scispace - formally typeset
Proceedings ArticleDOI

Generalized multi-gridding technique for the TLM method using the symmetrical super-condensed node (SSCN)

20 May 2001-Vol. 3, pp 1999-2002
TL;DR: Wlodarcyzk's TLM multi-gridding-technique is extended to the generalized one and two dimensional cases wherein the fine meshes can have different lengths and widths, which provides for considerable meshing flexibility.
Abstract: This paper extends Wlodarcyzk's TLM multi-gridding-technique to the generalized one and two dimensional cases wherein the fine meshes can have different lengths and widths. The advantage is that it is no longer necessary to divide the problem space into separate 'coarse' and 'fine' regions which provides for considerable meshing flexibility. Equations describing the connection procedure for the SSCN are derived. Modelling of crosstalk between PCB tracks is implemented with this new method and the simulation results compared with experiments.
Citations
More filters

Journal ArticleDOI
TL;DR: The transmission-line-matrix (TLM) numerical time-domain method using the symmetrical super-condensed node (SSCN) is applied to calculate the cross-talk time & frequency-response between tracks on a double-sided vertical-PCB-on-backplane configuration over a frequency range of 50 MHz to 1GHz.
Abstract: The transmission-line-matrix (TLM) numerical time-domain method using the symmetrical super-condensed node (SSCN) is applied to calculate the cross-talk time & frequency-response between tracks on a double-sided vertical-PCB-on-backplane configuration over a frequency range of 50 MHz to 1GHz. Meshing was done on a layer-wise basis which consisted of dividing the entire computational region into groups-of-vertical-layers in the XY plane, with each group of layers having the same mesh pattern. Extensive use was made of a recently introduced one and two dimensional multi-gridding technique to keep the total mesh count to a reasonable value. Perfectly-matched-layer absorbing boundary conditions were used and simulation was done for six PCB configurations for 100,000 time-steps, the time-step being 0.523 ps for a spatial resolution of 0.3175 mm. Simulation results compare well with the experimental data over the frequency range of interest.

1 citations


References
More filters

Journal ArticleDOI
TL;DR: The basic algorithm for simulating wave propagation in two- and three-dimensional transmission-live networks is derived and the introduction of boundaries, dielectric and magnetic materials, losses, and anisotropy are discussed in detail.
Abstract: This paper presents an overview of the transmission-line matrix (TLM) method of analysis, describing its historical background from Huygens's principle to modem computer formulations. The basic algorithm for simulating wave propagation in two- and three-dimensional transmission-live networks is derived. The introduction of boundaries, dielectric and magnetic materials, losses, and anisotropy are discussed in detail. Furthermore, the various sources of error and the limitations of the method are given, and methods for error correction or reduction, as well as improvements of numerical efficiency, are discussed. Finally, some typical applications to microwave problems are presented.

658 citations


Journal ArticleDOI
TL;DR: A new ‘multigrid’ interface is presented for the connection of fine and coarse TLM meshes that may be used unmodified with any type of TLM, and with guaranteed stability and losslessness.
Abstract: A new ‘multigrid’ interface is presented for the connection of fine and coarse TLM meshes. The interface is defined as an electrical connection and thus may be used unmodified with any type of TLM, and with guaranteed stability and losslessness. The connection supports correct propagation at any angle to the interface.

55 citations


Journal ArticleDOI
TL;DR: The development of a novel approach to solve electromagnetic problems in three dimensions using different grid sizes to model space thus allowing the modelling of small features using a fine mesh of grid points, whereas the rest of space is modelled using a coarse mesh.
Abstract: The development of a novel approach to solve electromagnetic problems in three dimensions is presented The method described as the ‘multigrid TLM method’ uses different grid sizes to model space thus allowing the modelling of small features using a fine mesh of grid points, whereas the rest of space is modelled using a coarse mesh The advantage of this method is that it offers simultaneously very high space resolution and modest computer storage and run-time requirements The basis of the method is described briefly, together with typical results and conclusions

41 citations


Journal ArticleDOI
Abstract: This paper describes a novel time-domain node for the TLM method. It has the unique feature of modeling arbitrary inhomogeneous media on a generally graded rectangular TLM mesh without using stubs. Variations in material properties and arbitrary aspect ratios of mesh cells are modeled by allowing different characteristic impedances in a cell, maintaining impulse synchronism throughout the mesh. The complete theory of the new node is given and its implementation on a general TLM mesh is discussed. Numerical results for a canonical resonator loaded with dielectric layers are presented for different grading cases. Substantial savings in computer storage and run-time as well as improved accuracy compared to the uniform mesh are achieved when an appropriate nonuniform grading of the TLM mesh is used. >

39 citations


Performance
Metrics
No. of citations received by the Paper in previous years
YearCitations
20011