Issue |
EPL
Volume 96, Number 5, December 2011
|
|
---|---|---|
Article Number | 54001 | |
Number of page(s) | 6 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/96/54001 | |
Published online | 16 November 2011 |
Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics
1
Department of Physics and Solid State Institute, Technion - Haifa, 32000, Israel
2
H4 Energy Solution Ltd - 4 Pakris st., Rehovot, 76702, Israel
a
iomin@physics.technion.ac.il
Received:
14
July
2011
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.