Quantum ergodicity and localization of plasmon resonances

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article number109976
Journal / PublicationJournal of Functional Analysis
Volume285
Issue number4
Online published24 Apr 2023
Publication statusPublished - 15 Aug 2023

Abstract

We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel to the negative permittivity/dielectric material interface. It is known that the SPR oscillation is very sensitive to the material interface. However, we show that the SPR oscillation asymptotically localizes at places with high magnitude of curvature in a certain sense under an assumption equivalent to convexity in the three-dimensional setting. Our work leverages the Heisenberg picture of quantization and quantum ergodicity first derived by Shnirelman, Zelditch, Colin de Verdière and Helffer-Martinez-Robert, as well as certain novel and more general ergodic properties of the Neumann-Poincaré operator to analyze the SPR field, which are of independent interest to the spectral theory and the potential theory. © 2023 Elsevier Inc.

Research Area(s)

  • High curvature, Localization, Quantum ergodicity, Surface plasmon resonance

Citation Format(s)

Quantum ergodicity and localization of plasmon resonances. / Ammari, Habib; Chow, Yat Tin; Liu, Hongyu.
In: Journal of Functional Analysis, Vol. 285, No. 4, 109976, 15.08.2023.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review