Electro-chemical manifestation of nanoplasmonics in fractal media

TL;DR

This paper explores how fractal geometry influences electrodynamics in composite materials using fractional calculus, revealing giant local electric field enhancements and explaining experimental photoconductivity data in nano-electrochemistry.

Contribution

It introduces a fractional calculus framework to analyze nanoplasmonic effects in fractal media, linking geometry with optical field enhancement.

Findings

Analytical expression for electric field enhancement near fractal interfaces

Explanation of experimental photoconductivity data

Link between fractal geometry and electrodynamics

Abstract

Electrodynamics of composite materials with fractal geometry is studied in the framework of fractional calculus. This consideration establishes a link between fractal geometry of the media and fractional integro-differentiation. The photoconductivity in the vicinity of the electrode-electrolyte fractal interface is studied. The methods of fractional calculus are employed to obtain an analytical expression for the giant local enhancement of the optical electric field inside the fractal composite structure at the condition of the surface plasmon excitation. This approach makes it possible to explain experimental data on photoconductivity in the nano-electrochemistry.