Abstract
In this letter, the alternating-direction-implicit (ADI) technique is applied to Symplectic finite-difference time-domain (SFDTD) method, the curl operator is endued with two different styles when doing computation from the th progression to th progression. It holds the advantages of both ADI-FDTD and SFDTD, not only eliminating the restriction of the Courant-Friedrich-Levy (CFL), but also holding the inner characteristics of Maxwell’s equations. The analytical accuracy and efficiency of the proposed method is verified good.
Highlights
FDTD method is a very useful numerical simulation technique for solving electromagnetic questions
The traditional FDTD method is based on the explicit finite-difference algorithm, it is limited by Courant-Friedrich-Levy (CFL) stability condition
In the common ADI-FDTD method, the choice of large www.ccsenet.org/mas time intervals leads to substantial dispersion errors that degrade its performance
Summary
FDTD method is a very useful numerical simulation technique for solving electromagnetic questions. The traditional FDTD method is based on the explicit finite-difference algorithm, it is limited by Courant-Friedrich-Levy (CFL) stability condition. In order to eliminate the Courant–Friedrich–Levy (CFL) condition restraint, Unconditionally sTable algorithm ADL-FDTD( the alternating-direction-implicit technique finite difference time domain) has been proposed. FDTD and ADI-FDTD destroy Maxwell’s equations’ Symplectic structure, so they are not good algorithms for Maxwell’s equations’ numerical simulation. In this paper a novel algorithm that bases on SFDTD (symplectic finite difference time domain) and ADI has been proposed. We transform Maxwell’s equations to Hamilton’s equations, and use symplectic propagation technique disperse Hamilton’s equations in time domain, and use the ADI technique to discredited Hamilton’s equations’ curl operator R in spatial domain, we discuss the ADI-SFDTD algorithm’s stability and numerical dispersion systemically, we validate the proposed ADI-SFDTD formulation by a numerical example
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