2011/11/16 by E. Baskin, Alexander Iomin, A. Iomin · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Calculus (dental) #Dielectric #Electric field #Field (mathematics) #Fractional Differential Equations Solutions #Fractional calculus #Iterative Methods for Nonlinear Equations #Limit (mathematics) #Mathematical analysis #Mathematics #Nanostructure #Optoelectronics #Physics #Plasmonic and Surface Plasmon Research #Pure mathematics #Quantum mechanics #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.mtrl-sci #physics.optics
paper · pdf · doi:10.1209/0295-5075/96/54001
published as EPL, 96 (2011) 54001 · Published in EPL
openalex publication_date 2011/11/16 · arxiv created 2012/03/12 · arxiv updated 2012/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.