paper

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

arXiv:1203.2447 · doi:10.1209/0295-5075/96/54001

Abstract

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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