Journal ArticleDOI
3-D ADI-FDTD method-unconditionally stable time-domain algorithm for solving full vector Maxwell's equations
Reads0
Chats0
TLDR
In this article, the alternating direction implicit finite-difference time domain (ADI-FDTD) method for a two-dimensional TE wave is extended to a full three-dimensional (3D) wave.Abstract:
We previously introduced the alternating direction implicit finite-difference time domain (ADI-FDTD) method for a two-dimensional TE wave. We analytically and numerically verified that the algorithm of the method is unconditionally stable and free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional (3-D) wave. Numerical formulations of the 3-D ADI-FDTD method are presented and simulation results are compared to those using the conventional 3-D finite-difference time-domain (FDTD) method. We numerically verify that the 3-D ADI-FDTD method is also unconditionally stable and it is more efficient than the conventional 3-D FDTD method in terms of the central processing unit time if the size of the local minimum cell in the computational domain is much smaller than the other cells and the wavelength.read more
Citations
More filters
Book
Electromagnetic Band Gap Structures in Antenna Engineering
Fan Yang,Yahya Rahmat-Samii +1 more
TL;DR: In this paper, the FDTD method for periodic structure analysis is used for periodic structures analysis of EBG surfaces and low profile wire antennas are used for EBG surface wave antennas.
Journal ArticleDOI
Periodic nanostructures for photonics
Kurt Busch,G. von Freymann,Stefan Linden,Sergei F. Mingaleev,Lasha Tkeshelashvili,Martin Wegener +5 more
TL;DR: In this article, a review of the current status of periodic dielectric nanostructures in photonics is presented, including both recent progress and well-established results, as well as the advantages and limitations of various theoretical and numerical approaches.
Journal ArticleDOI
An unconditionally stable scheme for the finite-difference time-domain method
TL;DR: In this article, the authors propose a numerical method to obtain an unconditionally stable solution for the finite-difference time-domain (FDTD) method for the TE/sub z/ case.
Journal ArticleDOI
Progress in the methodologies for the electrical modeling of interconnects and electronic packages
TL;DR: This paper presents an overview of the different approaches employed today for the development of an electromagnetic modeling and simulation framework that can effectively tackle the complexity of the interconnect circuit and facilitate its design.
Journal ArticleDOI
Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods
TL;DR: Generalized formulations of fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain (FDTD) methods are presented, and a comparative study of various implicit schemes in their original and new implementations is carried out, which includes comparisons of their computation costs and efficiency gains.
References
More filters
Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Journal ArticleDOI
Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations
TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.
Journal ArticleDOI
Numerical Solution of Partial Differential Equations.
G. W. Hedstrom,G. D. Smith +1 more
Journal ArticleDOI
Numerical Solution of Partial Differential Equations
A. H. Armstrong,G. D. Smith +1 more
Journal ArticleDOI
A new FDTD algorithm based on alternating-direction implicit method
TL;DR: In this article, a new finite-difference time-domain (FDTD) algorithm is proposed in order to eliminate the Courant-Friedrich-Levy (CFL) condition restraint.