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Quasi‐Static Fields of Dipole Antennas Located Above the Earth's Surface
Author(s) -
Bannister Peter R.
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds1967291093
Subject(s) - dipole , physics , exponential function , electric field , magnetic dipole , reciprocity (cultural anthropology) , dipole antenna , series (stratigraphy) , surface (topology) , computational physics , magnetic field , mathematical analysis , mathematics , antenna (radio) , geometry , geology , telecommunications , computer science , quantum mechanics , psychology , social psychology , paleontology
The electric and magnetic field components produced by vertical and horizontal dipole antennas (both electric and magnetic types) located at or above the surface of a semi‐infinite conducting medium are derived and presented for the quasi‐static range. The horizontal separation between the transmitting and receiving dipole antennas ( ρ ) is assumed to be much greater than their heights ( h and z , respectively). These derivations are the result of applying the quasi‐static approximation to the basic Sommerfeld integrals, utilizing the reciprocity theorem and expanding the exponential term involving the antenna heights in a power series. When ρ is much greater than an earth skin depth (δ), δ ≪ δ, or h = z = o+, the formulas for the field‐component expressions reduce to previously derived results. Some numerical values for these expressions are also provided.