Localized surface plasmon resonances of metal nanoparticles of arbitrary shape are analyzed in the near-static limit with retardation included to the second order. Starting from the electrostatic approximation, the second-order correction to the resonant dielectric constant is expressed by means of a triple surface integral. For arbitrary nano particles with cylindrical symmetry we show how the triple surface integral can be significantly simplified, resulting in a computationally efficient scheme for evaluation of nanoparticle plasmon eigenresonances in the near-static limit. The approach allows for calculation of both dipolar and higher-order resonances.
© 2011 Optical Society of America
Original Manuscript: September 28, 2010
Revised Manuscript: January 10, 2011
Manuscript Accepted: January 25, 2011
Published: February 28, 2011
Thomas G. Pedersen, Jesper Jung, Thomas Søndergaard, and Kjeld Pedersen, "Nanoparticle plasmon resonances in the near-static limit," Opt. Lett. 36, 713-715 (2011)