Unconditionally Stable FDTD Method for Solving Oblique Incident Plane Wave on Periodic Structures

For solving the problem of the oblique incident plane wave over planar periodic objects, an implicit finite-difference time-domain (FDTD) method is proposed by introducing the Crank-Nicolson (CN) scheme to the field transformation technique. Unlike the previous approaches of field transformation met...

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Bibliographic Details
Published in:IEEE microwave and wireless components letters 2011-12, Vol.21 (12), p.637-639
Main Authors: Wang, Jianbao, Zhou, Bihua, Chen, Bin, Shi, Lihua
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Crank-Nicolson scheme
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite difference method
Finite difference methods
Finite difference time domain method
Fundamental areas of phenomenology (including applications)
Handles
Mathematical analysis
Mathematical model
Maxwell equations
Microwaves
oblique incident plane wave
periodic structure
Periodic structures
Physics
Plane waves
Stability analysis
Time domain analysis
Transformations
unconditionally stable
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Summary:For solving the problem of the oblique incident plane wave over planar periodic objects, an implicit finite-difference time-domain (FDTD) method is proposed by introducing the Crank-Nicolson (CN) scheme to the field transformation technique. Unlike the previous approaches of field transformation method, this technique does not need to introduce additional field components to handle extra terms and is unconditionally stable as proved by a stability analysis. The accuracy and efficiency of the proposed method is verified by comparing with the split-field method.
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2011.2173181