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Journal ArticleDOI

Use of the transmission-line modelling (t.l.m.) method to solve non-linear lumped networks

P. B. Johns, +1 more
- 01 Dec 1980 - 
- Vol. 50, Iss: 1, pp 59-70
TLDR
The transmission-line modelling method presents a new approach to the solution of lumped networks by providing discrete models for components and the concept of numerical parasitic components as a means of assessing errors is introduced.
Abstract
The transmission-line modelling (t.l.m.) method presents a new approach to the solution of lumped networks by providing discrete models for components. Errors become due to the modelling process only and not due to the approximate solution of an approximate calculus model. The correspondence between stub models and existing implicit methods is shown and the concept of numerical parasitic components as a means of assessing errors is introduced. The paper then describes the entirely new explicit routines resulting from transmission-line modelling and explains their use in non-linear circuits. Finally, examples of mixed implicit and explicit working are given for the solution of non-linear transistor circuits.

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Citations
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Journal ArticleDOI

The Transmission-Line Matrix Method--Theory and Applications

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.
Journal ArticleDOI

New dynamic semiconductor laser model based on the transmission-line modelling method

TL;DR: In this paper, a frequency-dependent gain model was proposed for the transmission line modeling of a modulated laser, from which a sampled optical output waveform was obtained, and a technique of sampling below the optical frequency was introduced to minimize computing time.
Journal ArticleDOI

Rigorous electromagnetic modeling of chip-to-package (first-level) interconnections

TL;DR: A methodology is presented for the rigorous electromagnetic analysis of pulse transmission through first-level interconnects using a full-wave, vectorial, time-dependent Maxwell's equations solver with SPICE circuit models for the nonlinear drivers to facilitate the accurate modeling of the electromagnetic phenomena occurring at the chip-to-package interface.
Journal ArticleDOI

A finite-difference transmission line matrix method incorporating a nonlinear device model

TL;DR: In this article, a variable-mesh combination of the expanded-node transmission line matrix (TLM) and finite-difference-time-domain (FD-TD) methods for solving time-domain electromagnetic problems is described.

Contributions to the Modeling and Simulation of Mechanical Systems with Detailed Contact Analyses

TL;DR: This thesis focuses on the need for further development of multibody dynamics simulation packages focused on detailed contact analysis and makes contributions in three different simulation packages.
References
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Journal ArticleDOI

A simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation

TL;DR: In this article, a simple explicit and unconditionally stable numerical routine for the solution of the diffusion equation using a transmission-line modelling (TLM) method is described, and a detailed comparison of the new TLM methods and the well established methods is made.
Journal ArticleDOI

Transmission-line modeling and sensitivity evaluation for lumped network simulation and design in the time domain

TL;DR: A new approach for time-domain analysis and design of lumped networks is considered, where the lumped elements are modeled by transmission-line sections or stubs and the modeled network is analysed by theTLM method, which provides an exact solution to the model.
Book ChapterDOI

Numerical modelling by the tlm method

TL;DR: In this paper, the authors describe numerical modeling by the TLM method for transmission-line modeling, where the continuous properties of the field space have been concentrated into discontinuous packets, and the next step is to solve the lumped network in the time domain.
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