1203.2447 (E. Baskin et al.)

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

E. Baskin, A. Iomin

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.

View original: http://arxiv.org/abs/1203.2447