Origin of the Kerker phenomena
We provide an insight into the origin of the phenomena reported 40 years ago by Kerker et al. [J. Opt. Soc. Am. 73, 765 (1983)0030-394110.1364/JOSA.73.000765]. We show that the impedance and refractive index matching conditions, discussed in Secs. II and IV of the seminal paper, are intertwined and...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043311 |
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| author | Jon Lasa-Alonso Chiara Devescovi Carlos Maciel-Escudero Aitzol García-Etxarri Gabriel Molina-Terriza |
| author_facet | Jon Lasa-Alonso Chiara Devescovi Carlos Maciel-Escudero Aitzol García-Etxarri Gabriel Molina-Terriza |
| author_sort | Jon Lasa-Alonso |
| collection | DOAJ |
| description | We provide an insight into the origin of the phenomena reported 40 years ago by Kerker et al. [J. Opt. Soc. Am. 73, 765 (1983)0030-394110.1364/JOSA.73.000765]. We show that the impedance and refractive index matching conditions, discussed in Secs. II and IV of the seminal paper, are intertwined and both lead to the conservation of a Casimir invariant. We derive our results starting from the theory of representations of the Poincaré group, as it is a theory on which one of the most elemental descriptions of electromagnetic waves is based. We show that fundamental features of electromagnetic waves in continuous material environments can be derived by applying the symmetry-breaking principle. In particular, we identify the Casimir invariants of the P_{3,1} subgroup as the magnitudes that describe the nature of monochromatic electromagnetic waves propagating in matter. Finally, we show that the emergence of the Kerker phenomena is associated with the conservation of such Casimir invariants in piecewise homogeneous media. |
| format | Article |
| id | doaj-art-82309ebb00d5436983752e15aeaa2e9c |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-82309ebb00d5436983752e15aeaa2e9c2024-12-24T15:09:03ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404331110.1103/PhysRevResearch.6.043311Origin of the Kerker phenomenaJon Lasa-AlonsoChiara DevescoviCarlos Maciel-EscuderoAitzol García-EtxarriGabriel Molina-TerrizaWe provide an insight into the origin of the phenomena reported 40 years ago by Kerker et al. [J. Opt. Soc. Am. 73, 765 (1983)0030-394110.1364/JOSA.73.000765]. We show that the impedance and refractive index matching conditions, discussed in Secs. II and IV of the seminal paper, are intertwined and both lead to the conservation of a Casimir invariant. We derive our results starting from the theory of representations of the Poincaré group, as it is a theory on which one of the most elemental descriptions of electromagnetic waves is based. We show that fundamental features of electromagnetic waves in continuous material environments can be derived by applying the symmetry-breaking principle. In particular, we identify the Casimir invariants of the P_{3,1} subgroup as the magnitudes that describe the nature of monochromatic electromagnetic waves propagating in matter. Finally, we show that the emergence of the Kerker phenomena is associated with the conservation of such Casimir invariants in piecewise homogeneous media.http://doi.org/10.1103/PhysRevResearch.6.043311 |
| spellingShingle | Jon Lasa-Alonso Chiara Devescovi Carlos Maciel-Escudero Aitzol García-Etxarri Gabriel Molina-Terriza Origin of the Kerker phenomena Physical Review Research |
| title | Origin of the Kerker phenomena |
| title_full | Origin of the Kerker phenomena |
| title_fullStr | Origin of the Kerker phenomena |
| title_full_unstemmed | Origin of the Kerker phenomena |
| title_short | Origin of the Kerker phenomena |
| title_sort | origin of the kerker phenomena |
| url | http://doi.org/10.1103/PhysRevResearch.6.043311 |
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