The transient response of one-dimensional nonuniform dispersive media is studied through the use of numerical techniques
for the inversion of the Laplace transforms of the transient signals.
The media considered are those in which the permittivity
varies in one spatial dimension only and for which an analytical or numerical solution of the wave equation can be obtained.
Two numerical techniques for the inversion of Laplace transforms are used, one in which the inverse transform is obtained in terms of a series of generalized Laguerre polynomials
and the other in which the inverse is obtained by direct numerical integration of the complex inversion integral.
Responses are calculated for the following cases; (a) a uniform isotropic plasma, (b) dielectric media with a piecewise linear variation in permittivity and (c) isotropic cold plasmas with a piecewise linear variation in electron density, for step-modulated and rectangular-pulse-modulated carrier input signals. It is shown that the results for case (a) compare favorably with the known exact solution, for a unit-step-modulated carrier input signal. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/36362 |
| Date | January 1967 |
| Creators | Thorleifson, Jon Michael |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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