Notes on "Analytical Model for Low-Frequency Magnetic Field Penetration Through a Circular Aperture on a Perfect Electric Conductor Plate"

Recently, the magnetic field penetration through a circular aperture in a thin perfect electric conductor when excited by a loop antenna placed coaxially with the aperture is solved analytically in the quasi-static frame. However, the analytical solution is only applicable to the longitudinal compon...

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Published in:IEEE transactions on electromagnetic compatibility 2024-04, Vol.66 (2), p.640-643
Main Authors: Qin, Dingyu, Liu, Sijia, Zhu, Yuxin, Jiao, Chongqing
Format: Article
Language:English
Subjects:
Apertures
Circular aperture
Conductors
Electric conductors
Electric potential
Exact solutions
Loop antennas
Magnetic fields
Magnetic noise
Magnetic shielding
Magnetic vector potentials
Mathematical analysis
perfect electric conductor (PEC)
Power systems
Surface treatment
Vectors
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Liu, Sijia
Zhu, Yuxin
Jiao, Chongqing
description Recently, the magnetic field penetration through a circular aperture in a thin perfect electric conductor when excited by a loop antenna placed coaxially with the aperture is solved analytically in the quasi-static frame. However, the analytical solution is only applicable to the longitudinal component. Here, we present two approaches to obtain the transverse component. The first one belongs to the direct extension of the earlier results, but lengthy mathematic derivations are performed to solve a complex integral. The second one utilizes the magnetic vector potential formulation and then converts it into a known scalar potential problem.
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subjects Apertures
Circular aperture
Conductors
Electric conductors
Electric potential
Exact solutions
Loop antennas
Magnetic fields
Magnetic noise
Magnetic shielding
Magnetic vector potentials
Mathematical analysis
perfect electric conductor (PEC)
Power systems
Surface treatment
Vectors
title Notes on "Analytical Model for Low-Frequency Magnetic Field Penetration Through a Circular Aperture on a Perfect Electric Conductor Plate"
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