Singular Modes of the Electromagnetic Field

Details Singular Modes of the Electromagnetic Field Singular Modes of the Electromagnetic Field

2006-06-15

arxiv.org/abs/physics/0606137v1

J. Phys. A: Math. Theor. 40 (2007) 6239-6250

Physics

Classical Physics

14 pages, no figures

Scientific paper

10.1088/1751-8113/40/23/016

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.

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