On Poynting's theorem and reciprocity relations for discontinuous fields

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Date

2007-08

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IEEE

Abstract

Poynting's theorem and reciprocity relations are investigated, based on the postulate that Maxwell's equations are always valid in the sense of distributions. Three special cases of practical importance in which the fields possess bounded discontinuities on simple (nonmaterial) and material interfaces between two different media are rigorously examined, incorporating the basic properties of the Heaviside unit step function and the Dirac delta distribution for multiple variables.

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Keywords

Electromagnetic fields, Maxwell equations, Mathematical models, Dirac delta distribution, Poynting theorem, Electromagnetic waves, Distribution theory, Reciprocity, Electromagnetic analysis, Reaction concept, Electromagnetic energy, Poynting theorem, Electromagnetic fields, Maxwell equations, Electromagnetic theory, Distributions, Divergence theorem, Singularities, Green theorem, Engineering, Telecommunications

Citation

Polat, B. D. (2007). "On Poynting's theorem and reciprocity relations for discontinuous fields". IEEE Antennas and Propagation Magazine, 49(4), 74-83.