Cargando…

The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles

We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle. We reveal the impact of the problem symmetry, the spatial dimension, and the energy cons...

Descripción completa

Detalles Bibliográficos
Autores principales: Tribelsky, Michael I., Rubinstein, Boris Y.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9503538/
https://www.ncbi.nlm.nih.gov/pubmed/36144952
http://dx.doi.org/10.3390/nano12183164
_version_ 1784795988353875968
author Tribelsky, Michael I.
Rubinstein, Boris Y.
author_facet Tribelsky, Michael I.
Rubinstein, Boris Y.
author_sort Tribelsky, Michael I.
collection PubMed
description We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle. We reveal the impact of the problem symmetry, the spatial dimension, and the energy conservation law on the properties of the singularities. We show that, in the cases when the problem symmetry results in the existence of an invariant plane for the Poynting vector field lines, a formation of a standing wave in the immediate vicinity of a singularity gives rise to a saddle-type singular point. All other types of singularities are associated with vanishing at the singular points, either (i) magnetic field, for the polarization plane parallel to the invariant plane, or (ii) electric field, at the perpendicular orientation of the polarization plane. We also show that in the case of two-dimensional problems (scattering by a cylinder), the energy conservation law restricts the types of possible singularities only to saddles and centers in the non-dissipative media and to saddles, foci, and nodes in dissipative. Finally, we show that dissipation affects the (i)-type singularities much stronger than the (ii)-type. The same conclusions are valid for the imaginary part of the Poynting vector in problems where the latter is regarded as a complex quantity. The singular points associated with the formation of standing waves are different for real and imaginary parts of this complex vector field, while all other singularities are common. We illustrate the general discussion by analyzing singularities at light scattering by a subwavelength Germanium cylinder with the actual dispersion of its refractive index.
format Online
Article
Text
id pubmed-9503538
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-95035382022-09-24 The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles Tribelsky, Michael I. Rubinstein, Boris Y. Nanomaterials (Basel) Article We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle. We reveal the impact of the problem symmetry, the spatial dimension, and the energy conservation law on the properties of the singularities. We show that, in the cases when the problem symmetry results in the existence of an invariant plane for the Poynting vector field lines, a formation of a standing wave in the immediate vicinity of a singularity gives rise to a saddle-type singular point. All other types of singularities are associated with vanishing at the singular points, either (i) magnetic field, for the polarization plane parallel to the invariant plane, or (ii) electric field, at the perpendicular orientation of the polarization plane. We also show that in the case of two-dimensional problems (scattering by a cylinder), the energy conservation law restricts the types of possible singularities only to saddles and centers in the non-dissipative media and to saddles, foci, and nodes in dissipative. Finally, we show that dissipation affects the (i)-type singularities much stronger than the (ii)-type. The same conclusions are valid for the imaginary part of the Poynting vector in problems where the latter is regarded as a complex quantity. The singular points associated with the formation of standing waves are different for real and imaginary parts of this complex vector field, while all other singularities are common. We illustrate the general discussion by analyzing singularities at light scattering by a subwavelength Germanium cylinder with the actual dispersion of its refractive index. MDPI 2022-09-13 /pmc/articles/PMC9503538/ /pubmed/36144952 http://dx.doi.org/10.3390/nano12183164 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Tribelsky, Michael I.
Rubinstein, Boris Y.
The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title_full The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title_fullStr The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title_full_unstemmed The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title_short The Poynting Vector Field Generic Singularities in Resonant Scattering of Plane Linearly Polarized Electromagnetic Waves by Subwavelength Particles
title_sort poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9503538/
https://www.ncbi.nlm.nih.gov/pubmed/36144952
http://dx.doi.org/10.3390/nano12183164
work_keys_str_mv AT tribelskymichaeli thepoyntingvectorfieldgenericsingularitiesinresonantscatteringofplanelinearlypolarizedelectromagneticwavesbysubwavelengthparticles
AT rubinsteinborisy thepoyntingvectorfieldgenericsingularitiesinresonantscatteringofplanelinearlypolarizedelectromagneticwavesbysubwavelengthparticles
AT tribelskymichaeli poyntingvectorfieldgenericsingularitiesinresonantscatteringofplanelinearlypolarizedelectromagneticwavesbysubwavelengthparticles
AT rubinsteinborisy poyntingvectorfieldgenericsingularitiesinresonantscatteringofplanelinearlypolarizedelectromagneticwavesbysubwavelengthparticles