Singular Modes of the Electromagnetic Field

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We show that the mode corresponding to the point of essential spectrum of the electromagnetic scattering operator is a vector-valued distribution representing the square root of the three-dimensional Dirac's delta function. An explicit expression for this singular mode in terms of the Weyl sequence is provided and analyzed. An essential resonance thus leads to a perfect localization (confinement) of the electromagnetic field, which in practice, however, may result in complete absorption.
14 pages, no figures

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Classical Physics, General Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/129321

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0606137
 http://arxiv.org/abs/physics/0606137
 J. Phys. A: Math. Theor. 40 (2007) 6239-6250
 doi:10.1088/1751-8113/40/23/016

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arXiv