Asymptotic technique for computing the electric field associated with a traveling wave current filament above Earth

A. Budihardjo, Steven L Dvorak, M. M. Mechaik

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Asymptotic approximations are obtained for the electric field associated with a traveling wave current filament above Earth. A first-order asymptotic solution is obtained by applying the steepest descent technique to the direct and reflected fields separately. The first-order solution is used together with a recurrence relationship to obtain a second-order asymptotic approximation for the total field. Superposition of the fields due to two semi-infinite wires is used to find the field associated with a finite length traveling wave current filament above Earth. The fields which are computed using the asymptotic approximations are compared with the `true' fields which are obtained by numerical integration of the tw o-dimensional Sommerfeld integral. The second-order asymptotic approximation is found to yield accurate results for all observation points located away from the source.

Original languageEnglish (US)
Pages (from-to)1219-1229
Number of pages11
JournalRadio Science
Volume29
Issue number5
StatePublished - Sep 1994

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traveling waves
electric field
filaments
Earth (planet)
Electric fields
electric fields
approximation
Wire
descent
numerical integration
wire

ASJC Scopus subject areas

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

Cite this

Asymptotic technique for computing the electric field associated with a traveling wave current filament above Earth. / Budihardjo, A.; Dvorak, Steven L; Mechaik, M. M.

In: Radio Science, Vol. 29, No. 5, 09.1994, p. 1219-1229.

Research output: Contribution to journalArticle

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