Plasmon-polaritons on the surface of a pseudosphere
Igor I. Smolyaninov, Quirino Balzano, Christopher C. Davis

TL;DR
This paper investigates plasmon-polariton modes on pseudospherical surfaces, providing analytical solutions that could enhance the performance of nanoscale optical devices in microscopy and spectroscopy.
Contribution
It introduces analytical solutions for plasmon-polaritons on negatively curved surfaces, advancing understanding of their resonant behaviors for practical applications.
Findings
Analytical eigenfrequencies and eigenfunctions derived.
Resonant behaviors identified for metal nanotips and nanoholes.
Potential improvements in microscopy and spectroscopy techniques.
Abstract
Plasmon-polariton behavior on the surfaces of constant negative curvature is considered. Analytical solutions for the eigenfrequencies and eigenfunctions are found, which describe resonant behavior of metal nanotips and nanoholes. These resonances may be used to improve performance of metal tips and nanoapertures in various scanning probe microscopy and surface-enhanced spectroscopy techniques.
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