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Related Experiment Video

Updated: May 29, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
15:06

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

SHG simulations of plasmonic nanoparticles using curved elements.

René Kullock1, Andreas Hille, Alexander Haussmann

  • 1Institute of Applied Photophysics, Technische Universität Dresden, 01062 Dresden, Germany.

Optics Express
|September 22, 2011
PubMed
Summary

Simulating plasmonic nanostructures with curved elements (CEs) dramatically boosts accuracy and speed in both linear and nonlinear optical simulations. This method is crucial for accurate second-harmonic generation (SHG) analysis in nanostructures.

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Area of Science:

  • Computational electromagnetics
  • Plasmonics
  • Nanophotonics

Background:

  • Accurate simulation of plasmonic nanostructures is computationally intensive.
  • Existing methods struggle with nonlinear optical effects and artifact generation.
  • Discontinuous Galerkin (DG) methods offer potential but require efficient element formulations.

Purpose of the Study:

  • To introduce and evaluate curved elements (CEs) within the discontinuous Galerkin (DG) method for simulating plasmonic nanostructures.
  • To assess the impact of CEs on accuracy, computation speed, and artifact reduction in both linear and nonlinear regimes.
  • To investigate the simulation of second-harmonic generation (SHG) using CEs and an extended Lorentz model (ELM).

Main Methods:

  • Implementation of curved elements (CEs) into the discontinuous Galerkin (DG) framework.

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Evaluating Plasmonic Transport in Current-carrying Silver Nanowires
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Utilization of Plasmonic and Photonic Crystal Nanostructures for Enhanced Micro- and Nanoparticle Manipulation
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  • Simulation of linear plasmonic responses.
  • Investigation of nonlinear second-harmonic generation (SHG) at a silver nanoparticle using an extended Lorentz model (ELM).
  • Analysis of convergence, accuracy, and computational speed compared to ordinary elements.

    • Main Results:

    • CEs provide approximately 9x speedup in the linear regime with comparable accuracy and reduced artifacts.
    • CEs significantly improve convergence and minimize unphysical field artifacts.
    • For DG-SHG calculations, CEs are essential for obtaining physically meaningful results.
    • Matching the boundary approximation order to the polynomial degree of CEs is critical for artifact-free simulations.

    Conclusions:

    • Curved elements (CEs) offer a substantial advancement for simulating plasmonic nanostructures using the DG method.
    • The CE-DG approach enhances computational efficiency and accuracy, particularly for nonlinear optical phenomena like SHG.
    • This method enables more reliable and artifact-free simulations of light-matter interactions at the nanoscale.