presented technology is more efficient, especially at the high incident angle.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2013.2257651