Title
Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle
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-difference time-domain simulations, demonstrate the efficiency and accuracy of the method.
Year
DOI
Venue
2006
10.1016/j.jcp.2005.06.025
J. Comput. Physics
Keywords
Field
DocType
fourier method,finite difference time domain,time domain,pseudospectral method,oscillations,electromagnetic waves
Oscillation,Mathematical optimization,Mathematical analysis,Discontinuity (linguistics),Fourier transform,Scattering,Metal,Metallic Object,Electromagnetic radiation,Nanoparticle,Mathematics
Journal
Volume
Issue
ISSN
213
2
0021-9991
Citations 
PageRank 
References 
9
1.68
4
Authors
4
Name
Order
Citations
PageRank
Misun Min1587.83
Tae-Woo Lee2326.60
Paul F. Fischer318123.03
Stephen K. Gray4134.23