Bianisotropic exceptional points in an isolated dielectric nanoparticle

Exceptional points are spectral singularities of open systems, where several eigenvalues and eigenvectors coalesce. In photonics, they are associated to remarkable phenomena, such as unidirectional scattering, enhanced sensing or chiral mode conversion. In this work, we study scattering of electroma...

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Main Authors: Adrià Canós Valero, Vjaceslavs Bobrovs, Thomas Weiss, Lei Gao, Alexander S. Shalin, Yuri Kivshar
Format: Article
Language:English
Published: American Physical Society 2024-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.013053
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author Adrià Canós Valero
Vjaceslavs Bobrovs
Thomas Weiss
Lei Gao
Alexander S. Shalin
Yuri Kivshar
author_facet Adrià Canós Valero
Vjaceslavs Bobrovs
Thomas Weiss
Lei Gao
Alexander S. Shalin
Yuri Kivshar
author_sort Adrià Canós Valero
collection DOAJ
description Exceptional points are spectral singularities of open systems, where several eigenvalues and eigenvectors coalesce. In photonics, they are associated to remarkable phenomena, such as unidirectional scattering, enhanced sensing or chiral mode conversion. In this work, we study scattering of electromagnetic waves by a single dielectric nanoparticle and observe the appearance of exceptional points in its eigenvalue spectrum. Their existence is linked to breaking the mirror symmetry of the particle. Remarkably, they mark the onset from weak to strong coupling of the resonant modes. We discuss in detail the example of the electric and magnetic dipole modes supported by a silicon nanoparticle. We argue that any two modes of a resonant dielectric nanoparticle can merge to create an exceptional point, provided their resonant frequencies cross as functions of a parameter such as, e.g., aspect ratio, and their field distributions have opposite signs after a reflection in the transverse plane of the structure. The strongly coupled modes radiate as a mixture of electric and magnetic dipoles resulting in an intense bianisotropic response, being easily controlled by symmetry-breaking perturbations. We also study the effect of a dielectric substrate and demonstrate that the latter provides an additional mechanism to tune the position of exceptional points in the parameter space. Finally, we discuss applications of bianisotropic EPs, including their use for refractive-index sensing.
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spelling doaj.art-8933aa65e9db451f88adaa1b8e9f38602024-04-12T17:38:04ZengAmerican Physical SocietyPhysical Review Research2643-15642024-01-016101305310.1103/PhysRevResearch.6.013053Bianisotropic exceptional points in an isolated dielectric nanoparticleAdrià Canós ValeroVjaceslavs BobrovsThomas WeissLei GaoAlexander S. ShalinYuri KivsharExceptional points are spectral singularities of open systems, where several eigenvalues and eigenvectors coalesce. In photonics, they are associated to remarkable phenomena, such as unidirectional scattering, enhanced sensing or chiral mode conversion. In this work, we study scattering of electromagnetic waves by a single dielectric nanoparticle and observe the appearance of exceptional points in its eigenvalue spectrum. Their existence is linked to breaking the mirror symmetry of the particle. Remarkably, they mark the onset from weak to strong coupling of the resonant modes. We discuss in detail the example of the electric and magnetic dipole modes supported by a silicon nanoparticle. We argue that any two modes of a resonant dielectric nanoparticle can merge to create an exceptional point, provided their resonant frequencies cross as functions of a parameter such as, e.g., aspect ratio, and their field distributions have opposite signs after a reflection in the transverse plane of the structure. The strongly coupled modes radiate as a mixture of electric and magnetic dipoles resulting in an intense bianisotropic response, being easily controlled by symmetry-breaking perturbations. We also study the effect of a dielectric substrate and demonstrate that the latter provides an additional mechanism to tune the position of exceptional points in the parameter space. Finally, we discuss applications of bianisotropic EPs, including their use for refractive-index sensing.http://doi.org/10.1103/PhysRevResearch.6.013053
spellingShingle Adrià Canós Valero
Vjaceslavs Bobrovs
Thomas Weiss
Lei Gao
Alexander S. Shalin
Yuri Kivshar
Bianisotropic exceptional points in an isolated dielectric nanoparticle
Physical Review Research
title Bianisotropic exceptional points in an isolated dielectric nanoparticle
title_full Bianisotropic exceptional points in an isolated dielectric nanoparticle
title_fullStr Bianisotropic exceptional points in an isolated dielectric nanoparticle
title_full_unstemmed Bianisotropic exceptional points in an isolated dielectric nanoparticle
title_short Bianisotropic exceptional points in an isolated dielectric nanoparticle
title_sort bianisotropic exceptional points in an isolated dielectric nanoparticle
url http://doi.org/10.1103/PhysRevResearch.6.013053
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