Electric potential of a point charge in multilayered dielectrics evaluated from Hankel transform

DOI10.1007/S10665-017-9929-3zbMath1405.78006OpenAlexW2742002366MaRDI QIDQ1616530

Tian Tang, Hasib Ibne Rahman

Publication date: 6 November 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-017-9929-3

zbMATH Keywords

electric potentialLaplace equationpoint chargeHankel transformationmultilayered dielectric

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Composite media; random media in optics and electromagnetic theory (78A48)

Cites Work

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• Image approximations to electrostatic potentials in layered electrolytes/dielectrics and an ion-channel model
• Extended sneddon and muki solutions for multilayered elastic materials
• Coulomb Green's function and image potential near a planar diffuse interface, revisited
• Numerically efficient Green’s function for planar structures on multilayered dielectric in cylindrical enclosure
• Use of the Hankel transform in boundary integral methods for axisymmetric problems

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