An analytical solution for the coupled telegrapher’s equations in terms of the
voltage and current on a homogeneous lossy transmission line and multiconductor
transmission line is presented. The resulting telegrapher’s equation solution is obtained
in the form of an exact time domain propagator operating on the line voltage and current.
It is shown that the analytical equations lead to a stable numerical method that can be
used in the analysis of both homogeneous and inhomogeneous transmission lines. A
numerical dispersion relation is derived proving that this method has no numerical
dispersion down to the two points per wavelength Nyquist limit. Examples are presented
showing that exceptionally accurate results are obtained for lossy single and
multiconductor transmission lines. The method is extended to represent the general
solution to Maxwell’s differential equations in vector matrix form. It is shown that,
given the electromagnetic field and boundary conditions at a given instant in time, the
free space time domain propagator and corresponding dyadic Green’s functions in 1-, 2-,
and 3-dimensions can be used to calculate the field at all subsequent times.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/ETD-TAMU-1105 |
| Date | 15 May 2009 |
| Creators | Jeong, Jaehoon |
| Contributors | Nevels, Robert D. |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | electronic, application/pdf, born digital |
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