Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics
Department of Physics and Solid State Institute, Technion - Haifa, 32000, Israel
2 H4 Energy Solution Ltd - 4 Pakris st., Rehovot, 76702, Israel
Accepted: 7 October 2011
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.
PACS: 41.20.Cv – Electrostatics; Poisson and Laplace equations, boundary-value problems / 73.20.Mf – Collective excitations (including excitons, polarons, plasmons and other charge-density excitations) / 05.45.Df – Fractals
© EPLA, 2011