Title
A review of hybrid implicit explicit finite difference time domain method.
Abstract
The finite-difference time-domain (FDTD) method has been extensively used to simulate varieties of electromagnetic interaction problems. However, because of its Courant–Friedrich–Levy (CFL) condition, the maximum time step size of this method is limited by the minimum size of cell used in the computational domain. So the FDTD method is inefficient to simulate the electromagnetic problems which have very fine structures. To deal with this problem, the Hybrid Implicit Explicit (HIE)-FDTD method is developed. The HIE-FDTD method uses the hybrid implicit explicit difference in the direction with fine structures to avoid the confinement of the fine spatial mesh on the time step size. So this method has much higher computational efficiency than the FDTD method, and is extremely useful for the problems which have fine structures in one direction. In this paper, the basic formulations, time stability condition and dispersion error of the HIE-FDTD method are presented. The implementations of several boundary conditions, including the connect boundary, absorbing boundary and periodic boundary are described, then some applications and important developments of this method are provided. The goal of this paper is to provide an historical overview and future prospects of the HIE-FDTD method.
Year
DOI
Venue
2018
10.1016/j.jcp.2018.02.053
Journal of Computational Physics
Keywords
Field
DocType
FDTD method,HIE-FDTD method,Electromagnetic simulation,Time stability condition
Boundary value problem,Applied mathematics,Electromagnetic interaction,Mathematical analysis,Dispersion error,Finite-difference time-domain method,Periodic graph (geometry),Mathematics
Journal
Volume
ISSN
Citations 
363
0021-9991
0
PageRank 
References 
Authors
0.34
2
1
Name
Order
Citations
PageRank
Juan Chen101.35