Exceptional Points in the Scattering Resonances of a Sphere Dimer
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914613665202176 |
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| author | Corsaro, Emanuele Capolino, Filippo Forestiere, Carlo |
| author_facet | Corsaro, Emanuele Capolino, Filippo Forestiere, Carlo |
| contents | We investigate exceptional points of degeneracy (EPDs) in electromagnetic scattering of a sphere dimer from the electroquasistatic limit to the fully retarded regime. In the quasistatic limit, we prove that $\parity\trev$-symmetric configurations, realized by spheres with complex-conjugate susceptibilities, host EPDs. Beyond this limit, retardation breaks $\mathscr{PT}$-symmetry; nevertheless, by jointly tuning the material dispersion of the two spheres, we derive analytic synthesis conditions for realizing EPDs at \textit{real frequencies}. Near an EPD, we show that single-parameter perturbations yield the characteristic square-root splitting of the eigenfrequencies, and we quantify its impact on scattering, extinction, and absorption, clarifying sensing implications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exceptional Points in the Scattering Resonances of a Sphere Dimer Corsaro, Emanuele Capolino, Filippo Forestiere, Carlo Optics Mesoscale and Nanoscale Physics We investigate exceptional points of degeneracy (EPDs) in electromagnetic scattering of a sphere dimer from the electroquasistatic limit to the fully retarded regime. In the quasistatic limit, we prove that $\parity\trev$-symmetric configurations, realized by spheres with complex-conjugate susceptibilities, host EPDs. Beyond this limit, retardation breaks $\mathscr{PT}$-symmetry; nevertheless, by jointly tuning the material dispersion of the two spheres, we derive analytic synthesis conditions for realizing EPDs at \textit{real frequencies}. Near an EPD, we show that single-parameter perturbations yield the characteristic square-root splitting of the eigenfrequencies, and we quantify its impact on scattering, extinction, and absorption, clarifying sensing implications. |
| title | Exceptional Points in the Scattering Resonances of a Sphere Dimer |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2512.24104 |