Penetration of non-uniform electromagnetic field into conducting body

The study is based on the exact analytical solution for the general conjugation problem of three-dimensional quasi-stationary field at a flat interface between dielectric and conducting media. It is determined that non-uniform electromagnetic field always decreases in depth faster than uniform field...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Yu. M. Vasetsky
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2021
Materias:	three-dimensional electromagnetic field electromagnetic field formation exact analytical solution skin effect Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/232f5084eae34946af7a8b334e958578
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:232f5084eae34946af7a8b334e958578
record_format	dspace
spelling	oai:doaj.org-article:232f5084eae34946af7a8b334e9585782021-12-02T15:18:48ZPenetration of non-uniform electromagnetic field into conducting body10.20998/2074-272X.2021.2.072074-272X2309-3404https://doaj.org/article/232f5084eae34946af7a8b334e9585782021-04-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/228890/227903https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404The study is based on the exact analytical solution for the general conjugation problem of three-dimensional quasi-stationary field at a flat interface between dielectric and conducting media. It is determined that non-uniform electromagnetic field always decreases in depth faster than uniform field. The theoretical conclusion is confirmed by comparing the results of analytical and numerical calculations. The concept of strong skin effect is extended to the case when penetration depth is small not only compare to the characteristic body size, but also when the ratio of the penetration depth to the distance from the surface of body to the sources of the external field is small parameter. For strong skin effect in its extended interpretation, the influence of external field non-uniformity to electromagnetic field formation both at the interface between dielectric and conducting media and to the law of decrease field in conducting half-space is analyzed. It is shown, at the interface the expressions for the electric and magnetic intensities in the form of asymptotic series in addition to local field values of external sources contain their derivatives with respect to the coordinate perpendicular to the interface. The found expressions made it possible to generalize the approximate Leontovich impedance boundary condition for diffusion of non-uniform field into conducting half-space. The difference between the penetration law for the non-uniform field and the uniform one takes place in the terms of the asymptotic series proportional to the small parameter to the second power and to the second derivative with respect to the vertical coordinate from the external magnetic field intensity at the interface.Yu. M. VasetskyNational Technical University "Kharkiv Polytechnic Institute"articlethree-dimensional electromagnetic fieldelectromagnetic field formationexact analytical solutionskin effectElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 2, Pp 43-53 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	three-dimensional electromagnetic field electromagnetic field formation exact analytical solution skin effect Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	three-dimensional electromagnetic field electromagnetic field formation exact analytical solution skin effect Electrical engineering. Electronics. Nuclear engineering TK1-9971 Yu. M. Vasetsky Penetration of non-uniform electromagnetic field into conducting body
description	The study is based on the exact analytical solution for the general conjugation problem of three-dimensional quasi-stationary field at a flat interface between dielectric and conducting media. It is determined that non-uniform electromagnetic field always decreases in depth faster than uniform field. The theoretical conclusion is confirmed by comparing the results of analytical and numerical calculations. The concept of strong skin effect is extended to the case when penetration depth is small not only compare to the characteristic body size, but also when the ratio of the penetration depth to the distance from the surface of body to the sources of the external field is small parameter. For strong skin effect in its extended interpretation, the influence of external field non-uniformity to electromagnetic field formation both at the interface between dielectric and conducting media and to the law of decrease field in conducting half-space is analyzed. It is shown, at the interface the expressions for the electric and magnetic intensities in the form of asymptotic series in addition to local field values of external sources contain their derivatives with respect to the coordinate perpendicular to the interface. The found expressions made it possible to generalize the approximate Leontovich impedance boundary condition for diffusion of non-uniform field into conducting half-space. The difference between the penetration law for the non-uniform field and the uniform one takes place in the terms of the asymptotic series proportional to the small parameter to the second power and to the second derivative with respect to the vertical coordinate from the external magnetic field intensity at the interface.
format	article
author	Yu. M. Vasetsky
author_facet	Yu. M. Vasetsky
author_sort	Yu. M. Vasetsky
title	Penetration of non-uniform electromagnetic field into conducting body
title_short	Penetration of non-uniform electromagnetic field into conducting body
title_full	Penetration of non-uniform electromagnetic field into conducting body
title_fullStr	Penetration of non-uniform electromagnetic field into conducting body
title_full_unstemmed	Penetration of non-uniform electromagnetic field into conducting body
title_sort	penetration of non-uniform electromagnetic field into conducting body
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2021
url	https://doaj.org/article/232f5084eae34946af7a8b334e958578
work_keys_str_mv	AT yumvasetsky penetrationofnonuniformelectromagneticfieldintoconductingbody
_version_	1718387435840208896

Penetration of non-uniform electromagnetic field into conducting body

Ejemplares similares