Plasmon resonance with finite frequencies: a validation of the quasistatic approximation for diametrically small inclusions
Abstract
We study resonance for the Helmholz equation with a finite frequency in a plasmonic material of negative dielectric constant in two and three dimensions. We show that the quasistatic approximation is valid for diametrically small inclusions. In fact, we quantitatively prove that if the diameter of a inclusion is small compared to the loss parameter, then resonance occurs exactly at eigenvalues of the NeumannPoincaré operator associated with the inclusion.
 Publication:

arXiv eprints
 Pub Date:
 June 2015
 arXiv:
 arXiv:1506.03566
 Bibcode:
 2015arXiv150603566A
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Spectral Theory
 EPrint:
 15 pages