Geometry and Surface Plasmon energy

TL;DR

This paper introduces a straightforward geometric rule to determine surface plasmon energies based on surface shape, aiding the design of plasmonic devices like waveguides and tips for spectroscopic applications.

Contribution

It presents a new simple rule linking surface geometry to plasmon energies, applicable to complex shapes like wedges and tips.

Findings

Derived a geometric rule for surface plasmon energies.

Applied the rule to wedges, corners, and conical tips.

Provided practical guidelines for plasmonic device design.

Abstract

We derive a simple rule to determine surface plasmon energies, based on the geometrical properties of the surface of the metal. We apply this concept to obtain the surface plasmon energies in wedges, corners and conical tips. The results presented here provide simple and straightforward rules to design the energy of surface plasmons in severals situations of experimental interest such as in plasmon wave guiding and in tip-enhanced spectroscopies.