Particle plasmons: Why shape matters
American Journal of Physics
American Association of Physics Teachers
Simple analytic expressions for the polarizability of metallic nanoparticles are in wide use in the field of plasmonics, but their origins are not obvious. In this article, expressions for the polarizability of a particle are derived in the quasistatic limit in a manner that allows the physical origin of the terms to be clearly seen. The discussion is tutorial in nature, with particular attention given to the role of particle shape since this is a controlling factor in particle plasmon resonances.
The author is indebted to Baptiste Auguié, Euan Hendry, Chris Burrows, and Alastair Humphrey for many thought-provoking discussions. The assistance of Alastair Humphrey, Martin Gentile, and Ian Hooper with some of the figures is gratefully acknowledged. This work was sponsored both by the Leverhulme Trust and by the Royal Society. The many helpful and constructive comments from the reviewers are also appreciated.
This is the author accepted manuscript. The final version is available from the American Association of Physics Teachers via the DOI in this record.
Vol. 84 (8), pp. 593 - 601