Ultra-wideband electromagnetic pulse propagation in a homogeneous, cold plasma

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In this paper, we investigate the propagation of an ultra-wideband electromagnetic pulse in a homogeneous, cold plasma which is used to represent a simplified model of the atmosphere. The standard procedure for the computation of the corresponding transient field involves the application of a fast Fourier transform (FFT) to a well-known, analytical, frequency-domain solution. However, because of the long tails in both the time and frequency domains, a large number of sample points are required to compute the transient response using this FFT approach. In this paper, we introduce a new asymptotic extraction technique which dramatically reduces the number of sample points required by the FFT. First, we review the recently derived closed-form expression for a double-exponential pulse propagating in a homogeneous, collisionless, cold plasma. Since the high-frequency behavior does not depend on the electron collision frequency, an analytical frequency-domain expression, which is similar in form to the one encountered for the collisionless, cold plasma and encompasses this high-frequency behavior, can be subtracted from the exact expression for the plasma with a nonzero collision frequency. The extracted term is evaluated analytically. The remaining expression, which can be transformed to the time domain with a FFT, requires only a modest number of sample points. This dramatically improves the numerical efficiency of the approach. We find that the extracted analytical term provides a very good approximation for the early-time behavior of the transient pulse.

Original languageEnglish (US)
Pages (from-to)239-250
Number of pages12
JournalRadio Science
Volume32
Issue number1
StatePublished - Jan 1997

Fingerprint

Plasma Gases
Electromagnetic pulse
electromagnetic pulses
cold plasmas
Ultra-wideband (UWB)
Fast Fourier transforms
Fourier transform
broadband
Plasmas
plasma
propagation
collision
Transient analysis
transient response
pulses
electron scattering
electron
cold
Electrons
atmosphere

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Atmospheric Science
  • Computers in Earth Sciences
  • Geochemistry and Petrology
  • Geophysics
  • Instrumentation

Cite this

Ultra-wideband electromagnetic pulse propagation in a homogeneous, cold plasma. / Dvorak, Steven L; Ziolkowski, Richard W; Dudley, Donald G.

In: Radio Science, Vol. 32, No. 1, 01.1997, p. 239-250.

Research output: Contribution to journalArticle

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