Scattering from Spheres: A New Look into an Old Problem
In this work, we introduce a theoretical framework to describe the scattering from spheres. In our proposed framework, the total field in the outer medium is decomposed in terms of inward and outward electromagnetic fields, rather than in terms of incident and scattered fields, as in the classical L...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/10/2/216 |
| _version_ | 1797409941818966016 |
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| author | Giuseppe Ruello Riccardo Lattanzi |
| author_facet | Giuseppe Ruello Riccardo Lattanzi |
| author_sort | Giuseppe Ruello |
| collection | DOAJ |
| description | In this work, we introduce a theoretical framework to describe the scattering from spheres. In our proposed framework, the total field in the outer medium is decomposed in terms of inward and outward electromagnetic fields, rather than in terms of incident and scattered fields, as in the classical Lorenz–Mie formulation. The fields are expressed as series of spherical harmonics, whose combination weights can be interpreted as reflection and transmission coefficients, which provides an intuitive understanding of the propagation and scattering phenomena. Our formulation extends the previously proposed theory of non-uniform transmission lines by introducing an expression for impedance transfer, which yields a closed-form solution for the fields inside and outside the sphere. The power transmitted in and scattered by the sphere can be also evaluated with a simple closed-form expression and related with the modulus of the reflection coefficient. We showed that our method is fully consistent with the classical Mie scattering theory. We also showed that our method can provide an intuitive physical interpretation of electromagnetic scattering in terms of impedance matching and resonances, and that it is especially useful for the case of inward traveling spherical waves generated by sources surrounding the scatterer. |
| first_indexed | 2024-03-09T04:22:48Z |
| format | Article |
| id | doaj.art-45af1a7c991b44feaadc09e34b0054b2 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T04:22:48Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-45af1a7c991b44feaadc09e34b0054b22023-12-03T13:45:00ZengMDPI AGElectronics2079-92922021-01-0110221610.3390/electronics10020216Scattering from Spheres: A New Look into an Old ProblemGiuseppe Ruello0Riccardo Lattanzi1Department of Electrical Engineering and Information Technology, University of Napoli Federico II, 80125 Naples, ItalyCenter for Advanced Imaging Innovation and Research (CAI2R) and Bernard and Irene Schwartz Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, New York, NY 10016, USAIn this work, we introduce a theoretical framework to describe the scattering from spheres. In our proposed framework, the total field in the outer medium is decomposed in terms of inward and outward electromagnetic fields, rather than in terms of incident and scattered fields, as in the classical Lorenz–Mie formulation. The fields are expressed as series of spherical harmonics, whose combination weights can be interpreted as reflection and transmission coefficients, which provides an intuitive understanding of the propagation and scattering phenomena. Our formulation extends the previously proposed theory of non-uniform transmission lines by introducing an expression for impedance transfer, which yields a closed-form solution for the fields inside and outside the sphere. The power transmitted in and scattered by the sphere can be also evaluated with a simple closed-form expression and related with the modulus of the reflection coefficient. We showed that our method is fully consistent with the classical Mie scattering theory. We also showed that our method can provide an intuitive physical interpretation of electromagnetic scattering in terms of impedance matching and resonances, and that it is especially useful for the case of inward traveling spherical waves generated by sources surrounding the scatterer.https://www.mdpi.com/2079-9292/10/2/216electromagnetic scattering and propagationMie scatteringreflection coefficient |
| spellingShingle | Giuseppe Ruello Riccardo Lattanzi Scattering from Spheres: A New Look into an Old Problem Electronics electromagnetic scattering and propagation Mie scattering reflection coefficient |
| title | Scattering from Spheres: A New Look into an Old Problem |
| title_full | Scattering from Spheres: A New Look into an Old Problem |
| title_fullStr | Scattering from Spheres: A New Look into an Old Problem |
| title_full_unstemmed | Scattering from Spheres: A New Look into an Old Problem |
| title_short | Scattering from Spheres: A New Look into an Old Problem |
| title_sort | scattering from spheres a new look into an old problem |
| topic | electromagnetic scattering and propagation Mie scattering reflection coefficient |
| url | https://www.mdpi.com/2079-9292/10/2/216 |
| work_keys_str_mv | AT giusepperuello scatteringfromspheresanewlookintoanoldproblem AT riccardolattanzi scatteringfromspheresanewlookintoanoldproblem |