Magnetic field penetration through a circular aperture in a perfectly conducting plate excited by a coaxial loop. Issue 10 (31st March 2021)

• Record Type: Journal Article
• Authors: Lovat, Giampiero; Burghignoli, Paolo; Araneo, Rodolfo; Celozzi, Salvatore
• Other Names: Lucido Mario guestEditor.; Kobayashi Kazuya guestEditor.; Medina Francisco guestEditor.; Nosich Alexander guestEditor.; Vinogradova Elena guestEditor.
• Is Part Of: IET microwaves, antennas & propagation. Volume 15:Issue 10(2021)
• Page Start: 1147
• Page End: 1158
• Publication Date: 2021-03-31
• Subjects: Microwaves -- Periodicals; Microwave antennas -- Periodicals; Antennas (Electronics) -- Periodicals; Radio wave propagation -- Periodicals; Microwave communication systems -- Periodicals; 621.381305
• DOI: 10.1049/mia2.12105
• Languages: English
• ISSNs: 1751-8725

Abstract

Abstract: 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.