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Surface plasmon coupling in periodic metallic nanoparticle structures: a semi-analytical model.

Tian Yang1, Kenneth B Crozier

  • 1School of Engineering and Applied Sciences, Harvard University, 33 Oxford Street, Maxwell Dworkin, Cambridge, Massachusetts 02138, USA. tianyang@deas.harvard.edu

Optics Express
|August 20, 2008
PubMed
Summary

A new semi-analytical model calculates coupling effects in periodic surface plasmon nanoparticle structures. This model uses real-valued frequencies, making it versatile for various nanoparticle arrangements and surroundings.

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Area of Science:

  • Plasmonics
  • Nanophotonics
  • Computational Electromagnetics

Background:

  • Surface plasmon resonance (SPR) in nanoparticles is crucial for optical applications.
  • Understanding inter-particle coupling is essential for designing advanced plasmonic structures.
  • Existing models may have limitations in handling diverse periodic configurations.

Purpose of the Study:

  • To develop a versatile semi-analytical model for calculating plasmonic coupling effects.
  • To enable accurate predictions for periodic arrays of dipolar surface plasmon nanoparticles.
  • To provide a computationally efficient tool for nanophotonic structure design.

Main Methods:

  • Formulation of a semi-analytical model based on dipolar approximations.
  • Inclusion of real-valued frequencies for broad applicability.

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Last Updated: Jul 2, 2026

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  • Consideration of arbitrary dipolar units and surrounding environments.
  • Main Results:

    • The model accurately calculates coupling effects between surface plasmon nanoparticles in periodic structures.
    • Demonstrated applicability to diverse nanoparticle geometries and dielectric environments.
    • Validation against established methods for specific cases.

    Conclusions:

    • The developed semi-analytical model offers a powerful and flexible approach for analyzing plasmonic coupling.
    • This tool facilitates the design and optimization of periodic plasmonic nanostructures.
    • The model's reliance on real-valued frequencies enhances its practical utility in nanophotonics research.