dorsal/arxiv
View SchemaSingular Modes of the Electromagnetic Field
| Authors | Neil V. Budko, Alexander B. Samokhin |
|---|---|
| Categories | |
| ArXiv ID | physics/0606137 |
| URL | https://arxiv.org/abs/physics/0606137 |
| DOI | 10.1088/1751-8113/40/23/016 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) 6239-6250 |
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.
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"abstract": "We show that the mode corresponding to the point of essential spectrum of the\nelectromagnetic scattering operator is a vector-valued distribution\nrepresenting the square root of the three-dimensional Dirac\u0027s delta function.\nAn explicit expression for this singular mode in terms of the Weyl sequence is\nprovided and analyzed. An essential resonance thus leads to a perfect\nlocalization (confinement) of the electromagnetic field, which in practice,\nhowever, may result in complete absorption.",
"arxiv_id": "physics/0606137",
"authors": [
"Neil V. Budko",
"Alexander B. Samokhin"
],
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"doi": "10.1088/1751-8113/40/23/016",
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) 6239-6250",
"title": "Singular Modes of the Electromagnetic Field",
"url": "https://arxiv.org/abs/physics/0606137"
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