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The Electric Field Very Near a Driven Cylindrical Antenna
Author(s) -
King Ronold W. P.,
Wu Tai Tsun
Publication year - 1966
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/rds196613353
Subject(s) - radius , antenna (radio) , physics , center (category theory) , electric field , dipole , sine , trigonometric functions , zero (linguistics) , dipole antenna , order (exchange) , mathematical analysis , optics , mathematics , geometry , telecommunications , computer science , quantum mechanics , linguistics , chemistry , computer security , philosophy , finance , economics , crystallography
A first‐order formula is derived for the component E z ( ρ, z ) of the electric field very near to the surface and parallel to the axis of a perfectly conducting center‐driven cylindrical antenna with radius a and length 2h. It has the form E z ( ρ, z ) = E z (z) ln ( ρ/a ) where p is the radial distance from the axis of the antenna and E z ( z ) is a complicated expression that involves generalized sine and cosine integral functions. Zero‐order results are compared with first‐order values for half‐and full‐wave dipoles with a / λ = 7.022 × 10 ∑3 . It is shown that zero‐order values do not include large values of E z ( ρ, z ) near the ends and near the driving point, so that a quantitative estimate of the field near a center‐driven cylindrical antenna requires a first‐order evaluation.