Rumsey’s reaction concept generalized

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Abstract

The reaction concept, introduced by Rumsey in 1954, describes interaction between time-harmonic electromagnetic sources through the fields radiated by the sources. In the original form the concept was a scalar quantity defined by three-dimensional field and source vectors. In the present paper, the representation is extended to four dimensions applying differential-form formalism. It turns out that, in a coordinate-free form, the reaction concept must actually be a one-form, whose temporal component yields Rumsey’s scalar reaction. The spatial one-form component corresponds to a three-dimensional Gibbsian-vector reaction which consists of electromagnetic force terms. The medium is assumed homogeneous and isotropic in this paper.

Details

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalPROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS
Volume89
Publication statusPublished - 1 Jan 2020
MoE publication typeA1 Journal article-refereed

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