It is well known that transient electromagnetic waves in waveguides exhibit dispersion. Exact, closed-form expressions, which involve Bessel functions of the first kind, have been derived for the impulse response of a waveguide, but exact, closed-form expressions for more complex pulses are absent from the literature. in this paper, it is demonstrated that incomplete Lipschitz-Hankel integrals can be used to represent transient pulses in homogeneously filled waveguides. A continuous wave pulse is investigated in this paper, however, this technique can also be applied to a number of other transient waveforms. The resulting expressions are verified by numerically integrating the pulse distribution multiplied by the known impulse response.
|Original language||English (US)|
|Number of pages||7|
|Journal||IEEE Transactions on Microwave Theory and Techniques|
|State||Published - Nov 1994|
ASJC Scopus subject areas
- Condensed Matter Physics
- Electrical and Electronic Engineering