Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics

Details Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics

2012-03-12

arxiv.org/abs/1203.2447v1

EPL, 96 (2011) 54001

Physics

Condensed Matter

Disordered Systems and Neural Networks

Published in EPL

Scientific paper

We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation. The method is based on fractional calculus and permits to obtain analytical expressions for the electric field enhancement.

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