Singular Modes of the Electromagnetic Field
Classical Physics
2007-05-23 v1 General Physics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0606137,
title = {Singular Modes of the Electromagnetic Field},
author = {Neil V. Budko and Alexander B. Samokhin},
journal= {arXiv preprint arXiv:physics/0606137},
year = {2007}
}
Comments
14 pages, no figures