Open AccessMagnetic field penetration through a circular aperture in a perfectly conducting plate excited by a coaxial loop
Author(s) -
Lovat Giampiero,
Burghignoli Paolo,
Araneo Rodolfo,
Celozzi Salvatore
Publication year - 2021
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/mia2.12105
Subject(s) - integral equation , mathematical analysis , aperture (computer memory) , mathematics , hankel transform , coaxial , fredholm integral equation , integral transform , magnetic field , geometry , physics , bessel function , acoustics , computer science , quantum mechanics , telecommunications
The transmission of an electromagnetic field produced by a current loop of finite radius through a coaxial circular aperture in a perfectly conducting plate is evaluated through a rapidly convergent formulation in an exact form. By applying the equivalence principle, the problem is first formulated in the Hankel transform domain, obtaining a set of dual integral equations in which the equivalent surface magnetic current density defined on the aperture is not known. The set of dual integral equations is regularised in a second‐kind Fredholm integral equation by applying the Abel integral‐transform technique. The solution is achieved by expanding the unknown in a set of orthogonal basis functions that correctly reproduce the behaviour of the equivalent magnetic current at the edge of the aperture. Finally, under particular assumptions, a low‐frequency solution is extracted in a closed form. Numerical results are reported to validate the accuracy and efficiency of the proposed formulations.