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Pulse Propagation along close Conductors
Abstract
The propagation and reflection of arbitrarily shaped pulses
on non-dispersive parallel conductors of finite length with user defined cross
section is simulated employing the discretized telegraph equation. The geometry
of the system of conductors and the presence of dielectric material determine
the capacities and inductances that enter the calculation. The values of these
parameters are found using an iterative Laplace equation solving procedure and
confirmed for certain calculable geometries including the line charge inside a
box. The evolving pulses and the resulting crosstalk can be plotted at any
instant and - in the Mathematica notebook version of this report - be looked at
in an animation. As an example a differential pair of microstrips as used in
the ATLAS vertex detector is analysed.
Download Pulse.pdf (PDF file) 3.5 MB Download Pulse.zip (compressed Mathematica notebook)
4.4 MB
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Infinite Products - a collection of infinite products and sums plus special values of elliptic theta functions
Table of integrals (elliptic functions, square roots, inverse tangents and more exotic functions), most of them not found elsewhere
Table of indefinite Integrals
Table of definite Integrals
| Dr. Andreas Dieckmann | Physikalisches Institut der Uni Bonn |
| Tel. 0228 732516 | Raum 0.039 |
| Nussallee 12 | 53115 Bonn |
dieckman@physik.uni-bonn.de