Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept
If a scatterer and an observation point (receive) both approach the so-called near field zone of a source of electromagnetic waves, the scattering process becomes singular one which is mathematically attributed to the spatial singularity of the free space Green function at the origin. Starting from...
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| Format: | Article |
| Language: | English |
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Advanced Electromagnetics
2012-07-01
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| Series: | Advanced Electromagnetics |
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| Online Access: | https://aemjournal.org/index.php/AEM/article/view/34 |
| _version_ | 1818690792895545344 |
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| author | M. Y. Barabanenkov Y. N. Barabanenkov S. A. Nikitov |
| author_facet | M. Y. Barabanenkov Y. N. Barabanenkov S. A. Nikitov |
| author_sort | M. Y. Barabanenkov |
| collection | DOAJ |
| description | If a scatterer and an observation point (receive) both approach the so-called near field zone of a source of electromagnetic waves, the scattering process becomes singular one which is mathematically attributed to the spatial singularity of the free space Green function at the origin. Starting from less well known property of left-handed material slab to transfer the singularity of the free space Green function by implementing coordinate transformation, we present a phenomenon of virtual singular scattering of electromagnetic wave on an inhomogeneity located in the volume of left – handed material slab. Virtual singular scattering means that a scatterer is situated only virtually in the near field zone of a source, being, in fact, positioned in the far field zone. Such a situation is realized if a scatterer is embedded into a flat Veselago’s lens and approaches the lens’s inner focus because a slab of Veselago medium produces virtual sources inside and behind the slab and virtual scatterer (as a source of secondary waves) from both slab sides. Considering a line-like dielectric scatterer we demonstrate that the scattering efficiency is proportional to product of singular quasistatic parts of two empty space Green functions that means a multiplicative quasistatic singularity of the Green function for a slab of inhomogeneous Veselago medium. We calculate a resonance value of the scattering amplitude in the regime similar to the known Mie resonance scattering. |
| first_indexed | 2024-12-17T12:31:38Z |
| format | Article |
| id | doaj.art-bae7caa07afb453cafb432d2c53648a9 |
| institution | Directory Open Access Journal |
| issn | 2119-0275 |
| language | English |
| last_indexed | 2024-12-17T12:31:38Z |
| publishDate | 2012-07-01 |
| publisher | Advanced Electromagnetics |
| record_format | Article |
| series | Advanced Electromagnetics |
| spelling | doaj.art-bae7caa07afb453cafb432d2c53648a92022-12-21T21:48:32ZengAdvanced ElectromagneticsAdvanced Electromagnetics2119-02752012-07-011110.7716/aem.v1i1.3434Virtual Singular Scattering of Electromagnetic Waves in Transformation Media ConceptM. Y. Barabanenkov0Y. N. Barabanenkov1S. A. Nikitov2Institute of Microelectronics Technology (IMT), Russian Academy of Sciences, Chernogolovka, Moscow Region, RussiaV.A Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, Russialeading research worker at the IRE RASIf a scatterer and an observation point (receive) both approach the so-called near field zone of a source of electromagnetic waves, the scattering process becomes singular one which is mathematically attributed to the spatial singularity of the free space Green function at the origin. Starting from less well known property of left-handed material slab to transfer the singularity of the free space Green function by implementing coordinate transformation, we present a phenomenon of virtual singular scattering of electromagnetic wave on an inhomogeneity located in the volume of left – handed material slab. Virtual singular scattering means that a scatterer is situated only virtually in the near field zone of a source, being, in fact, positioned in the far field zone. Such a situation is realized if a scatterer is embedded into a flat Veselago’s lens and approaches the lens’s inner focus because a slab of Veselago medium produces virtual sources inside and behind the slab and virtual scatterer (as a source of secondary waves) from both slab sides. Considering a line-like dielectric scatterer we demonstrate that the scattering efficiency is proportional to product of singular quasistatic parts of two empty space Green functions that means a multiplicative quasistatic singularity of the Green function for a slab of inhomogeneous Veselago medium. We calculate a resonance value of the scattering amplitude in the regime similar to the known Mie resonance scattering.https://aemjournal.org/index.php/AEM/article/view/34ElectromagneticsTheoryMetamaterialsLeft handed mediaGreen function |
| spellingShingle | M. Y. Barabanenkov Y. N. Barabanenkov S. A. Nikitov Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept Advanced Electromagnetics Electromagnetics Theory Metamaterials Left handed media Green function |
| title | Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept |
| title_full | Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept |
| title_fullStr | Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept |
| title_full_unstemmed | Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept |
| title_short | Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept |
| title_sort | virtual singular scattering of electromagnetic waves in transformation media concept |
| topic | Electromagnetics Theory Metamaterials Left handed media Green function |
| url | https://aemjournal.org/index.php/AEM/article/view/34 |
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