Rumsey’s reaction concept generalized
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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6
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PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS, Volume 89, pp. 1-6
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.Description
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Lindell, I V & Sihvola, A 2020, 'Rumsey’s reaction concept generalized', PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS, vol. 89, pp. 1-6. < http://www.jpier.org/PIERL/pierl89/01.19091705.pdf >