Journal ArticleDOI
Reduction of numerical dispersion in FDTD method through artificial anisotropy
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In this article, a simple and computationally low-cost modification of the standard finite-difference time-domain (FDTD) algorithm is presented to reduce numerical dispersion in the algorithm.Abstract:
In this paper, a simple and computationally low-cost modification of the standard finite-difference time-domain (FDTD) algorithm is presented to reduce numerical dispersion in the algorithm. Both two- and three-dimensional cases are considered. It is shown that the maximum error in phase velocity can be reduced by a factor of 2-7, depending on the shape of the FDTD cell. Although the reduction procedure is optimal for only single frequency, numerical examples show that the proposed method can also improve the accuracy significantly in wide-band inhomogeneous problems.read more
Citations
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Journal ArticleDOI
Enhancement of light extraction from light emitting diodes
TL;DR: In this paper, the authors reviewed approaches to enhanced light extraction grouped into two sets depending on whether their application results in the change in the spontaneous emission rate or the angular distribution, or both.
Journal ArticleDOI
A finite element method enriched for wave propagation problems
TL;DR: In this paper, an enriched finite element method is presented to solve various wave propagation problems, which combines advantages of finite element and spectral techniques, but an important point is that it preserves the fundamental properties of the FEM method.
Journal ArticleDOI
Improved FDTD subgridding algorithms via digital filtering and domain overriding
TL;DR: This paper presents an overlapped SG (OSG) approach combined with digital filters (in space) and introduces SG with a domain overriding (SG-DO) strategy, consisting of overlapped (sub)grid regions that contain auxiliary subdomains with perfectly matched layers (PML) to allow explicit control on the reflection and transmission properties at SG interfaces.
Journal ArticleDOI
An efficient method to reduce the numerical dispersion in the ADI-FDTD
Hong-Xing Zheng,Kwok Wa Leung +1 more
TL;DR: In this paper, a new approach to reduce the numerical dispersion in the finite-difference time-domain (FDTD) method with alternating-direction implicit (ADI) is studied.
Book
Higher-order FDTD Schemes for Waveguides and Antenna Structures
TL;DR: In this paper, a comprehensive and systematically organized coverage of higher order finite-difference time-domain or FDTD schemes is provided, demonstrating their potential role as a powerful modeling tool in computational electromagnetics.
References
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Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Journal ArticleDOI
Time-domain finite difference approach to the calculation of the frequency-dependent characteristics of microstrip discontinuities
Zhang Xiaolei,K.K. Mei +1 more
TL;DR: In this paper, the frequency-dependent characteristics of the microstrip discontinuities have been analyzed using full-wave approaches and the time-domain finite-difference (TD-FD) method is presented.
Journal ArticleDOI
A simple FDTD model for transient excitation of antennas by transmission lines
TL;DR: In this paper, a simple FDTD model was developed for use with antennas that are fed from transmission lines, where the incident and reflected waveforms within the transmission line were of interest, and the latter was determined directly in the FDTD calculation.
Journal ArticleDOI
Numerical stability and numerical dispersion of a compact 2-D/FDTD method used for the dispersion analysis of waveguides
TL;DR: In this paper, the stability condition for the compact two-dimensional finite-difference-time-domain (2-D/FDTD) scheme was derived for the dispersion analysis of waveguiding structures.
Journal ArticleDOI
The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions
Allen Taflove,K. R. Umashankar +1 more
TL;DR: In this paper, the authors review the background and formulation of the finite-difference time-domain (FD-TD) method for numerical modeling of electromagnetic wave interactions with arbitrary structures.