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Generalized Alternating-Direction Implicit Finite-Difference Time-Domain Method in Curvilinear Coordinate System

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Author(s): Wei Song | Yang Hao

Journal: Journal of Electromagnetic Analysis and Applications
ISSN 1942-0730

Volume: 02;
Issue: 05;
Start page: 324;
Date: 2010;
Original page

Keywords: Alternating Direction Implicit Technique | Numerical Instability | Nonorthogonal FDTD

ABSTRACT
In this paper, a novel approach is introduced towards an efficient Finite-Difference Time-Domain (FDTD) algorithm by incorporating the Alternating Direction Implicit (ADI) technique to the Nonorthogonal FDTD (NFDTD) method. This scheme can be regarded as an extension of the conventional ADI-FDTD scheme into a generalized curvilinear coordinate system. The improvement on accuracy and the numerical efficiency of the ADI-NFDTD over the conventional nonorthogonal and the ADI-FDTD algorithms is carried out by numerical experiments. The application in the modelling of the Electromagnetic Bandgap (EBG) structure has further demonstrated the advantage of the proposed method.
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