Journal ArticleDOI
On the dispersion in TLM and FDTD
M. Krumpholz,Peter Russer +1 more
TLDR
In this article, the dispersion relations of a two-dimensional TLM mesh and a three-dimensional LTLM mesh with condensed symmetric nodes are calculated using a generalized method which can be applied to any TLM node described by square scattering and propagation matrices of equal dimension.Abstract:
The dispersion relations of a two-dimensional TLM mesh and a three-dimensional TLM mesh with condensed symmetric nodes are calculated. For the calculation of the TLM dispersion relations, we use a generalized method which can be applied to any TLM node described by square scattering and propagation matrices of equal dimension. Introducing the FDTD Hilbert space representation, it is shown that the method is closely related to the method of calculating FDTD dispersion relations. >read more
Citations
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Journal ArticleDOI
MRTD: new time-domain schemes based on multiresolution analysis
M. Krumpholz,Linda P. B. Katehi +1 more
TL;DR: In this paper, a multiresolution analysis to Maxwell's equations results in new multi-resolution time-domain (MRTD) schemes with unparalleled inherent properties, which are based on scaling functions only or on a combination of scaling functions and wavelets leading to a variable mesh grading.
Journal ArticleDOI
Reduction of numerical dispersion in FDTD method through artificial anisotropy
TL;DR: 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.
Journal ArticleDOI
The Transmission-Line Modeling (TLM) Method in Electromagnetics
TL;DR: This book is written for engineering students at graduate and advanced undergraduate levels, and is also highly suitable for specialists in computational electromagnetics working in industry, who wish to become familiar with the topic.
Journal ArticleDOI
A 3-D Isotropic Left-Handed Metamaterial Based on the Rotated Transmission-Line Matrix (TLM) Scheme
TL;DR: A 3-D isotropic left-handed metamaterial based on the rotated transmission-line matrix (TLM) scheme is presented in this paper, where the authors analyze the dispersion relation, Bloch impedance, principal axes propagation, differential/common mode excitation and composite right/left-handed response.
Book ChapterDOI
The Transmission Line Matrix Method
TL;DR: The transmission line matrix (TLM) method as discussed by the authors is a powerful method for computer modeling of electromagnetic fields, which is also suitable for modelling of lossy, dispersive and nonlinear media.
References
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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
A Symmetrical Condensed Node for the TLM Method
TL;DR: In this paper, a new symmetrical condensed node is developed for the analysis of electromagnetic waves by the transmission-line modeling (TLM) method of numerical analysis, which has the advantage of condensing the field components to one point in space at the node.
Journal ArticleDOI
Group velocity in finite difference schemes
TL;DR: In this paper, the relevance of group velocity to the behavior of finite difference models of time-dependent partial differential equations is surveyed and illustrated, and applications involve the propagation of wave packets in one and two dimensions, numerical dispersion, the behaviour of parasitic waves, and the stability analysis of initial boundary value problems.
Journal ArticleDOI
Origin of vector parasites in numerical Maxwell solutions
D.R. Lynch,Keith D. Paulsen +1 more
TL;DR: In this article, the authors derived dispersion relations for conventional finite element (FE) and finite-difference (FD) approximations for four versions of the Maxwell equations in the plane: the double-curl equation, the vector Helmholtz equation; the penalty equation; and the primitive, coupled Maxwell curl equations.
Journal ArticleDOI
A complete dispersion analysis of the condensed node TLM mesh
J. Nielsen,Wolfgang J. R. Hoefer +1 more
TL;DR: In this paper, the general dispersion characteristics of a three-dimensional homogeneous transmission line method (TLM) network, based on the condensed node, were analyzed and an implicit expression relating an arbitrary propagation vector in the network to the free space propagation constant was derived.