Optical response of supported particles
Abstract
The present work reports a general method for the calculation of t he polarizability of a truncated sphere on a substrate. A multipole ex pansion is used, where the multipoles are not necessarily localized in the center of the sphere but can freely move on the revolution axis. From the weak formulation of the boundary conditions, an infinite set of linear equations for the multipole coefficients is derived. To obta in this set, the interaction between the island and the substrate is t aken into account by the technique of image multipoles. For numerical implementation, this set is truncated at an arbitrary mu ltipole order. The accuracy of the method is jugded through the stabil ity of the truncated sphere polarizability and the the fulfilment of t he boundary conditions which are demonstrated to be satisfied in large regions of the parameter space. This method brings an improvement wit h respect to the Bedeaux's case \cite{Wind87a,Wind87b} where the multi poles are located in the center of the sphere.
Cite
@article{arxiv.cond-mat/9906419,
title = {Optical response of supported particles},
author = {Ingve Simonsen and Remi Lazzari and Jacques Jupille and Stephane Roux},
journal= {arXiv preprint arXiv:cond-mat/9906419},
year = {2010}
}
Comments
Revtex, 24 pages including 11 figures. Submitted to Phys. Rev. B