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<p>This paper presents a rigorous formulation based on the inverse Fourier–Bessel transform to determine the contribution of non-conservative electric fields (or vector potentials) due to a circular current filament from the actual and image currents, respectively. Notably, the null-image effect in the scenario of a current loop filament positioned at a distance <i>h</i> from the magnetic substrate surface can be observed. Specifically, the position where the measured electric field due to image current vanishes is a function of both <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_3582_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(d+2h\)</EquationSource> </InlineEquation> and ferrite slab thickness, where <i>d</i> is the distance from the excited coil to the pick-up coil.</p>

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Null-image effect of planar coils over a grounded ferrite slab

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Ruey-Bing Hwang

摘要

This paper presents a rigorous formulation based on the inverse Fourier–Bessel transform to determine the contribution of non-conservative electric fields (or vector potentials) due to a circular current filament from the actual and image currents, respectively. Notably, the null-image effect in the scenario of a current loop filament positioned at a distance h from the magnetic substrate surface can be observed. Specifically, the position where the measured electric field due to image current vanishes is a function of both \(d+2h\) and ferrite slab thickness, where d is the distance from the excited coil to the pick-up coil.