Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle

Mi Sun Min, Tae Woo Lee, Paul F. Fischer, Stephen K. Gray

Research output: Contribution to journalArticlepeer-review

Abstract

We describe Fourier pseudospectral time-domain simulations, carried out in order to study light interacting with a metallic nanoscale object. The difficulty of using Fourier methods to accurately predict the electromagnetic scattering in such problems arises from the discontinuity in the dielectric function along the surface of the metallic object. Standard Fourier methods lead to oscillatory behavior in approximating solutions that are nonsmooth or that have steep gradients. By applying the Gegenbauer reconstruction technique as a postprocessing method to the Fourier pseudospectral solution, we successfully reduce the oscillations after postprocessing. Our computational results, including comparison with finite-diference time-domain simulations, demonstrate the efficiency and accuracy of the method.

Original languageEnglish (US)
Pages (from-to)730-747
Number of pages18
JournalJournal of Computational Physics
Volume213
Issue number2
DOIs
StatePublished - Apr 10 2006
Externally publishedYes

Keywords

  • Fourier pseudospectral method
  • Gegenbauer reconstruction
  • Postprocessing

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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