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Proc Math Phys Eng Sci. 2016 Apr;472(2188):20150870. doi: 10.1098/rspa.2015.0870.

Stored electromagnetic energy and quality factor of radiating structures.

Proceedings. Mathematical, physical, and engineering sciences

Miloslav Capek, Lukas Jelinek, Guy A E Vandenbosch

Affiliations

  1. Faculty of Electrical Engineering , Department of Electromagnetic Field, Czech Technical University in Prague , Technicka 2, 16627 Prague, Czech Republic.
  2. Department of Electrical Engineering , Division ESAT-TELEMIC (Telecommunications and Microwaves), Katholieke Universiteit Leuven , 3001 Leuven, Belgium.

PMID: 27274693 PMCID: PMC4892281 DOI: 10.1098/rspa.2015.0870

Abstract

This paper deals with the old yet unsolved problem of defining and evaluating the stored electromagnetic energy-a quantity essential for calculating the quality factor, which reflects the intrinsic bandwidth of the considered electromagnetic system. A novel paradigm is proposed to determine the stored energy in the time domain leading to the method, which exhibits positive semi-definiteness and coordinate independence, i.e. two key properties actually not met by the contemporary approaches. The proposed technique is compared with an up-to-date frequency domain method that is extensively used in practice. Both concepts are discussed and compared on the basis of examples of varying complexity.

Keywords: antenna theory; electromagnetic theory; quality factor; stored electromagnetic energy

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