On the dynamic toroidal multipoles from localized electric current distributions

Abstract We analyze the dynamic toroidal multipoles and prove that they do not have an independent physical meaning with respect to their interaction with electromagnetic waves. We analytically show how the split into electric and toroidal parts causes the appearance of non-radiative components in e...

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Autores principales:	Ivan Fernandez-Corbaton, Stefan Nanz, Carsten Rockstuhl
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2b6cd1bdb5464027af75b76b8ffe509d
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spelling	oai:doaj.org-article:2b6cd1bdb5464027af75b76b8ffe509d2021-12-02T11:40:52ZOn the dynamic toroidal multipoles from localized electric current distributions10.1038/s41598-017-07474-42045-2322https://doaj.org/article/2b6cd1bdb5464027af75b76b8ffe509d2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07474-4https://doaj.org/toc/2045-2322Abstract We analyze the dynamic toroidal multipoles and prove that they do not have an independent physical meaning with respect to their interaction with electromagnetic waves. We analytically show how the split into electric and toroidal parts causes the appearance of non-radiative components in each of the two parts. These non-radiative components, which cancel each other when both parts are summed, preclude the separate determination of each part by means of measurements of the radiation from the source or of its coupling to external electromagnetic waves. In other words, there is no toroidal radiation or independent toroidal electromagnetic coupling. The formal meaning of the toroidal multipoles is clear in our derivations. They are the higher order terms of an expansion of the multipolar coefficients of electric parity with respect to the electromagnetic size of the source.Ivan Fernandez-CorbatonStefan NanzCarsten RockstuhlNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ivan Fernandez-Corbaton Stefan Nanz Carsten Rockstuhl On the dynamic toroidal multipoles from localized electric current distributions
description	Abstract We analyze the dynamic toroidal multipoles and prove that they do not have an independent physical meaning with respect to their interaction with electromagnetic waves. We analytically show how the split into electric and toroidal parts causes the appearance of non-radiative components in each of the two parts. These non-radiative components, which cancel each other when both parts are summed, preclude the separate determination of each part by means of measurements of the radiation from the source or of its coupling to external electromagnetic waves. In other words, there is no toroidal radiation or independent toroidal electromagnetic coupling. The formal meaning of the toroidal multipoles is clear in our derivations. They are the higher order terms of an expansion of the multipolar coefficients of electric parity with respect to the electromagnetic size of the source.
format	article
author	Ivan Fernandez-Corbaton Stefan Nanz Carsten Rockstuhl
author_facet	Ivan Fernandez-Corbaton Stefan Nanz Carsten Rockstuhl
author_sort	Ivan Fernandez-Corbaton
title	On the dynamic toroidal multipoles from localized electric current distributions
title_short	On the dynamic toroidal multipoles from localized electric current distributions
title_full	On the dynamic toroidal multipoles from localized electric current distributions
title_fullStr	On the dynamic toroidal multipoles from localized electric current distributions
title_full_unstemmed	On the dynamic toroidal multipoles from localized electric current distributions
title_sort	on the dynamic toroidal multipoles from localized electric current distributions
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/2b6cd1bdb5464027af75b76b8ffe509d
work_keys_str_mv	AT ivanfernandezcorbaton onthedynamictoroidalmultipolesfromlocalizedelectriccurrentdistributions AT stefannanz onthedynamictoroidalmultipolesfromlocalizedelectriccurrentdistributions AT carstenrockstuhl onthedynamictoroidalmultipolesfromlocalizedelectriccurrentdistributions
_version_	1718395508960002048

On the dynamic toroidal multipoles from localized electric current distributions

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