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Slender-body theory for plasmonic resonance.

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We developed a new theory for understanding plasmonic resonance in slender metallic nanoparticles. This approach reveals widely tunable, high-quality-factor resonances in the near-infrared spectrum.

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localized-surface-plasmon resonanceplasmonic eigenvalue problemslender-body theory

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Area of Science:

  • Nanophotonics
  • Plasmonics
  • Computational Physics

Background:

  • Localized surface plasmon resonance (LSPR) in metallic nanoparticles is crucial for applications in sensing and optics.
  • Understanding LSPR in non-spherical nanoparticles is complex due to intricate electromagnetic field distributions.

Purpose of the Study:

  • To develop a theoretical framework for analyzing plasmonic resonance in slender, axisymmetric metallic nanoparticles.
  • To investigate the tunability and quality factor of plasmonic resonances in the near-infrared (NIR) regime.

Main Methods:

  • Modal approach involving solving a plasmonic eigenvalue problem.
  • Quasi-static limit analysis using spectral decomposition.
  • Matched asymptotics to derive an effective eigenvalue problem (singular non-local Sturm-Liouville problem).

Main Results:

  • Permittivity eigenvalues exhibit strong singularities with respect to the slenderness parameter, enabling tunable, high-quality-factor NIR resonances.
  • Closed-form solutions for prolate spheroids and numerical solutions for arbitrary shapes were obtained.
  • The theory elucidates the excitation of multiple resonances in non-spheroidal particles under plane-wave illumination.

Conclusions:

  • The developed slender-body theory accurately describes plasmonic resonance in elongated nanoparticles.
  • The findings offer a pathway to design nanoparticles with tailored plasmonic properties for NIR applications.
  • This work provides a robust theoretical tool for analyzing complex plasmonic systems.