## 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.

Original language | English |
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Pages (from-to) | 1-6 |

Number of pages | 6 |

Journal | PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS |

Volume | 89 |

Publication status | Published - 1 Jan 2020 |

MoE publication type | A1 Journal article-refereed |