NDLI: Efficient unconditionally stable one-step leapfrog ADI-FDTD method with low numerical dispersion

Content Provider	IET Digital Library
Author	Kong, Yong Dan Chu, Qing Xin Li, Rong Lin
Abstract	An efficient unconditionally stable one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method based on the controlling parameters is presented. First, three controlling parameters are introduced to the matrices of the Maxwell's equations to decrease the numerical dispersion error, and then the formulation of an efficient one-step leapfrog ADI-FDTD method is derived. Second, the analysis shows that the proposed method is unconditionally stable. Moreover, the numerical dispersion relation of the proposed method is derived analytically. Third, the process of determination of the controlling parameters is shown. Furthermore, the effects of the propagation angle, mesh size, time step and frequency on the dispersion characteristics of the proposed method are also investigated. The result shows that the normalised numerical phase velocity error (NNPVE) and maximum NNPVE of the proposed method are decreased significantly. Finally, two numerical examples are simulated to demonstrate the accuracy and efficiency of the proposed method.
Starting Page	337
Ending Page	345
Page Count	9
ISSN	17518725
Volume Number	8
e-ISSN	17518733
Issue Number	Issue 5, Apr (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-map/8/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-map.2013.0269
Journal	IET Microwaves, Antennas & Propagation
Publisher Date	2013-12-17
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Alternating-direction-implicit Finite-difference Time-domain Method Controlling Parameter Dispersion (wave) Dispersion Characteristic Electromagnetic Wave Electromagnetic Wave Propagation Finite Difference Time-Domain Analysis Low-numerical Dispersion Maximum NNPVE Maxwell Equation Mesh Size Normalised Numerical Phase Velocity Error Numerical Approximation And Analysis Numerical Dispersion Error Numerical Dispersion Relation Numerical Method Propagation Angle Time Step Unconditionally-stable One-step Leapfrog ADI-FDTD Method
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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