Singular Modes of the Electromagnetic Field

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.

14 pages, no figures

References in corpus (2)

• Spectrum of the volume integral operator of electromagnetic scattering
• Classification of electromagnetic resonances in finite inhomogeneous three-dimensional structures

Cited by in corpus (2)

• On the effective permittivity of finite inhomogeneous objects
• Fluctuations as stochastic deformation