An exact formulation for the electromagnetic fields of a cylindrical antenna with a triangular current distribution

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A mathematically exact formulation for the vector potential and corresponding electromagnetic fields of a triangular current cylindrical dipole are presented for the first time in this paper. These exact expressions converge rapidly in the near-field region of the antenna allowing them to be used for the efficient and accurate computational modeling of electrically short cylindrical antennas. The exact series expansion of the triangular current vector potential is shown to contain two fundamental exponential integrals and their higher-order associated integrals. Numerically stable forward recurrence relations have been derived which may be used for the efficient evaluation of these higher-order integrals in addition to the cylindrical wire kernel. These recursions may also be employed in the computation of the electric and magnetic fields. It is demonstrated that the classical thin wire forms of the vector potential and electromagnetic fields are actually special cases of the more general exact expansions. Finally, the exact formulation was used to investigate the near-field behavior of traditional thin wire as well as moderately thick wire dipoles. Several near-field plots are presented including a vector plot of the total electric field in the vicinity of a moderately thick quarter-wavelength dipole.

Original languageEnglish (US)
Pages (from-to)701-714
Number of pages14
JournalRadio Science
Volume31
Issue number4
DOIs
StatePublished - Jan 1 1996

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cylindrical antennas
Cylindrical antennas
electromagnetic field
current distribution
Electromagnetic fields
antenna
electromagnetic fields
wire
Wire
formulations
near fields
dipoles
electric field
plots
Electric fields
electric fields
vector currents
potential field
potential fields
series expansion

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Earth and Planetary Sciences(all)
  • Electrical and Electronic Engineering

Cite this

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abstract = "A mathematically exact formulation for the vector potential and corresponding electromagnetic fields of a triangular current cylindrical dipole are presented for the first time in this paper. These exact expressions converge rapidly in the near-field region of the antenna allowing them to be used for the efficient and accurate computational modeling of electrically short cylindrical antennas. The exact series expansion of the triangular current vector potential is shown to contain two fundamental exponential integrals and their higher-order associated integrals. Numerically stable forward recurrence relations have been derived which may be used for the efficient evaluation of these higher-order integrals in addition to the cylindrical wire kernel. These recursions may also be employed in the computation of the electric and magnetic fields. It is demonstrated that the classical thin wire forms of the vector potential and electromagnetic fields are actually special cases of the more general exact expansions. Finally, the exact formulation was used to investigate the near-field behavior of traditional thin wire as well as moderately thick wire dipoles. Several near-field plots are presented including a vector plot of the total electric field in the vicinity of a moderately thick quarter-wavelength dipole.",
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An exact formulation for the electromagnetic fields of a cylindrical antenna with a triangular current distribution. / Werner, Douglas Henry; Huffman, J. A.; Werner, Pingjuan Li.

In: Radio Science, Vol. 31, No. 4, 01.01.1996, p. 701-714.

Research output: Contribution to journalArticle

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AB - A mathematically exact formulation for the vector potential and corresponding electromagnetic fields of a triangular current cylindrical dipole are presented for the first time in this paper. These exact expressions converge rapidly in the near-field region of the antenna allowing them to be used for the efficient and accurate computational modeling of electrically short cylindrical antennas. The exact series expansion of the triangular current vector potential is shown to contain two fundamental exponential integrals and their higher-order associated integrals. Numerically stable forward recurrence relations have been derived which may be used for the efficient evaluation of these higher-order integrals in addition to the cylindrical wire kernel. These recursions may also be employed in the computation of the electric and magnetic fields. It is demonstrated that the classical thin wire forms of the vector potential and electromagnetic fields are actually special cases of the more general exact expansions. Finally, the exact formulation was used to investigate the near-field behavior of traditional thin wire as well as moderately thick wire dipoles. Several near-field plots are presented including a vector plot of the total electric field in the vicinity of a moderately thick quarter-wavelength dipole.

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