Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles
Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the magnetic (and/or electric) field at the singul...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/12/11/1878 |
| _version_ | 1797492280825741312 |
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| author | Michael I. Tribelsky Boris Y. Rubinstein |
| author_facet | Michael I. Tribelsky Boris Y. Rubinstein |
| author_sort | Michael I. Tribelsky |
| collection | DOAJ |
| description | Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the magnetic (and/or electric) field at the singular points and (ii) the singularities related to the formation of standing waves in proximity to the singular points. The connection of these types of singularities to the topology of the singular points, space dimension (3D vs. 2D), and energy conservation law are revealed. In particular, it is shown that in 2D cases in non-dissipative media, the energy conservation reduces the possible types of generic singular points to saddles and centers only. In 3D cases, a universal expression connecting different components of the Poynting vector and valid for any generic singularities is derived and numerically checked for various types of singular points. |
| first_indexed | 2024-03-10T01:01:23Z |
| format | Article |
| id | doaj.art-3dde46d33fda4e1182108b7598ee1d21 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T01:01:23Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-3dde46d33fda4e1182108b7598ee1d212023-11-23T14:33:43ZengMDPI AGNanomaterials2079-49912022-05-011211187810.3390/nano12111878Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by NanoparticlesMichael I. Tribelsky0Boris Y. Rubinstein1Faculty of Physics, M. V. Lomonosov Moscow State University, 119991 Moscow, RussiaStowers Institute for Medical Research, 1000 E. 50th St., Kansas City, MO 64110, USASingularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the magnetic (and/or electric) field at the singular points and (ii) the singularities related to the formation of standing waves in proximity to the singular points. The connection of these types of singularities to the topology of the singular points, space dimension (3D vs. 2D), and energy conservation law are revealed. In particular, it is shown that in 2D cases in non-dissipative media, the energy conservation reduces the possible types of generic singular points to saddles and centers only. In 3D cases, a universal expression connecting different components of the Poynting vector and valid for any generic singularities is derived and numerically checked for various types of singular points.https://www.mdpi.com/2079-4991/12/11/1878mie resonancesnanoparticlesnear wave zonePoynting vector fieldsingularities |
| spellingShingle | Michael I. Tribelsky Boris Y. Rubinstein Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles Nanomaterials mie resonances nanoparticles near wave zone Poynting vector field singularities |
| title | Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles |
| title_full | Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles |
| title_fullStr | Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles |
| title_full_unstemmed | Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles |
| title_short | Nature of the Poynting Vector Field Singularities in Resonant Light Scattering by Nanoparticles |
| title_sort | nature of the poynting vector field singularities in resonant light scattering by nanoparticles |
| topic | mie resonances nanoparticles near wave zone Poynting vector field singularities |
| url | https://www.mdpi.com/2079-4991/12/11/1878 |
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