Exact, Closed-Form Expressions for Transient Fields in Homogeneously Filled Waveguides

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Abstract

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 languageEnglish (US)
Pages (from-to)2164-2170
Number of pages7
JournalIEEE Transactions on Microwave Theory and Techniques
Volume42
Issue number11
DOIs
StatePublished - Nov 1994

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ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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