• Photonics Research
  • Vol. 9, Issue 5, 822 (2021)
Gui-Ming Pan1、†, Fang-Zhou Shu1、†, Le Wang1, Liping Shi2、4、*, and Andrey B. Evlyukhin3、5、*
Author Affiliations
  • 1College of Optical and Electronic Technology, China Jiliang University, Hangzhou 310018, China
  • 2Key Laboratory of 3D Micro/Nano Fabrication and Characterization of Zhejiang Province, School of Engineering, Westlake University, Hangzhou 310024, China
  • 3Institute of Quantum Optics, Liebniz University Hannover, 30167 Hannover, Germany
  • 4e-mail: shiliping@westlake.edu.cn
  • 5e-mail: a.b.evlyukhin@daad-alumni.de
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    DOI: 10.1364/PRJ.416256 Cite this Article Set citation alerts
    Gui-Ming Pan, Fang-Zhou Shu, Le Wang, Liping Shi, Andrey B. Evlyukhin. Plasmonic anapole states of active metamolecules[J]. Photonics Research, 2021, 9(5): 822 Copy Citation Text show less

    Abstract

    Anapole states, accompanied by strong suppression of light scattering, have attracted extensive attention in recent years due to their supreme performance in enhancing both linear and nonlinear optical effects. Although both low- and high-order anapole states are observed in the dielectric particles with high refractive index, so far few studies have touched on the topic of plasmonic anapole states. Here we demonstrate theoretically and numerically that the ideal plasmonic anapole states (strong suppression of electric dipole scattering) can be achieved in metallic metamolecules via increasing the coupling strength between Cartesian electric dipole and toroidal dipole moments of the system. The increasing coupling is based on compensation of ohmic losses in a plasmon system by introducing of a gain material, the influence of which is well described by the extended coupled oscillator model. Due to suppression of dipole radiation losses, the excitation of anapole states in plasmonic systems can result in enhancement of the near fields in subwavelength spatial regions outside of nanoparticles. That is especially important for developments of nonlinear nanophotonic and plasmonic devices and active functional metamaterials, which provide facilities for strong light energy concentration at the nanoscale. Development of the considered anapole effect with increase of metamolecule components is discussed.
    a(l,m)=(i)l1k2Z0OlmE0[π(2l+1)]1/2×eimφ{[ψl(kr)+ψl(kr)]Plm(cosθ)r^·Jsca(r)+ψl(kr)kr[ddθPlm(cosθ)θ^·Jsca(r)imsinθPlm(cosθ)φ^·Jsca(r)]}d3r,

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    b(l,m)=(i)l+1k2Z0OlmE0[π(2l+1)]1/2eimϕjl(kr)[imsinθPlm(cosθ)θ^·Jsca(r)+ddθPlm(cosθ)ϕ^·Jsca(r)]d3r,

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    σscaED=c2k4Z06πI0|p+ikT|2,

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    x¨1+γ1x˙1+ω12x1υ12x2=0.5Ptot+α1Eext,

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    x¨2+γ2x˙2+ω22x2υ21x1=0.5Ptot+α2Eext,

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    Gui-Ming Pan, Fang-Zhou Shu, Le Wang, Liping Shi, Andrey B. Evlyukhin. Plasmonic anapole states of active metamolecules[J]. Photonics Research, 2021, 9(5): 822
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